The Global Safety Net, like International Monetary Fund (IMF) and other global institutions; Regional Safety Nets (i.e. the European Stability Mechanism and the Chiang Mai Initiative)[r]
(1)The Financial Safety Nets in East Asia and Europe: A political economy assessment Authors: Luca Alfieri, Nino Kokashvili Abstract
The paper aims to measure and compare the voting power of members states of two financial nets: ASEAN Plus Three Macroeconomic Research Office (AMRO) - Chiang Mai Initiative Multilateralized (CMIM) and the European Stability Mechanism (ESM) Moreover, the study observes the changes of the CMIM before and after the increase of its resources in 2012
The literature concerning comparison between the regional safety nets lacks the proper evaluations from a political economy perspective This work fills this gap in the literature by putting under scrutiny two among the most important and recent regional financial safety nets with two typical measurements of voting systems such as the Shapley-Shubik Index and the Banzhaf Index
The paper shows that the small ASEAN countries, contrary to the assumptions in the literature, are penalized after the changes of 2012 By observing only, the simple voting weights, these effects are not visible However, based on the Shapley-Shubik and the Banzhaf Indices we argue that the voting power of big countries, such as, Japan and China, has increased after the changes in the system in 2012 In contrast, results show that in case of the ESM, there is no substantial differences in voting powers of member states based on the Banzhaf Index and Shapley-Shubik Index
Based on the empirical results of the paper, authors conclude that the AMRO-CMIM should take into account the ESM experience regarding the voting mechanism
Keywords: Financial Safety Nets, Chang Mai Initiative, European Stability Mechanism, voting
power
JEL CLASSIFICATION: F33, F36, F53
Introduction
After the end of the Bretton Woods system and the financial crisis of 2007/2008 the global financial safety net evolved from a centralized global level of intervention to a more articulated multi-layered system The Global Safety Net, like International Monetary Fund (IMF) and other global institutions; Regional Safety Nets (i.e the European Stability Mechanism and the Chiang Mai Initiative); and bilateral arrangements (especially bilateral swap lines among foreigner Central Banks) exist together and trying to find a consistent framework (Krings and Grimes 2019, Rana 2017, McKay et al 2011)
The aim of this paper is to evaluate from a political economy perspective two of the most important regional safety nets: the European Stability Mechanism (ESM) and the system composed by the Chiang Mai Initiative Multilateralized (CMIM) and the Asean Plus Three1 Macroeconomic Research Office (AMRO) A regional safety net (also known as a regional financing arrangement or RFA) can be defined, following McKay et al (2011), as an arrangement among a group of countries that rely each other to a mutual financial support system
(2)in case of balance of payments problems2 This work can be considered as an attempt to fill a research gap in the literature: an assessment and comparison of regional financial safety nets using tools derived by the political economy literature
Previous studies that compared regional safety nets focused more on the different tools and amount of the funds available (McKay et al 2011), eventual relations with the IMF (Krings and Grimes 2019, Mühlich and Fritz 2018, Rana 2017, McKay et al 2011), timing in deliver liquidities (Fritz and Mühlich 2019, Mühlich and Fritz 2018, McKay et al 2011) Even if certain studies compared also the different governance and decision making systems, they normally focalised only on asymmetry of economic sizes of the members (Fritz and Mühlich 2019, Mühlich and Fritz 2018), and problem of impartiality that derived on the presence or not of a veto power or a well understood dominance (Rana 2017, McKay et al 2011)
The creation of the Chiang Mai Initiative and the Asean Plus Three Macroeconomic Research Office (AMRO) and their evolutions in the last decades interested both economists (Mühlich and Fritz 2018, Rana 2017, Kwai 2015, Capannelli 2011) and political scientists (Krings and Grimes 2019, Grimes 2011, Katada 2009) These studies focused especially on the reactions to the crisis of the CMIM financial safety net, the limits of the initiative itself, its possible future evolution taking into account the increasing importance of the AMRO, and the relationships with the International Monetary Fund (Krings and Grimes 2019, Mühlich and Fritz 2018, Rana 2017, Kwai 2015, McKay et al 2011) Currently, no studies have focused on assess the voting powers of the different countries from a quantitative methodological perspective There are only few general considerations, especially on the discussions related to the power of China and Japan inside the Initiative (Krings and Grimes 2019, Kwai 2015)
The European Stability Mechanism is one of the most recent regional financial safety nets and the most important in terms of economic significance, and innovative relations with the International Monetary Fund The history of financial regional agreements in Europe is strictly connected with the European monetary integration process (Rhee et al 2013) Indeed, the creation of the ESM and the other components of the European regional safety net such as the European Financial Stabilization Mechanism (EFSM) and the European Financial Stability Facility (EFSF) was especially due to the eurozone crisis The contributions of this paper in the literature are the following: it assesses, using political economy tools, the voting powers of the European Stability Mechanism and the Chiang Mai Initiative for the first time; it enlarges the typologies of possible methods of comparison among regional safety nets showing the possibility of utilization of more quantitative methods; it derives new policy recommendations and suggestions for improving the AMRO-CMIM considering the European experience
