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Unit IV: Thinking about Thinking

Unit IV: Thinking about Thinking. Choice and Consequence Learning to Cooperate Summary and Conclusions. 4/ 27. Summary and Conclusions. Final Exam The Evolution of Game Theory Tournament Update. The Evolution of Game Theory. 1928 1944 1950 1960 1984 1994 1949 1989

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Unit IV: Thinking about Thinking

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  1. Unit IV: Thinking about Thinking • Choice and Consequence • Learning to Cooperate • Summary and Conclusions 4/27

  2. Summary and Conclusions • Final Exam • The Evolution of Game Theory • Tournament Update

  3. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 1949 1989 ZEROSUM GAMESNONZEROSUM GAMESREPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-Test The End of the Cold War Nobel: Harsanyi, Selten & Nash

  4. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 1949 1989 ZEROSUM GAMESNONZEROSUM GAMESREPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-Test The End of the Cold War Nobel: Harsanyi, Selten & Nash

  5. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 1949 1989 ZEROSUM GAMESNONZEROSUM GAMESREPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-Test The End of the Cold War Nobel: Harsanyi, Selten & Nash A fourth paradigm?EVOLUTIONARY GAMES ?? ESS

  6. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 1949 1989 ZEROSUM GAMES NONZEROSUM GAMES REPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-Test The End of the Cold War Nobel: Harsanyi, Selten & Nash

  7. The Evolution of Game Theory “And here it becomes emphatically clear that the intellectual processes of choosing a strategy in pure conflict and choosing a strategy of coordination are of wholly different sorts …. In the pure-coordination game, the player’s objective is to make contact with the other player through some imaginative process of introspection, of searching for shared clues; in the minimax strategy of a zero-sum game … -- one’s whole objective is to avoid any meetings of the mind, even an inadvertent one”(Schelling, 1960, p. 96).

  8. The Evolution of Game Theory Once we move to nonzero-sum games, however, the status of game theory grows ambiguous: • Coordination Games • Bargaining Games • Repeated Games • Public Goods Games PLAY BEST RESPONSE STRATEGY? There may be more than one, and the “right” one will depend on what the other/s choose\s. PLAY DOMINANT STRATEGY (when it exists)? PD! Multiple and/or inefficient equilibria

  9. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 1949 1989 ZEROSUM GAMES NONZEROSUM GAMES REPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-Test The End of the Cold War Nobel: Harsanyi, Selten & Nash

  10. The Evolution of Game Theory 1928 1944 1950 1960 1984 1994 19491989 ZEROSUM GAMES NONZEROSUM GAMES REPEATED GAMES MINIMAX THEOREM NASH EQUILIBRIUM FOLK THEOREM PRISONER’S DILEMMA WAR EXCHANGE COOPERATION PARLOR GAMES NUCLEAR TRADE SUSTAINABLE ARMS RACE DEVELOPENT Theory of Games Strategy & Conflict The Evolution & Economic Behavior of Cooperation Soviet A-TestThe End of the Cold War Nobel: Harsanyi, Selten & Nash

  11. Summary & Conclusion [W]here trust and good faith do not exist and cannot be made to by our acting as though they did, we may wish to solicit advice from the underworld, or from ancient despotism, on how to make agreements when trust and good faith are lacking and there is no legal recourse for breach on contract. The ancient exchanged hostages, drank from the same glass to demonstrate the absence of poison, met in public places (…) and even deliberately exchanged spies to facilitate transmittal of authentic information. It seems likely that a well-developed theory of strategy could (…) discover modern equivalents that, though offensive to our taste, may be desperately needed in the regulation of conflict. – Schelling,1960, p. 20

  12. For Further Interest Binmore, K. Game Theory & the Social Contract, II (1998). Gintis, H. Game Theory Evolving (2000). Kreps, D. Game Theory and Economic Modelling (1994). Raiffa, H. The Art and Science of Negotiation (1982).

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