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Expectations, Animal Spirits, and Evolutionary Dynamics

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Author Info
Angelo Antoci () (University of Sassari)
Massimiliano Landi () (School of Economics and Social Sciences, Singapore Management University)
Pier Luigi Sacco () (IUAV, Venice)

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Abstract

We consider a (deterministic) evolutionary model where players have dynamic expectations about the strategy distribution. We provide a global analysis of the co-evolution of play and expectations for a generic two{by{two game. Besides the the typical indeterminacy of the evolutionary dynamics, we find some other ones: for any initial strategy configuration the dynamics can converge to any asymptotically stable fixed point, for different initial values of the expectations. Moreover, starting from the same initial pair of strategy configuration and values of expectations, the dynamics may lead to different asymptotically stable fixed points for different parameters of the expectations.

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Publisher Info
Paper provided by Singapore Management University, School of Economics in its series Working Papers with number 10-2006.

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Length: 23 pages
Date of creation: Mar 2006
Date of revision:
Publication status: Published in SMU Economics and Statistics Working Paper Series
Handle: RePEc:siu:wpaper:10-2006

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Related research
Keywords: evolutionary games dynamic systems animal spirits

Find related papers by JEL classification:
C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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  1. 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.
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  2. 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. [Downloadable!] (restricted)
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  3. Friedman, Daniel, 1991. "Evolutionary Games in Economics," Econometrica, Econometric Society, vol. 59(3), pages 637-66, May. [Downloadable!] (restricted)
  4. Matsui Akihiko & Matsuyama Kiminori, 1995. "An Approach to Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 65(2), pages 415-434, April. [Downloadable!] (restricted)
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  5. Krugman, Paul, 1991. "History versus Expectations," The Quarterly Journal of Economics, MIT Press, vol. 106(2), pages 651-67, May. [Downloadable!] (restricted)
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