The work measures the voting powers of the member states of these regional arrangements taking into account two well-known indexes of the political economy literature: the Shapley-Shubik Index (Shapley and Shapley-Shubik 1954) and the Banzhaf Index (Banzhaf 1965) Moreover, the study observes the changes of the AMRO-CMIM before and after the decision of increase its resources in 2012
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The data used for estimation, is taken from Capannelli (2011) and Capannelli and Tan (2014) and shows the weights of votes for the different countries participating at the AMRO-CMIM system before and after the changes of 2012 The data for the European Stability Mechanism is taken directly from the ESM web-sources
The results show that the small ASEAN countries, contrary to the assumptions in the previous literature (Kwai 2015), are not reinforced by the new changes on quotas of 2012 but they are, in reality, penalized Moreover, the real voting power of Japan and China has increased This effect is not visible by taking into account only the simple voting weights, however, results differ when the Shapley-Shubik and the Banzhaf indices are applied
The ESM does not show any substantial differences in voting powers of member states neither based on the Banzhaf nor with Shapley-Shubik Index This result indicates that ESM potentially is the benchmark in terms of “impartiality” for the financial nets This result is consistent with Rana (2017) point of view However, the estimations of this paper provide the clearer confirmation on his assumptions through a more quantitative analysis
Hence, the AMRO-CMIM system should take into account the ESM experience not only concerning its different relations with the International Monetary Fund (Rana 2017) but also in terms of voting mechanism This aspect is especially important in the case the de-linked proportion of the liquidity provides and the power of the AMRO will continue to improve in the forthcoming years as foreseen and requested by the large majority of the literature (Mühlich and Fritz 2018, Rana 2017, Kwai 2015) However, as pointed out by Krings and Grimes (2019), there will be required certian change in the current policies of China and Japan
In the first part of the work we introduce the literature on the AMRO-CMIM system and the ESM, an overview of the other regional safety nets, and the related comparative studies In the second part authors explore the political economy studies on international and regional organizations, the Shapley-Shubik and the Banzhaf indices and their applications, and explain the methodology the Indexes are applied to the cases of the AMRO-CMIM and the ESM In the third part authors present the results of analysis, comment, discuss and suggest possible policy implications taking into account the results and arguments from the previous literature on the regional safety nets
1 Literature review
1.1 The Regional Safety Nets in Europe and East Asia 1.1.1 The ESM
(4)and the Eurozone crisis The EFSF was created as a temporary tool in 2010 for providing loans to the countries with limited access to the financial markets due to the crisis (especially Greece) The EFSF still exists legally but it cannot anymore provide loans However it can issue bonds3 The EFSM had the duty to provide assistances to EU countries that had financial difficulties using bonds guaranteed by the European Union The EFSM still performs some specific duties but, as the EFSF, most of its competencies passed to the ESM4
The ESM was set up in 2012 to make permanent the three facilities of the EFSF and increase the amount of total usable resource to almost one trillion euro In this sense both with these resources and its immediately available amount of 500 billions euro (700 billions considering the ESM plus the EFSF), the ESM is the most resourceful regional safety net in the world
The European system is more independent from IMF even though there is a strict collaboration between them (Rana 2017, Rhee et al 2013) However, the ESM’s loans are conditioned by macroeconomic adjustment programs This is one of the reasons why it was used only three times till present time: partially in Spain in 2012, in the case of Cyprus crisis in 2013, and for the last assistance program in Greece in 20155
The member states of the ESM contribute with an authorised capital that is based on respective share of EU total population and the GDP The principal decision-making committee are the Board of Governors and the Board of Directors The Board of Governors comprises representatives of the 19 member states (Eurozone countries) The European Commission and the European Central Bank can send their representatives as observers The chief of the Board is the president of the Eurogroup6
The Board of directors is composed also by the 19 ESM members ECB and EC representatives can assist as observers The directors are appointed by each Governors The chair is the ESM managing Director The decision in both the committee are taken, usually, at qualified majority of 80% The votes are equal to the number of shares of the capital stock of the ESM of the member countries
1.1.2 The CMI
After the Asian crisis of the 1997-1998 the increase of reserves was not considered sufficient as protection tool from East Asian countries (McKibbin and Chanthapun 2009) The crisis was a financial, banking, and currency turmoil in the region with effects on real activity, the society, and even the politics of some countries
Kwai (2015) argues that the countries of the area realized the importance of the economic and financial interconnections and the problem of total dependence on the IMF for the resolutions of
3 https://www.esm.europa.eu/about-us/history
