computational game theory lctn - yishay mansour

... our case we get E[cost-NE] ≤ A ∗OP T + ∞  α=A P [cost-NE ≥ 2α ∗ OP T] ∗ 2OP T Computational Learning Theory Spring Semester, 2003/4 Lecture 1: March 2 Lecturer: Yishay Mansour Scribe: Gur Yaari, ... Networks - Distribution of work where each agent works indepen- dantly. • Computer Science Theory - There are several subfields that use Game Theory: – Maximizing profit in bi...

Ngày tải lên: 08/04/2014, 12:15

... Impartial Combinatorial Games 1. Take-Away Games. Combinatorial games are two-person games with perfect information and no chance moves, and with a win-or-lose outcome. Such a game is determined by ... Graph Games. 1.4 Sums of Combinatorial Games. 1.5 Coin Turning Games. 1.6 Green Hackenbush. References. Part II. Two-Person Zero-Sum Games. 2.1 The Strategic Form of a Game. 2.2 Matrix Game...

Ngày tải lên: 08/04/2014, 12:16

... We write the payoff matrix for the game: Game theory 26 II 1 2 3 4 ··· n I 1 0 -1 2 2 ··· 2 2 1 0 -1 2 ··· 2 3 -2 1 0 -1 2 ··· 2 · · n − 1 -2 -2 ··· 1 0 -1 n -2 -2 ··· 1 0 This apparently daunting ... Resistor networks and troll games . . . . . . . . . . . . . . . . 31 3.6 Hide-and-seek games . . . . . . . . . . . . . . . . . . . . . . . 33 3.7 General hide-and...

Ngày tải lên: 08/04/2014, 12:16

... a game with more than two players). For the remainder of this section, whenever we speak of a game, we assume that that is how it is presented. 2.1 2-person zero-sum games: equilibria Game theory ... of whose entries are 0s. Games like that are special. Definition 3 A game is a zero-sum game if for each final position the pay-offs for all players add up to 0. Such a game can be view...

Ngày tải lên: 08/04/2014, 12:17

... thing to do' is not a legitimate answer in game theory land. You should pay only if it's in your self-interest to pay. There is only a self-interested reason to pay: if you didn't ... if it brings you a large enough one-time benefit. Let's compare the games in Figures 40 and 41. Both are prisoners' dilemma games. In these two games the players get 5 each if th...

Ngày tải lên: 03/10/2012, 15:19

... CHAPTER 11 Game Theory Introduction Probability is used in what is called game theory. Game theory was developed by John von Neumann and is a mathematical analysis of games. In many cases, game theory ... a broad sense, game theory can be applied to sports such as football and baseball, video games, board games, gambling games, investment situations, and even warfare. Two-P...

Ngày tải lên: 24/10/2013, 07:20

... hand, in the infinitely repeated game the set of subgame Page 133 8 Repeated Games The model of a repeated game is designed to examine the logic of long-term interaction. It captures the ... terminating the cycle. • Exercise 148.1 (A game with both long- and short-lived players) Consider an infinite horizon extensive game in which the strategic game G is played between player...

Ngày tải lên: 06/11/2013, 12:15

... the choice of (x ∗ , y ∗ )? 4 2.2 Two-Person General-Sum Games 2.2.1 Basic ideas Two-person general-sum games (sometimes called “bi-matrix games”) can be rep- resented by two (m × n) matrices A ... IE675 Game Theory Lecture Note Set 2 Wayne F. Bialas 1 Wednesday, January 19, 2005 2 TWO-PERSON GAMES 2.1 Two-Person Zero-Sum Games 2.1.1 Basic ideas Definition 2.1. A game (in extensive ... t...

Ngày tải lên: 12/12/2013, 21:16

... necessarily acting wildly in a one-shot game, but may be carrying through his part of an equilibrium in an indefinitely repeated game. 86 Reciprocity Experiments on the Ultimatum Game currently provide a ... to police an equilibrium. It is triggered in one-shot laboratory games because the subjects don’t initially appreciate how the laboratory game differs from the games of life to whi...

Ngày tải lên: 10/01/2014, 18:23

... of multinationals’ agendas, Made-in-China is quickly replaced by Made-for-China. 36 ‘Go East, young man’ looks set to become the rallying cry of the twenty- rst century. 37 Yet the challenges ... in uence on the later Neo-Confucianism, Neo-Taoism and East-Asian Buddhism. An English translation is available in John Major et al ., The Huainanzi: A Giude to the Theory and Practice...

Ngày tải lên: 16/03/2014, 07:20