We exhibit and characterize an entire class of simple adaptive strategies, in the repeated play of a game, having the Hannan- consistency property: In the long-run, the player is guaranteed an average payoff as large as the best-reply payoff to the empirical distribution of play of the other players; i.e., there is no ``regret.'' Smooth fictitious play (Fudenberg and Levine [1995]) and regret-matching (Hart and Mas-Colell [2000]) are particular cases. The motivation and application of the current paper come from the study of procedures whose empirical distribution of play is, in the long-run, (almost) a correlated equilibrium. For the analysis we first develop a generalization of Blackwell's [1956a] approachability strategy for games with vector payoffs.
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Length: Date of creation: 12 Apr 1999 Date of revision:
23 Mar 2000 Handle: RePEc:wpa:wuwpga:9904001
Note: Type of Document - Scientific Word v.2.5. First version: March 1999. Revised: December 1999. Contact details of provider: Web page: http://129.3.20.41
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Find related papers by JEL classification: C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory D7 - Microeconomics - - Analysis of Collective Decision-Making C6 - Mathematical and Quantitative Methods - - Mathematical Methods and Programming
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