4 See https://ec.europa.eu/info/business-economy-euro/economic-and-fiscal-policy-coordination/eu-financial-assistance/loan-programmes/european-financial-stabilisation-mechanism-efsm_en
(5)the crisis7, which created the necessity of establishing a regional framework for preventing and managing other possible regional crisis As a result, the regional financial framework composed by a regional liquidity support facility (the CMI), the Asian Bond Market Initiative (ABMI), and a regional economic surveillance system - the Economic Review and Policy Dialogue (ERPD) were created
This new regional framework aimed to solve, entirely or partially, the problem related to the lack of liquidity during the crisis, the issues related to the dependence to the USA dollar, the risk of contagion due to the increasing economic interdependence of the region
Initially, in the aftermath of the crisis, the Japanese government proposed the creation of an Asian Monetary Fund but the project encounters critics, especially from USA and IMF experts, and the low interest from China8 The creation of ABMI, ERPD, and CMI was a second best option
The ABMI was launched in 2003 Its objective is to diversify the funding systems of ASEAN Plus Three countries in order to reduce their dependence from bank financing (domestic and international) and to make the bond markets more efficient and liquid in their local currency (Sa 2011) It should also facilitate the issuance in local currency bonds by private or public actors The ERPD was formed in 2000 It is a policy dialogue and an instrument of surveillance, monitoring and analysis of economic and financial conditions of the area During the last years the ERPD was more integrating in the CMI and the central bank governors are involved both in the ERPD and CMI since 2012
The CMI, launched in 2000, was initially a system of bilateral swaps agreement (BSAs) between the Plus Three countries and some of the ASEAN countries, and the ASEAN Swap Arrangement (ASA), that exists already since 1977 in the ASEAN framework
1.1.3 The evolution of CMI
The CMI and the ASEAN Plus Three countries decided to multilateralized the CMI by creating the Chiang Mai Initiative Multilateralized with an amount of 120 billions of dollars and increase the amount of money not submitted to IMF control from 20% to 30%
In 2012 a new agreement was taken to double the total amount of the its resources to 240 billions dollars The increase came in effect in 2014 Furthermore in 2014, the CMIM Precautionary Line (CMIM-PL), a crisis prevention facility, was introduced This line was added to the already existing CMIM Stability Facility (CMIM-SF) that has crisis resolution functions The contributions of the “Plus Three” count for 80% of the total amount The members of the ASEAN contribute for 20% On the other side the “Plus Three” countries cannot borrow more than 50% of contributions while five countries of the ASEAN with the smallest economies can
7 See Kawai (2015) for more information on IMF misjudgements
(6)borrow five times their contribution In addition, these countries have a greater vote power considering their individual contributions
Several authors consider the innovation on the decision-making system quite important (Capannelli and Tan 2014) One of the most important changes is the possibility to decide on the basis of the qualified majority of the two third of the votes instead by consensus This change concerns presently only operating decisions, especially swap activation (Krings and Grimes 2019), but an enlargement of the issues submitted to this decision system is possible in the next future, especially if the system will continue its de-link from the IMF
1.1.4 The AMRO
The AMRO was established in 2011 Its initial function was to support the ERPD and help the CMI’s decision making The AMRO objective is to identify the exposures and to follow the evolution of principal macroeconomic and financial indicators to avoid the problem of moral hazard, related to unconditional financing, and to assure that the members of CMIM will be able to repay their borrowings (Capannelli 2011) The increased importance of the AMRO in the regional framework can be observed looking to the willingness of the ASEAN Plus Three authorities to enhance the collaboration between AMRO and other important international economic institutions9 and its transformation in a real international organization in 2016 The AMRO is an important part of the system not only for the macrosurveillance of the area and advise to the countries of the ASEAN Plus Three but also in case of emergencies of crisis and the lack of a real secretary of the CMIM, the Executive Committee of the AMRO acts as its secretariat de facto It can decide if the country can receive help and it conducts the modality and deliver of the funds The regional supervisor control system presents some advantages: it works on a lower level so increasing the trust between the member countries and makes the directives more acceptable for the members (Sa 2011) In 2016 the AMRO became a real regional organization This reinforced AMRO authority and increased the interest of its role in the current system
1.1.5 The global crises and other problems related to East Asian financial nets
The global financial crisis of 2007-09 showed the limits of the initial framework The crisis affected all the countries of the area through trade channels (Kawai 2015) but also create shortage liquidity in certain countries like South Korea and Indonesia
The financial and currency crisis that affected South Korea in 2007-2008 did not push the country to ask help to the IMF or the CMIM but instead into bilaterally swap agreement with Bank of Japan, Bank of China abd US Fed Especially the latter one, it was decisive to restore the value of the Korean won (Kawai 2015)
