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The logit-response dynamics

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Author Info

  • Alós-Ferrer, Carlos
  • Netzer, Nick

Abstract

We develop a characterization of stochastically stable states for the logit-response learning dynamics in games, with arbitrary specification of revision opportunities. The result allows us to show convergence to the set of Nash equilibria in the class of best-response potential games and the failure of the dynamics to select potential maximizers beyond the class of exact potential games. We also study to which extent equilibrium selection is robust to the specification of revision opportunities. Our techniques can be extended and applied to a wide class of learning dynamics in games.

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Bibliographic Info

Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 68 (2010)
Issue (Month): 2 (March)
Pages: 413-427

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Handle: RePEc:eee:gamebe:v:68:y:2010:i:2:p:413-427

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Web page: http://www.elsevier.com/locate/inca/622836

Related research

Keywords: Learning in games Logit-response dynamics Best-response potential games;

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References

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Citations

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Cited by:
  1. Mathias Staudigl, 2010. "Potential games in volatile environments," Vienna Economics Papers 1002, University of Vienna, Department of Economics.
  2. Daijiro Okada & Olivier Tercieux, 2008. "Log-linear Dynamics and Local Potential," Economics Working Papers 0085, Institute for Advanced Study, School of Social Science.
  3. Bagnoli, Lidia & Negroni, Giorgio, 2013. "The evolution of conventions in minimum effort games," Research in Economics, Elsevier, vol. 67(3), pages 259-277.
  4. Jacques Durieu & Hans Haller & Philippe Solal, 2011. "Nonspecific Networking," Games, MDPI, Open Access Journal, vol. 2(1), pages 87-113, February.
  5. Marden, Jason R. & Shamma, Jeff S., 2012. "Revisiting log-linear learning: Asynchrony, completeness and payoff-based implementation," Games and Economic Behavior, Elsevier, vol. 75(2), pages 788-808.
  6. Carlos Alós–Ferrer & Nick Netzer, 2012. "Robust stochastic stability," ECON - Working Papers 063, Department of Economics - University of Zurich, revised Jan 2014.
  7. Ochea, Marius-Ionut, 2013. "Evolution of repeated prisoner's dilemma play under logit dynamics," Journal of Economic Dynamics and Control, Elsevier, vol. 37(12), pages 2483-2499.
  8. Simon Weidenholzer, 2010. "Coordination Games and Local Interactions: A Survey of the Game Theoretic Literature," Games, MDPI, Open Access Journal, vol. 1(4), pages 551-585, November.
  9. Claudio J. Tessone & Angel Sanchez & Frank Schweitzer, . "Diversity-induced resonance in the response to social norms," Working Papers ETH-RC-12-017, ETH Zurich, Chair of Systems Design.
  10. Candogan, Ozan & Ozdaglar, Asuman & Parrilo, Pablo A., 2013. "Dynamics in near-potential games," Games and Economic Behavior, Elsevier, vol. 82(C), pages 66-90.
  11. Alos-Ferrer, Carlos & Kirchsteiger, Georg, 2006. "General Equilibrium and the Emergence of (Non) Market Clearing Trading Institutions," CEPR Discussion Papers 5795, C.E.P.R. Discussion Papers.
  12. Staudigl, Mathias, 2012. "Stochastic stability in asymmetric binary choice coordination games," Games and Economic Behavior, Elsevier, vol. 75(1), pages 372-401.

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