game theory lctn - thomas s ferguson

... labelled P-position in one move as an N-position. Step 3: Find those positions whose only moves are to labelled N-positions; label such positions as P-positions. Step 4: If no new P-positions were ... hidden moves are not allowed. This rules out battleship and scissors-paper-rock. No draws in a finite number of moves are possible. This rules out tic-tac-toe. In these notes, we restrict attenti...

Ngày tải lên: 08/04/2014, 12:16

... labelled P-position in one move as an N-position. Step 3: Find those positions whose only moves are to labelled N-positions; label such positions as P-positions. Step 4: If no new P-positions were ... hidden moves are not allowed. This rules out battleship and scissors-paper-rock. No draws in a finite number of moves are possible. This rules out tic-tac-toe. In these notes, we restrict attenti...

Ngày tải lên: 08/04/2014, 12:16

... settings where each user acts according to his own selfish interests. We assume that each user will always select the minimum latency path to its destination. In other words, we assume all users are rational ... analysis of Game theory. Usually they observe Game Theory as a way to solve optimization problems in systems where the participants act independently and their decisions affect...

Ngày tải lên: 08/04/2014, 12:15

... expression for m i has a 1 in the position of the left-most one in the expression for s. Choose one such i. Note that m i ⊕ s < m i , because m i ⊕ s has no 1 in this left-most position, and so ... the piles in a single move. This stops the positions {(n, n) : n ∈ N} from being P-positions. We will see that this game has an interesting structure. 2.3 The sum of combinatorial games...

Ngày tải lên: 08/04/2014, 12:16

... remainder of the original game tree is added in a ‘paler’ version for reference purposes. 1 loses1 loses 2 loses2 loses 1 loses 2 loses 1 loses 1 loses 2 loses 2 loses 2 to move 1 to move 1 to ... exercises typically consist of two parts which are fairly similar. The first of these will be covered in the examples sessions, while the second part should serve revision purposes. The examples se...

Ngày tải lên: 08/04/2014, 12:17

... two adversaries armed with nuclear missiles. The situation is volatile because each side has only a few missiles. If one side launches a surprise attack, it will be possible for this attacker ... its enemy&apos ;s missiles. Therefore, the side that attacks first achieves victory, while its opponent suffers defeat. Imagine that a crisis arises between these two nations. The generals on .....

Ngày tải lên: 03/10/2012, 15:19

... symbolizing ‘‘scissors,’’ or all five fingers out symbolizing ‘‘paper.’’ In this game, scissors cut paper, so scissors win. A rock breaks scissors, so the rock wins, and paper covers rock, so paper wins. ... s) Solving for s when both expressions are equal, we get: 5s À 2ð1 À s ¼À2 s þ1ð1 À s 5s À 2 þ 2s ¼À 2s þ 1 À s 7s À 2 ¼À 3s þ 1 7s þ 3s À 2 ¼À 3s þ 3s þ 1 1 0s À 2...

Ngày tải lên: 24/10/2013, 07:20

... a strategy specify a player&apos ;s action only after histories that are not inconsistent with the actions that it specifies at earlier points in the game. This is so because the outcome O (s) ... in this chapter. Nevertheless, we stress that in our opinion the main contribution of the theory is the discovery of interesting stable social norms (strategies) that support mutually desira...

Ngày tải lên: 06/11/2013, 12:15