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The Indonesian case is similar (even if the crisis was inferior in comparison with the Korean one), but it has an important difference In this case the US Fed did not help the East Asian country Instead, the Indonesian Republic asked for help to international economic institutions (ADB ad World Bank), and some important countries like Australia and, especially, Japan that provides a decisive role to overcome the Indonesian financial turmoil (Kawai 2015)
These cases showed to the ASEAN Plus Three countries three aspects: firstly, the still strict dependence of the region to the US dollar and US Fed support; secondly, that this help is not something that can be taken for granted, thirdly, the regional safety net system was insufficient and need to be strengthen Moreover, Mühlich and Fritz 2018 stress the asymmetries of power and the possible selection that the creditors (normally, the richest and powerful countries) could use against smaller countries
The tapering of the US Fed’s Quantitative Easing in 2013 provoked capital outflows, decline of the stock prices and currency depreciation in the emergent countries like Indonesia and India Kawai (2015) suggests that a faster rising of the interest rates of the FED could bring to relevant liquidity shortage issues
The recent crisis of 2008, the temporary crisis in South Korea and Indonesia, and the tapering of the Federal reserve in 2013 showed the limits of the present framework and increased the request of more changes and reforms of the AMRO-CMIM system
Many scholars complain on the evident limits of the AMRO-CMIM system From the part of the CMIM they claim that the amount of money is not sufficient to have an effect in case of crisis even if it is one of the biggest among the regional safety nets in the world in absolute value (Hill and Menon 2014) Indeed, the countries seem to not be able or not have the willingness to exploit the present system and preferred bilateral agreements that involve some major countries of the area like South Korea and Japan or the USA (Kwai 2015) Moreover, the role of IMF, contested by many authors and supporters of the present regional framework, it is still strong Many authors wish to transform it in a real Asian Monetary Fund (Kwai 2015), others like Chutikamoltham (2017), more modestly, think on a complementary relation with the IMF Rana (2017) suggests that looking at the European experience would be beneficial to establish a new relations among the East Asia safety net and IMF Furthermore, the AMRO resources in terms of expertise are considered insufficient for the present scope and future possible new competencies (Rana 2017, Hill and Menon 2014)
1.2 Other Regional Financial Safety Nets in the world
In the recent decade’s other regions of the world decided to implement new regional safety nets Some regions due to the particularities of their zone, some in response to the crisis, some others to have an alternative to the IMF
(8)The Arab Monetary Fund (AMF) was launched in 1976 and started its operations in 1977 It includes 22 countries between North Africa and Middle East The Fund has a mix of six lending facilities and it is involved in case of short-term liquidity problems and more structural issues In its history it provided 146 loans to benefiting 14 countries (Rana 2017) The executive board is composed by nine members elected by the Board of Governors (of central banks) For a quorum is required two third majority and even if some of the countries are really wealthy in comparison with others, the AMF is considered quite impartial in its decisions due to the particular composition and interests of the member states (McKay et al 2011) In 2010 the Fund increased is total amount (548 millions of US dollars) of lending (Hill and Menon 2014) Access to ordinary loan facilities is connected with an IMF program but, generally, the AMF lending decisions are not conditioned by IMF The main organisms of the AMF are the Board of Governors and the Board of Executive Directors Each member country has a fixed amount of 75 votes plus one vote for each share held The decisions are taken by absolute majority (Fritz and Mühlich, 2019) The Executive Board is composed by eight seats and three of them are held by the largest member countries: Saudi Arabia, Algeria, and Iraq These three members hold about one third of the total votes (Fritz and Mühlich, 2019; McKay et al., 2011)
The Latin American Reserve Fund (Fondo Lainoamericano de Reservas, FLAR) replaced in 1991 the previous Andean Reserve Fund It concerns seven Latin American countries As the CMIM, its principal functions are lending and surveillance It has five kinds of lending instruments (Hill and Menon, 2014) Each country has one vote and it is not related to their contribution (Krings and Grimes 2019) to the fund and decisions are taken mostly with three fourth majority The principal committee are the Assembly of Representatives and the Directorate The former is composed by the Finance ministers of the member states The latter instead is formed by the Central Bank Governors of the member states and it is conducted by the Executive President There are no links with IMF but only an exchange of information The Fund was important especially for smaller country members in the 80s (Hill and Menon, 2014; McKay et al 2011) Recently, however, the fund was used less often (McKay et al 2011) The current total amount is around 2.3 billions US dollars
The North American Framework Agreement launched in 1994 among USA, Canada and Mexico provides short-term liquidity support and it is founded only on bilateral agreements between to member countries Only the Us Treasury required letter from IMF managing director In 1994 the amount was of billions for the Bank of Canada and billions for the Bank of Mexico for the purpose of promoting orderly currency exchange markets Currently, the amount is still very small taking into account the economic dimensions of the countries involved (9 billions US dollars10)
