论文信息 - Fictitious Play in 2 × 3 Games - 字舞流文

Fictitious Play in 2 × 3 Games

We prove that every continuous fictitious play, independent of initial actions, approaches equilibrium in every nondegenerate 2 × 3 game. Journal of Economic Literature Classification Numbers: C72, D83.

Aner Sela | A. Sela

[1] Aner Sela. Fictitious play in ‘one-against-all’ multi-player games , 1999 .

[2] Vijay Krishna,et al. Learning in Games: Fictitious Play Dynamics , 1997 .

[3] David M. Kreps,et al. Learning Mixed Equilibria , 1993 .

[4] D. Monderer,et al. Belief Affirming in Learning Processes , 1997 .

[5] D. Monderer,et al. A 2£ 2 Game without the Fictitious Play Property ⁄ , 1996 .

[6] C. Harris. On the Rate of Convergence of Continuous-Time Fictitious Play , 1998 .

[7] Ben Polak,et al. Fictitious play in 2×2 games: A geometric proof of convergence , 1994 .

[8] Sergiu Hart,et al. Cooperation: Game-Theoretic Approaches , 2012, NATO ASI Series.

[9] Vijay Krishna,et al. On the Convergence of Fictitious Play , 1998, Math. Oper. Res..

[10] L. Shapley,et al. Fictitious Play Property for Games with Identical Interests , 1996 .

[11] Paul R. Milgrom,et al. Adaptive and sophisticated learning in normal form games , 1991 .

[12] L. Shapley. SOME TOPICS IN TWO-PERSON GAMES , 1963 .

[13] A. W. Tucker,et al. Advances in game theory , 1964 .

[14] J. Robinson. AN ITERATIVE METHOD OF SOLVING A GAME , 1951, Classics in Game Theory.