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The Achievements and the Future of Game Theory: A User's Perspective
Avinash Dixit Princeton University
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Summary overview Some game-theoretic applications were analyzed implicitly for a long time. Game theory is now the dominant mode of thinking in most of economics, and increasing in other social sciences. There is a continuum from abstract theory to its uses, with feedback and contributions in both directions.
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Previous implicitly game theoretic literature
Cournot, Bertrand examples of Nash eq Edgeworth – shrinking contract curve Social choice theory Arrow, Sen International economics Johnson et al (tariff wars) Information economics Akerlof, Spence, Stiglitz
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Increasingly explicit game theoretic formulations
Gradual developments in 1960s and 70s: Debreu-Scarf (cooperative game) Wilson on auctions Hurwicz, Gibbard et al implementation Nash bargaining solution in labor Extensive form bargaining, Rubinstein etc. More in specific fields to follow
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Microeconomics / IO More general, richer view of competition
Many dimensions of competition strategy These other variables are not just shifters of demand and cost curves! Perfect competition is not price-taking, but “expected-utility-taking” Max { E[Π] | E[U] U*}, = 0 by entry yields Max { E[U] | E[Π] 0} = U*
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Industrial organization
Repeated games Implicit collusion, chain-store paradox Feedback on theory – Abreu-Pearce-Stacchetti etc. Two-stage games Location and price competition Entry deterrence Commitment (Spence, Dixit) Private information (Milgrom-Roberts) Feedback on theory - refinements
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Labor economics Bargaining (applications in many fields) Search theory
Raiffa – Art and Science of Negotiation Search theory “Decisions” aspect of Luce and Raiffa Matching theory and applications Gale-Shapley, Roth et al Most of this field is empirical Game theorists can try to use the rich data
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Macro and public economics
Games with one large player (govt) and many small players (private sector) Mechanism design in taxation (Mirrlees) regulation (Baron-Myerson) Dynamic inconsistency, optimal policies with and without commitment, relation to perfectness. Role of delegation
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International Economics
Strategic trade policy Two-stage games of governments & firms Trade liberalization agreements Self-enforcement constraints Need for multilateral enforcement Monetary and fiscal cooperation Decision-making in common central bank Intraction with national fiscal authorities
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Political economy Strategic voting, agenda manipulation Delegation
May not be realistic in mass elections But important in committees, legislatures Rich data allows testing, estimation Delegation Why? Information acquisition Limits – Agency problems How – Mechanism design Power indexes Shapley-Shubik, Banzhaf
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Institutions Attaining mutually preferred social outcomes as equilibria of individual behavior Formal (law) not perfect Non-governmental, self-enforcing, enforcement by third parties Creating focal points for assurance games Resolving prisoners’ dilemmas by Information collection and dissemination Enforcing good behavior: norms and sanctions
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Order without law
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Law without order
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The next 50 years? Behavioral decision and game theory
Comparing findings from lab and field, pinpointing the right mix in each context Degrees of credibility Can this be handled in Harsanyi model Games without common knowledge Incomplete awareness
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Basic research is a never-ending process
“Grook” by Piet Hein Problems worthy of attack Prove their worth by hitting back
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