The Eurasian Fund for Stabilization and Development (EFSD) was created in 2009 and derives from the previous EURASEC Anti-crisis Fund It is composed by Russia, Armenia, Tajikistan, Belarus, Kazakhstan, and Kyrgyzistan The total amount of funding is around 8.5 billions of dollars Similarly to other funds, this global financial safety net was restructured and renovated during the Great Recession Accordingly, with Fritz and Mühlich (2019), the delivery of the fund’s loans is very slow (from weeks to more than a year) The EFSD provides only one line
(9)of credit for emergencies conditioned to a reform program The EFSD Council is the most important decision-making body of the fund It is composed by the Ministers of Finance of the member states It is assisted by the Expert Council, for expertise support, and by EFSD Project Unit that prepares and implements projects and acts as the fund´secretariat11
The decisions in the EFSD voting system are taking by simple majority and the different contributions of the member states are considered
1.3 Literature review on Comparison of regional safety nets
In the last decade, after the Great Recession, new regional safety nets were created or reinforced Subsequently, there is a new interest from the part of the scholars and academics as financial stabilization tool against crisis and their relations with the Global safety nets (especially the IMF)
In their work McKay et al (2011) make a comparison among the regional safety nets They consider different aspects of the safety nets, they call them “optimum financing criteria”
The criteria are:
- The amount of the financing pool or resources accessible; - Timely access to the important information;
- The quality of expertise in the different regional safety nets; - The speed in the decision-making of the safety net;
- The impartiality in lending and other decisions (that concerns the problem of power asymmetry in decisions);
- The mechanisms for monitoring and enforcing conditionality
For what concern the European and East Asian nets, the authors consider for Europe the former MFTA because the new regional mechanism were created in the meanwhile or after the publication of their paper
For what concerns the impartiality in lending decisions the authors consider the possible dominance of some members of the regional financial safety net in decision-making that can stop certain decisions in order to fulfil their interests Moreover, it diminishes what the authors call “the sense of ownership” of the less important members This could reduce the commitment to repay the loans or even asking for financial support (McKay et al 2011)
In the comparison among the two is interesting to notice that for the authors the CMIM is considered the most impartial among the regional safety nets This is due not only on the presence of a disbursed loans´ IMF quota but especially to the presence of no veto power and the common interest to prevent a crisis with risk of spill over effect in all the region Furthermore, for McKay et al (2011) the RFAs are more useful for small and medium countries
Rana (2017) in a more recent analysis takes into account also the new European system and stresses its more impartial mechanism However, he observes a high level of impartiality also of
(10)the AMRO-CMIM system The author agrees with the previous literature on the fact that small countries are better protected by regional financial safety nets Rana (2017) dedicates an important paragraph on the relationship among IMF and the new European regional safety nets and he reflects how the AMRO-CMIM system should take into account the IMF-EU experience Muhlich and Fritz (2018) still agree that Regional Safety Nets are the best option for small countries On the AMRO-CMIM system the two authors stress how the use of different bilateral swaps in East Asia is increasing due to the presence of the IMF conditionality over the 30% of the loans However, the literature agrees on the limits of these bilateral agreements (Mühlich and Fritz, 2018, Chutikamoltham, 2017), especially for small countries
In their recent work Krings and Grimes (2019) analysed the institutional design of the FLAR and AMRO-CMIM They first observe that both the two regional nets are “nested” versus “parallel”12
institution considering their relations with IMF They conclude that both can be considered nested institutions with IMF However, both have also the potential “to leave the nest” and become parallel institutions The institutional design research of Krings and Grimes (2019) adds new interesting methodological perspective on the literature that compares regionals safety nets However, it is constructed on semi-structured interview This is consistent also with previous literature In fact, most of the present researches is based mostly on qualitative and/or descriptive analysis (Fritz and Mühlich, 2019, Mühlich and Fritz, 2018, Rana 2017, Rhee et al 2013) A clearer quantitative empirical analysis it could open new insights
1.4 Consideration on the East Asian and Europe financial arrangements
As we can observe, the AMRO-CMIM system and the ESM are among the most recent financial safety nets and the two nets with the highest amount of sources available at present time The main difference between the two resides not only in the total amount in absolute value but especially in the less power in the decision making of the IMF in the ESM It has to be considered that the European integration is a very deep economic integrated environment in comparison to the very shallow integration pushed by market forces as in East Asia (Capanelli 2011) For this reason and the more instable economic framework the presence of the IMF is relevant in East Asia and the progressive detachments from the IMF conditionality is very slow13 However, McKay et al (2011) stress that due the presence of very large economies like China and Japan the AMRO-CMIM can potentially become the most independent regional safety nets from the IMF The hidden potentialities of the AMRO-CMIM system in this sense are pointed out also in the recent work of Krings and Grimes (2019)
