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Incomplete Information, Dynamic Stability and the Evolution of Preferences: Two Examples

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  • Rabanal, Jean Paul
  • Friedman, Daniel

Abstract

We illustrate general techniques for assessing dynamic stability in games of incomplete information by re-analyzing two models of preference evolution, the Arce (Econ. Inq. 45(4):708–720, 2007) Employer–Worker game and the Friedman and Singh (Games Econ. Behav. 66:813–829, 2009) Noisy Trust game. The techniques include extensions of replicator and gradient dynamics, and for both models they confirm local stability of the key static equilibria. That is, we obtain convergence in time average for initial conditions sufficiently near equilibrium values.

Suggested Citation

  • Rabanal, Jean Paul & Friedman, Daniel, 2014. "Incomplete Information, Dynamic Stability and the Evolution of Preferences: Two Examples," Santa Cruz Department of Economics, Working Paper Series qt4nx5s4h8, Department of Economics, UC Santa Cruz.
    • Handle: RePEc:cdl:ucscec:qt4nx5s4h8
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    1. Benaïm, Michel & Hofbauer, Josef & Hopkins, Ed, 2009. "Learning in games with unstable equilibria," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1694-1709, July.
    2. Fudenberg, Drew & Levine, David, 1998. "Learning in games," European Economic Review, Elsevier, vol. 42(3-5), pages 631-639, May.
    3. Friedman, Daniel & Singh, Nirvikar, 2009. "Equilibrium vengeance," Games and Economic Behavior, Elsevier, vol. 66(2), pages 813-829, July.
    4. Eddie Dekel & Jeffrey C. Ely & Okan Yilankaya, 2007. "Evolution of Preferences -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 74(3), pages 685-704.
    5. Drew Fudenberg & David K. Levine, 1998. "The Theory of Learning in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262061945, December.
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    Cited by:

    1. Jean Paul Rabanal, 2017. "On the Evolution of Continuous Types Under Replicator and Gradient Dynamics: Two Examples," Dynamic Games and Applications, Springer, vol. 7(1), pages 76-92, March.
    2. Berger, Ulrich, 2016. "Learning to trust, learning to be trustworthy," Department of Economics Working Paper Series 212, WU Vienna University of Economics and Business.
    3. Fulei Shi & Chuansheng Wang & Cuiyou Yao, 2022. "A New Evolutionary Game Analysis for Industrial Pollution Management Considering the Central Government’s Punishment," Dynamic Games and Applications, Springer, vol. 12(2), pages 677-688, June.
    4. Daniel G. Arce, 2018. "On the cooperative and competitive aspects of strategic monitoring," Rationality and Society, , vol. 30(3), pages 377-390, August.

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