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1603/4 Partial-Conflict & Larger

1603/4 Partial-Conflict & Larger. Partial conflict games are variable-sum games, in which the sum of pay-offs to the players at the different outcomes varies. Dominant strategy is the strategy that is MOST advantageous for the player in question.

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1603/4 Partial-Conflict & Larger

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  1. 1603/4 Partial-Conflict & Larger

  2. Partial conflict games are variable-sum games, in which the sum of pay-offs to the players at the different outcomes varies. Dominant strategy is the strategy that is MOST advantageous for the player in question. Nash Equilibrium – When no player can benefit by departing unilaterally (by itself) from its strategy associated with an outcome.

  3. Prisoners’ Dilemma is a two person variable-sum game in which each player has two strategies, cooperate or defect. Defect dominates cooperate for both players, even though the mutual-defection outcome, which is the unique Nash equilibrium in the game, is worse for both players than the mutual-cooperation outcome.

  4. Example: Arms race A = US arm in preperation for war (noncooperation) D = US disarm, or at least negotiate an arms-control agreement (cooperation) There are 4 possible outcomes when dealing with…North Korea. (D,D) both US & NK disarm which is the “next best” for both because, while advantageous to each, it also entails certain risks. (A,A) both US & NK arm Which is the “next worst” for both, because, they spend needlessly on arms and are comparatively no better off than at (D,D) (A,D) US Arms & NK disarms Which is “best” for US and “worst” for NK, because US gains a big edge over NK (D,A) US disarms & NK arms Which is “worst” for US and “best” for NK, because NK gains a big edge over US

  5. Example: Arms race A = US arm in preperation for war (noncooperation) D = US disarm, or at least negotiate an arms-control agreement (cooperation) There are 4 possible outcomes when dealing with…North Korea. (D,D) both US & NK disarm which is the “next best” for both because, while advantageous to each, it also entails certain risks. (A,A) both US & NK arm Which is the “next worst” for both, because, they spend needlessly on arms and are comparatively no better off than at (D,D) (A,D) US Arms & NK disarms Which is “best” for US and “worst” for NK, because US gains a big edge over NK (D,A) US disarms & NK arms Which is “worst” for US and “best” for NK, because NK gains a big edge over US NK A D Favor US A Arm US D Favor NK Disarm

  6. NK A D Favor US A Arm US D Favor NK Disarm Give ranks for each (dominant Strat.) NK A D (4,1) A (2,2) US D (1,4) (3,3)

  7. Game of Chicken P588: 18-23 Bre H T Fred H 1 -1 T -1 1

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