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Stochastic Evolution of Rules for Playing Finite Normal Form Games

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Author Info
Fabrizio Germano ()

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Abstract

The evolution of boundedly rational rules for playing normal form games is studied within stationary environments of stochastically changing games. Rules are viewed as algorithms prescribing strategies for the different normal form games that arise. It is shown that many of the “folk resultsâ€\x9D of evolutionary game theory, typically obtained with a fixed game and fixed strategies, carry over to the present environments. The results are also related to some recent experiments on rules and games. Copyright Springer Science+Business Media, LLC 2007

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File URL: http://hdl.handle.net/10.1007/s11238-007-9032-8
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Publisher Info
Article provided by Springer in its journal Theory and Decision.

Volume (Year): 62 (2007)
Issue (Month): 4 (May)
Pages: 311-333
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:kap:theord:v:62:y:2007:i:4:p:311-333

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Web page: http://www.springerlink.com/link.asp?id=100341

For technical questions regarding this item, or to correct its listing, contact: (Christopher F. Baum).

Related research
Keywords: bounded rationality; evolutionary dynamics; learning; normal form games; rules; stochastic dynamics; C72; C73; D81; D83;

References listed on IDEAS
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.:

  1. Rankin, Frederick W. & Van Huyck, John B. & Battalio, Raymond C., 2000. "Strategic Similarity and Emergent Conventions: Evidence from Similar Stag Hunt Games," Games and Economic Behavior, Elsevier, vol. 32(2), pages 315-337, August. [Downloadable!] (restricted)
  2. Stahl, Dale O., 2000. "Rule Learning in Symmetric Normal-Form Games: Theory and Evidence," Games and Economic Behavior, Elsevier, vol. 32(1), pages 105-138, July. [Downloadable!] (restricted)
  3. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May. [Downloadable!] (restricted)
  4. Hart, Sergiu & Mas-Colell, Andreu, 2001. "A General Class of Adaptive Strategies," Journal of Economic Theory, Elsevier, vol. 98(1), pages 26-54, May. [Downloadable!] (restricted)
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  5. Sergiu Hart & Andreu Mas-Colell, 2001. "Regret-Based Continuous-Time Dynamics," Discussion Paper Series dp309, Center for Rationality and Interactive Decision Theory, Hebrew University, Jerusalem, revised Apr 2003. [Downloadable!]
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  6. Ritzberger, Klaus & Weibull, Jorgen W, 1995. "Evolutionary Selection in Normal-Form Games," Econometrica, Econometric Society, vol. 63(6), pages 1371-99, November. [Downloadable!] (restricted)
  7. Costa-Gomes, Miguel & Crawford, Vincent P & Broseta, Bruno, 2001. "Cognition and Behavior in Normal-Form Games: An Experimental Study," Econometrica, Econometric Society, vol. 69(5), pages 1193-1235, September.
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  8. Juang, Wei-Torng, 2002. "Rule Evolution and Equilibrium Selection," Games and Economic Behavior, Elsevier, vol. 39(1), pages 71-90, April. [Downloadable!] (restricted)
  9. Ed Hopkins, 2002. "Two Competing Models of How People Learn in Games," Econometrica, Econometric Society, vol. 70(6), pages 2141-2166, November. [Downloadable!] (restricted)
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  10. Fabrizio Germano, 2004. "Stochastic Evolution of Rules for Playing Normal Form Games," Economics Working Papers 761, Department of Economics and Business, Universitat Pompeu Fabra. [Downloadable!]
  11. Dale O. Stahl, 1999. "Evidence based rules and learning in symmetric normal-form games," International Journal of Game Theory, Springer, vol. 28(1), pages 111-130. [Downloadable!] (restricted)
  12. Cabrales, Antonio & Sobel, Joel, 1992. "On the limit points of discrete selection dynamics," Journal of Economic Theory, Elsevier, vol. 57(2), pages 407-419, August. [Downloadable!] (restricted)
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  13. Heller, Dana, 2004. "An evolutionary approach to learning in a changing environment," Journal of Economic Theory, Elsevier, vol. 114(1), pages 31-55, January. [Downloadable!] (restricted)
  14. 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. [Downloadable!]
  15. Cabrales, Antonio, 2000. "Stochastic Replicator Dynamics," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 451-81, May.
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  16. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August. [Downloadable!] (restricted)
  17. Rosenthal, R W, 1979. "Sequences of Games with Varying Opponents," Econometrica, Econometric Society, vol. 47(6), pages 1353-66, November. [Downloadable!] (restricted)
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Cited by:
(explanations, 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.)

  1. Schipper, Burkhard C, 2008. "On an Evolutionary Foundation of Neuroeconomics," MPRA Paper 8884, University Library of Munich, Germany. [Downloadable!]
    Other versions:
  2. Spiliopoulos, Leonidas, 2009. "Neural networks as a learning paradigm for general normal form games," MPRA Paper 16765, University Library of Munich, Germany. [Downloadable!]
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This page was last updated on 2009-11-8.

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