2 Methodology
In the literature, there exists two major measures of voting power: the Shapley-Shubik power indices and the Banzhaf power indices (Badinger 2013) Even though, some scholars consider
12 The concept of “nested” and “parallel” institutions derived from the work of Aggarwl (1998) Basically, the main idea is to analyse the linkages of new or adapted institutions have a parallel (that can be even substitutive) or nested connection with pre-existing institutions
(11)that differences between those two approaches are marginal in many cases (Lindner and Machover 2004; Lindner 2008), still, sometimes results of them differ significantly (Paterson 2007) In this article we concentrate on both power measures
2.1 The Shapley-Shubik power index
The Shapley value is a single-valued solution concept for coalitional games introduced by Shapley in 1953 It gives to every coalitional game a compensation which represents the payoff that each player can expect to obtain from participating the game The compensation is a function of its marginal contribution
The Shapley value can be used to measure the power of every member in a decision-making process The index can visualize some power distributions that are not evident with a more superficial analysis Players with same preferences can form coalitions Each coalition that has enough votes to succeed is called winning coalitions, and the others are called losing coalitions The Shapley and Shubik index, considering the above description of the Shapley value, tells us that the power of a coalition is not just proportional to its size The real power of a coalition is measured by the fraction of the possible voting sequences in which that coalition casts the deciding vote, that is, the vote that first guarantees to win or to lose
The real power of a coalition is measured by the fraction of the possible voting sequences in which that coalition casts the deciding vote, that is, the vote that first guarantees to win or to lose
The power index is normalized between and A power of means that a coalition has no effect at all on the outcome of the game (if S and S {i} are both winning coalitions or both losing coalitions); and a power of means a coalition determines the outcome by its vote (if S is a losing coalition, and S {i} is a winning coalition) The sum of the powers of all the players is also always equal to
The Shapley-Shubik index can be formulated as follow:
Shi(N; v) = ∑{S N : S {i}winning,S losing} |S|!×(n−|S|−1)! n!
(12)2.2 The Banzhaf power index
Banzhaf power index, originally invented by Pensore in 194614, is a widely accepted measure of voting power, along with the alternative Shapley–Shubik value The index can be used to measure the power of every member in a decision-making process
The main difference between the two indices lies on the procedure of how votes are taken While Shapley-Shubik measure is used when votes are taken in sequence, the Banzhaf index is applied when voters are independent in their choices and votes are taken simultaneously In the Banzhaf model the underlying poll distribution is binomial with probability of ½ , while in Shapley-Shubik model it is is uniform or “random” (Baldwin et al (2003)
The Banzhaf voting power index is given by ( ) ( ( ) ( )) where ( ) ∑ , ( ) ( *
The normalized Banzhaf index denoted by ( ) is given by following normalization:
( ) ( )
∑ ( )
The Banzhaf power index shows that voting situation depends on the number of ways in which each voter can have an impact on a “swing” in the outcome (Shapley & Dubey 1979) In other words, the Banzhaf index shows the ability of the voter to change the election outcome
2 Testing MCMI using Shapley-Shubik and Banzhaf power indices
This paper aims to show if we can observe the differences in the voting powers of member states of MCMI using the Shapley-Shubik and Banzhaf power indices We test weather the changes due to the total increased size of the MCMI fund in 2012 for an amount of 240 billion dollar impact the voting powers
We calculate Shaply-Shubik and Banzhaf power indices based on voting weights of member states before and after innovation of CMI (see table and table in annex) We consider MCMI vote for the operational function with qualified majority and the weights of the votes have been created to avoid a veto power of China, Japan and Asean as a whole (table 1)
The vote of China plus Hong Kong has the same weight as the vote of Japan and ASEAN as a
(13)whole (table 1) Considering the institutional weakness of the ASEAN structure, it is possible that its member countries will not always vote in the same way (Grimes 2011) It will be interesting to observe the different power of each country taking considering them one by one We use the program SSdirect by the University of Warwick15 and programming techniques to calculate the fundamental definition of the Shapley-Shubik index and Banzhaf, respectively The number of the players (13) is optimal considering the specificities of this program
First, we calculate Shaply-Shubik index and Banzhaf index before the total size increase to 240 billion of dollars of the MCIM and we input following data:
Number of players: 1316
Quota for the qualified majority of two-thirds: 106
The weights of each player considering the column of the table named “total number of votes”.17
Second, we calculate the Shapley-Shubik index and the Banzhaf index for the changed MCMI and we replace previous data with the following:
Number of players: 13
Quota for the qualified majority of two-thirds: 211
