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Global Analysis of an Expectations Augmented Evolutionary Dynamics

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  • Massimiliano Landi

    (SMU)

Abstract

We consider a deterministic evolutionary model where players form expectations about future play. Players are not fully rational and have expectations that change over time in response to current payoffs and feedback from the past. We provide a complete characterization of the qualitative dynamics so induced for a two strategies population game, and relate our findings to standard evolutionary dynamics and equilibrium selection when agents have rational forward looking expectations.

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File URL: http://www.eaber.org/node/22463
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Bibliographic Info

Paper provided by East Asian Bureau of Economic Research in its series Development Economics Working Papers with number 22463.

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Date of creation: Jan 2007
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Handle: RePEc:eab:develo:22463

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Related research

Keywords: evolutionary games; dynamic systems; bounded rationality;

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References

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  1. Matsuyama, Kiminori, 1991. "Increasing Returns, Industrialization, and Indeterminacy of Equilibrium," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 617-50, May.
  2. Bischi, Gian Italo & Kopel, Michael, 2001. "Equilibrium selection in a nonlinear duopoly game with adaptive expectations," Journal of Economic Behavior & Organization, Elsevier, vol. 46(1), pages 73-100, September.
  3. Akihiko Matsui & Kiminori Matsuyama, 1990. "An Approach to Equilibrium Selection," Discussion Papers 970, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  4. Angelo Antoci & Pier Sacco, 1995. "A public contracting evolutionary game with corruption," Journal of Economics, Springer, vol. 61(2), pages 89-122, June.
  5. John Conlisk, 2001. "Costly Predation and the Distribution of Competence," American Economic Review, American Economic Association, vol. 91(3), pages 475-484, June.
  6. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January.
  7. Diamond, Peter & Fudenberg, Drew, 1989. "Rational Expectations Business Cycles in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 97(3), pages 606-19, June.
  8. Lagunoff, Roger, 2000. "On the Evolution of Pareto-Optimal Behavior in Repeated Coordination Problems," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 41(2), pages 273-93, May.
  9. Matsui, Akihiko & Oyama, Daisuke, 2006. "Rationalizable foresight dynamics," Games and Economic Behavior, Elsevier, vol. 56(2), pages 299-322, August.
  10. Burdzy, Krzysztof & Frankel, David M & Pauzner, Ady, 2001. "Fast Equilibrium Selection by Rational Players Living in a Changing World," Econometrica, Econometric Society, vol. 69(1), pages 163-89, January.
  11. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May.
  12. Hommes, Cars & Sorger, Gerhard, 1998. "Consistent Expectations Equilibria," Macroeconomic Dynamics, Cambridge University Press, vol. 2(03), pages 287-321, September.
  13. Krugman, Paul, 1991. "History versus Expectations," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 651-67, May.
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Cited by:
  1. Josephson, Jens, 2001. "Stochastic Adaptation in Finite Games Played by Heterogeneous Populations," Working Paper Series in Economics and Finance 475, Stockholm School of Economics.
  2. Oyama, Daisuke, 2009. "Agglomeration under forward-looking expectations: Potentials and global stability," Regional Science and Urban Economics, Elsevier, vol. 39(6), pages 696-713, November.
  3. Pedro, de Mendonça, 2009. "Self-Enforcing Climate Change Treaties: A Generalized Differential Game Approach with Applications," MPRA Paper 17889, University Library of Munich, Germany.

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