Generalised fictitious play for a continuum of anonymous players

IJCAI International Joint Conference on Artificial Intelligence

Volumn , Issue , 2009, Pages 245-250

  Rabinovich, Zinovi ^a   Gerding, Enrico ^a   Polukarov, Maria ^a   Jennings, Nicholas R ^a  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER GAMES;

ANONYMOUS GAMES; COMPUTING EQUILIBRIA; EFFICIENT APPROXIMATION ALGORITHMS; EXISTENCE RESULTS; FICTITIOUS PLAY; IMPERFECT INFORMATION; NASH EQUILIBRIA; SIMULTANEOUS AUCTIONS;

APPROXIMATION ALGORITHMS;

EID: 77956048569     PISSN: 10450823     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Conference Paper

References (15)

1. M. Blonski. Equilibrium characterization in large anonymous games. Working paper, University of Manheim, 2001.
2. G. W. Brown. Iterative solutions of games by fictitious play. In Activity Analysis of Production and Allocation. Wiley, 1951.
3. C. Daskalakis and C. H. Papadimitriou. Computing equilibria in anonymous games. In FOCS, 2007.
4. E. H. Gerding, R. K. Dash, D. C. K. Yuen, and N. R. Jennings. Bidding optimally in concurrent second-price auctions of perfectly substitutable goods. In AAMAS, pages 267-274, 2007.
5. E. H. Gerding, Z. Rabinovich, A. Byde, E. Elkind, and N.R. Jennings. Approximating mixed nash equilibria using smooth fictitious play in simultaneous auctions. In AAMAS, 2008.
6. P. R. Jordan, Y. Vorobeychik, and M. P. Wellman. Searching for approximate equilibria in empirical games. In AAMAS, 2008.
7. M. A. Khan, K. P. Rath, and Y. Sun. On the existence of pure strategy equilibria in games with a continuum of players. J. of Economic Theory, 76(1):13-46, 1997.
8. A. Mas-Colell. On a theorem of Schmeidler. J. of Mathematical Economics, 13:201-206, 1984.
9. D. Monderer and L. S. Shapley. Fictitious play property for games with identical interests. J. of Economic Theory, 68(1):258-265, 1996.
10. R. Radner and R. W. Rosenthal. Private information and pure-strategy equilibria. Mathematics of Operations Research, 7(3):401-409, 1982.
11. K. P. Rath, Y. Sun, and S. Yamashige. The nonexistence of symmetric equilibria in anonymous games with compact action spaces. J. of Mathematical Economics, 24:331-346, 1995.
12. D. M. Reeves and M. P. Wellman. Computing best-response strategies in infinite games of incomplete information. In UAI, 2004.
13. D. Schmeidler. Equilibrium points of nonatomic games. J. of Statistical Physics, 7(4):295-300, 1973.
14. J. von Neumann and G. W. Brown. Solutions of games by differential equations. In Contributions to the Theory of Games, pages 73-79. Princeton University Press, 1950.
15. E. Vorobeychik and M. P. Wellman. Stochastic search methods for Nash equilibrium approximation in simulation-based games. In AAMAS, pages 1055-1062, 2008.