The weights of each player considering the column of the table named “total number of votes”
2.4 Testing EMS using Shapley-Shubik and Banzhaf power indices
In this section we test voting powers of EMS using Shapley value and Banzhaf index The voting rights of each ESM Member, as exercised by its appointee or by the latter's representative on the Board of Governors or Board of Directors, shall be equal to the number of shares allocated to it in the authorized capital stock of the ESM
Therefore, to calculate the Shapley-Shubik index and the Banzhaf index for the EMS we use following s data:
Number of players = 19
Quota = 80%
Number of shares allocate in the authorized capital stock
We use the program SSdirect by the University of Warwick18 and programming techniques (python) to calculate the fundamental definition of the Shapley-Shubik index and Banzhaf, respectively The number of the players (19) is optimal considering the specificities of this
15 http://homepages.warwick.ac.uk/~ecaae/ssdirect.html 16 We consider China and Hong Kong as a whole
(14)program
3 Results
We can observe the results of Shuply-Shubik and Banzhaf power indices in table for the member coutnries of the MCMI before and after innovation of the voting system in 2012 Results show that there exists the sufficient difference between distribution voting power (power indices) among coutnries and the weights For example, in case of China and Cambodia, we find a larger voting power with the Shapley-Shubik index (the vote of China counts more than 54,79 times the vote of Cambodia) than considering just the total number of votes (40 versus 1,72 so the vote of China counts 23,25 times more than the vote of Cambodia)
Results indicate to the changes in both Shuply-Shubik index and Banzhaf index after the increase of 240 billion of dollars in the MCIM (see figure 1, and table 3) It is important to underline that, while the situation in Korea and the rich countries of ASEAN is bettered considering their voting power, at the same time, this doesn’t hold for the small economies of the ASEAN In fact, in case of Cambodia and China, even after the innovation, the number of total vote of China still remain 23,25 times the total number of votes of Cambodia However, considering the Shapley-Shubik index, the voting power of China is 84,40 times the voting power of Cambodia
Figure 1: Weight shares of member states before the innovation of MCMI
(15)Figure 1: Voting power (Shapley power index) of the member states before the innovation of MCMI
Source: Authors own calculations
Considering the results (table and table 4) and the possibility that the qualified majority vote will be implemented in other issues or competences in the next years, it will be necessary to revise the total number of votes attributed to each member to avoid to increase too much the power of countries like China and Japan in comparison with the smallest economies like Myanmar and Cambodia
(16)Table 1: Shuply-Shubik and Banzhaf power indices for the member countries of MCMI
before and after the innovation of the decision-making system in 2012
Countries Weight
share
Weight share (after 2012)
Shapley-Shubik
Shapley-Shubik (After 2012)
Banzhaf
Banzhaf (after 2012) China (incl HK) 0.281690141 0.286738351 0.387885 0.379494 0.29344 0.29356
Japan 0.281690141 0.286738351 0.387885 0.379494 0.29344 0.29356 Republic of Korea 0.147887324 0.150537634 0.08648 0.103341 0.18522 0.1818 Brunei Darussalam 0.014084507 0.010752688 0.007079 0.004496 0.00691 0.00967
Cambodia 0.014084507 0.010752688 0.007079 0.004496 0.01168 0.00967 Indonesia 0.042253521 0.043010753 0.020319 0.023038 0.03647 0.0356
Laos 0.014084507 0.010752688 0.007079 0.004496 0.00691 0.00967 Malaysia 0.042253521 0.043010753 0.020319 0.023038 0.03647 0.0356 Myanmar 0.014084507 0.010752688 0.007079 0.004496 0.00691 0.00967 Philippines 0.042253521 0.043010753 0.020319 0.023038 0.03647 0.0356
Singapore 0.042253521 0.043010753 0.020319 0.023038 0.03647 0.0356 Thailand 0.042253521 0.043010753 0.020319 0.023038 0.03647 0.0356 Vietnam 0.021126761 0.017921147 0.007837 0.004496 0.01311 0.01438
Source: Authors own calculations
Figure 1: Comparison of percentage changes in weight shares and voting power (Shapley-Shubik power index) before and after 2012 of MCMI
Source: Authors own calculations
-0.5 -0.4 -0.3 -0.2 -0.1 0.1 0.2 0.3
(17)Figure 2: Comparison of percentage changes in weight shares and voting power (Banzhaf power index) before the innovation of MCMI
Source: Authors own calculations
Figure 3: Comparison of percentage changes in weight shares and voting power (Banzhaf power index) after the innovation of MCMI
Source: Authors own calculations
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
China (incl HK) Japan Republic of Korea Brunei Darussalam Cambodia Indonesia Laos Malaysia Myanmar Philippines Singapore Thailand Vietnam
Banzhaf beofre
Banzhaf % VOTE BEFORE
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
China (incl HK) Japan Republic of Korea Brunei Darussalam Cambodia Indonesia Laos Malaysia Myanmar Philippines Singapore Thailand Vietnam
Banzhaf after
(18)Table 2: Shuply-Shubik and Banzhaf power indices for the member countries of the ESM
Source: Authors own calculations
The results point out two principal issues Firstly, the European experience could be useful for the Asian experience not only in the ways already suggested by the literature but also in term of voting power distribution fairness The relatively greater experience in voting systems for supranational institutions and previous studies on voting powers related to European institutions (Petróczy 2018; Antonakakis et al 2014; Varela and Prado-Dominguez 2012) are possible explanations of this difference Secondly, the supposed good arrangement reached by the East Asian countries towards the small countries is not so good as it seems This contrasted also with the literature that implies how the small countries are generally more comfortable in regional safety net (Mühlich and Fritz 2018; Rana 2017; McKay et al 2011) Finally, recent literature suggests that in case of total replacement of the IMF functions by regional institutions implied that the regional institutions themselves have to impose conditional rules (Mühlich and Fritz 2018) In this case a less asymmetry of voting power become essential An asymmetric power and conditionality rules could greatly reduce the willingness of the small countries to use the regional mechanism even if the IMF authority would be excluded from the East Asian system
