Better-Reply Dynamics with Bounded Recall
AbstractA decision maker is engaged in a repeated interaction with Nature. The objective of the decision maker is to guarantee to himself the average payoff as large as the best-reply payoff to Nature's empirical distribution of play, no matter what Nature does. The decision maker with perfect recall can achieve this objective by a simple better-reply strategy. In this paper we demonstrate that the relationship between perfect recall and bounded recall is not straightforward: The decision maker with bounded recall may fail to achieve this objective, no matter how long recall he has and no matter what better-reply strategy he employs.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Kyiv School of Economics in its series Discussion Papers with number 2.
Date of creation: Jan 2008
Date of revision: Mar 2008
Note: Published in Mathematics of Operations Research, 33, 869-879 (2008)
Contact details of provider:
Postal: 13 Yakira Str, 04119 Kyiv
Web page: http://www.kse.org.ua/
More information through EDIRC
Better-reply dynamics; regret; bounded recall; fictitious play; approachability;
Find related papers by JEL classification:
- C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
- D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
- D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information
This paper has been announced in the following NEP Reports:
- NEP-ALL-2008-02-09 (All new papers)
- NEP-CBE-2008-02-09 (Cognitive & Behavioural Economics)
- NEP-EVO-2008-02-09 (Evolutionary Economics)
- NEP-GTH-2008-02-09 (Game Theory)
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Fudenberg, Drew & Levine, David, 1995.
"Consistency and Cautious Fictitious Play,"
3198694, Harvard University Department of Economics.
- Hart, Sergiu & Mas-Colell, Andreu, 2001.
"A General Class of Adaptive Strategies,"
Journal of Economic Theory,
Elsevier, vol. 98(1), pages 26-54, May.
- Sergiu Hart & Andreu Mas-Colell, 1999. "A General Class of Adaptive Strategies," Game Theory and Information 9904001, EconWPA, revised 23 Mar 2000.
- Sergiu Hart & Andreu Mas-Colell, 1999. "A general class of adaptative strategies," Economics Working Papers 373, Department of Economics and Business, Universitat Pompeu Fabra.
- Sergiu Hart & Andreu Mas-Colell, 1997.
"A Simple Adaptive Procedure Leading to Correlated Equilibrium,"
Game Theory and Information
9703006, EconWPA, revised 24 Mar 1997.
- Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, vol. 68(5), pages 1127-1150, September.
- S. Hart & A. Mas-Collel, 2010. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Levine's Working Paper Archive 572, David K. Levine.
- Sergiu Hart & Andreu Mas-Colell, 1996. "A simple adaptive procedure leading to correlated equilibrium," Economics Working Papers 200, Department of Economics and Business, Universitat Pompeu Fabra, revised Dec 1996.
- Ehud Lehrer & Eilon Solan, 2003. "No-Regret with Bounded Computational Capacity," Discussion Papers 1373, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Foster, Dean P. & Vohra, Rakesh, 1999. "Regret in the On-Line Decision Problem," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 7-35, October.
- Rene Saran & Roberto Serrano, 2010.
"Regret matching with finite memory,"
2010-10, Instituto Madrileño de Estudios Avanzados (IMDEA) Ciencias Sociales.
- Saran Rene & Serrano Roberto, 2010. "Regret Matching with Finite Memory," Research Memoranda 033, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization.
- 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, 2012. "Regret Matching with Finite Memory," Dynamic Games and Applications, Springer, vol. 2(1), pages 160-175, March.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Olena Nizalova).
If references are entirely missing, you can add them using this form.