Ex-Post Regret Learning in Games with Fixed and Random Matching: The Case of Private Values
In contexts in which players have no priors, we analyze a learning pro- cess based on ex-post regret as a guide to understand how to play games of incomplete information under private values. The conclusions depend on whether players interact within a fixed set (fixed matching) or they are ran- domly matched to play the game (random matching). The relevant long run predictions are minimal sets that are closed under “the same or better reply” operations. Under additional assumptions in each case, the prediction boils down to pure Nash equilibria, pure ex-post equilibria or pure minimax regret equilibria. These three paradigms exhibit nice robustness properties in the sense that they are independent of beliefs about the exogenous uncertainty of type spaces. The results are illustrated in second-price auctions, first-price auctions and Bertrand duopolies.
|Date of creation:||2010|
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- Mogens Jensen & Birgitte Sloth & Hans Whitta-Jacobsen, 2005.
"The evolution of conventions under incomplete information,"
Springer, vol. 25(1), pages 171-185, 01.
- Hans Jorgen Jacobsen & Mogens Jensen & Birgitte Sloth, 2000. "The Evolution of Conventions under Incomplete Information," Econometric Society World Congress 2000 Contributed Papers 1340, Econometric Society.
- Mogens Jensen & Birgitte Sloth & Hans Jørgen Whitta-Jacobsen, . "The Evolution of Conventions under Incomplete Information," Discussion Papers 03-12, University of Copenhagen. Department of Economics, revised Mar 2003.
- Hans Jorgen Jacobsen & Mogens Jensen & Birgitte Sloth, 1997. "The evolution of conventions under incomplete information," Economics Working Papers 475, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 2000.
- K. Ritzberger & J. Weibull, 2010.
"Evolutionary Selection in Normal-Form Games,"
Levine's Working Paper Archive
452, David K. Levine.
- Dekel, Eddie & Fudenberg, Drew & Levine, David, 2004.
"Learning to Play Bayesian Games,"
3200612, Harvard University Department of Economics.
- Eddie Dekel & Drew Fudenberg & David K. Levine, 2001. "Learning to Play Bayesian Games," Harvard Institute of Economic Research Working Papers 1926, Harvard - Institute of Economic Research.
- Eddie Dekel & Drew Fudenberg & David K. Levine, 2000. "Learning to Play Bayesian Games," Discussion Papers 1322, Northwestern University, Center for Mathematical Studies in Economics and Management Science, revised Jul 2001.
- Eddie Dekel & Drew Fudenberg & David K Levine, 2002. "Learning to Play Bayesian Games," Levine's Working Paper Archive 625018000000000151, David K. Levine.
- Shlomit Hon-Snir & Dov Monderer & Aner Sela, 1996.
"A Learning Approach to Auctions,"
Game Theory and Information
9610004, EconWPA, revised 07 Oct 1996.
- Sergiu Hart, 2005.
Econometric Society, vol. 73(5), pages 1401-1430, 09.
- Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
- Rene Saran & Roberto Serrano, 2010.
"Regret Matching with Finite Memory,"
Levine's Working Paper Archive
661465000000000078, David K. Levine.
- Rene Saran & Roberto Serrano, 2010. "Regret Matching with Finite Memory," Working Papers 2010-10, Brown University, Department of Economics.
- Rene Saran & Roberto Serrano, 2010. "Regret matching with finite memory," Working Papers 2010-10, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Linhart, P. B. & Radner, R., 1989. "Minimax-regret strategies for bargaining over several variables," Journal of Economic Theory, Elsevier, vol. 48(1), pages 152-178, June.
- Roberto Serrano & Rene Saran, 2007.
"The Evolution Of Bidding Behavior In Private-Values Auctions And Double Auctions,"
- Rene Saran & Roberto Serrano, 2007. "The evolution of bidding behavior in private-values auctions and double auctions," Working Papers 2007-10, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Rene Saran & Roberto Serrano, 2007. "The Evolution of Bidding Behavior in Private-Values Auction and Double Auctions," Working Papers 2007-01, Brown University, Department of Economics.
- Sergiu Hart & Andreu Mas-Colell, 2003. "Uncoupled Dynamics Do Not Lead to Nash Equilibrium," American Economic Review, American Economic Association, vol. 93(5), pages 1830-1836, December.
- Saran Rene & Serrano Roberto, 2010. "Regret Matching with Finite Memory," Research Memorandum 033, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- Spulber, Daniel F, 1995. "Bertrand Competition When Rivals' Costs Are Unknown," Journal of Industrial Economics, Wiley Blackwell, vol. 43(1), pages 1-11, March.
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