(19)Source: Authors own calculations
4 Conclusion
In this paper firstly we described the ESM and the AMRO-CMIM systems, their evolution during time, and the recent problems that they have to face in recent years We have also introduced other regional safety nets in the world and the literature that compares the different aspects of them
In the second part we have described the theory of the Shapley value, its application with the Shapley-Shubik and Banzhaf power indices and we have computed the index for each member countries of the ESM and the MCMI The Shapley value is a single-value solution concept for a coalitional game It takes into account certain properties as the efficiency, the symmetry, the null player, and the additivity property The most used application based on the Shapley value theory is the Shapley-Shubik power index (Shapley and Shubik 1954) For the Shapley-Shubik index the players with same preferences can form coalitions Each coalition that has enough votes to win a poll is called winning coalition, and the others are called losing coalitions The Shapley and Shubik index tells us that the power of a coalition is not just proportional to its size
Banzhaf power index, similartly to Shapley index, is one of the most commonly used power measure for coalition games in a decision-making process However, in contrast with the Shapley-Shubik measure, the Banzhaf index is applied when voters are independent in their choices and votes are taken simultaneously
0 0.05 0.1 0.15 0.2 0.25 0.3 0.35
Austria Belgium Cyprus Estonia FinlandFrance GermanyGreece IrelandItaly Latvia Lithuania LuxemburgMalta NetherlandsPortugal Slovakia Slovenia Spain
EMS
(20)The Shapley-Shubik applied to the MCMI weight of the 13 countries member shows a larger distance of voting power from the biggest economies if compared to the smallest ones (table and 4) The results of Shapley value are slightly different from a simple observation of the total number of votes by countries (figure 1) At the same time, the results of Banzhaf index are closer to the vote shares of member countries, which is logicala as the Banzhalf index does not consider political ties between member states On the other hand, not significant differences can be seen in case of EMS Looking at the results of Shapley and Banzhalf indicies and the voting weights of member countries in the ESM are similar in their values
In case of enlargement of the issues where it would be possible voting with a qualified majority, the policy-makers advisers would consider how to attribute a greater voting power to smallest economies to avoid an excessive difference which cannot just be compensated with the possibility for these small economies to obtain a bigger amount of borrowing (in relation to their contribution) than the biggest economies as China and Japan The last changes, due to the increase of the size of the MCIM, are not encouraging as for the smallest economies
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(23)APPENDICES
Appendix
The Shapley value is a unique solution concept having following proprieties: The efficiency property
∑i N φi(N; v) = v(N)
Let ϕ be a single-valued solution concept, let (N; v) be a coalitional game, and let i N be a player Then ϕi (N; v) is called the value of player i in (N; v) according to ϕ The coalition that will form is the grand coalition N The total sum that the players expect to receive is v(N), the total amount available to them, and we assume that rational players will distribute the entire total sum We consider that nobody wastes part of it
2 Symmetry property φi(N; v) = φj(N; v)
This property is a non-discrimination property such that two players with the same standing in game should expect the same amount (they differ only in their names) Let (N; v) be a coalitional game, and i, j N Players i and j are symmetric players, if for every coalition S N \ {i, j } (which contains neither i nor j as members) The players are symmetric, so they give the same marginal contribution to every coalition that does not contain them Since they are identical from a strategic point of view, if we add a player i to a coalition is equal to adding player j to that coalition
3 The null player property v(S) = v(S {i})
If a player gives no contributes to any coalition he joins, then he should not expect to obtain a positive amount even if he participates in the game A player i is named a null player in a game (N; v) if for every coalition S N, including the empty coalition
A single-valued solution concept φ satisfies the null player property if for each coalitional game (N; v) and every null player i in the game:
φi(N; v) =
4 The additivity property
It tells us that if we combine two coalitional games described by two different functions v and w, the compensation distributed will correspond to the compensation deriving from v sums to that deriving from w such that:
(24)Appendix
Table – Contributions, borrowing multipliers, and voting power under the Multilateralized Chiang Mai Initiative (before total size increase to 240 billion of dollars)
(25)Table 4– Contributions, borrowing multipliers, and voting power under the Multilateralized Chiang Mai Initiative (after total size increase to 240 billion of dollars)
(26) om https://epub.wu.ac.at/4164/1/wp175.pdf