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Better-reply dynamics and global convergence to Nash equilibrium in aggregative games

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  • Dindos, Martin
  • Mezzetti, Claudio

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File URL: http://www.sciencedirect.com/science/article/pii/S0899-8256(05)00003-5
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Article provided by Elsevier in its journal Games and Economic Behavior.

Volume (Year): 54 (2006)
Issue (Month): 2 (February)
Pages: 261-292

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Handle: RePEc:eee:gamebe:v:54:y:2006:i:2:p:261-292
Contact details of provider: Web page: http://www.elsevier.com/locate/inca/622836

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  1. Drew Fudenberg & David K. Levine, 1996. "The Theory of Learning in Games," Levine's Working Paper Archive 624, David K. Levine.
  2. Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
  3. Corchon, Luis C. & Mas-Colell, Andreu, 1996. "On the stability of best reply and gradient systems with applications to imperfectly competitive models," Economics Letters, Elsevier, vol. 51(1), pages 59-65, April.
  4. Dastidar, Krishnendu Ghosh, 2000. "Is a Unique Cournot Equilibrium Locally Stable?," Games and Economic Behavior, Elsevier, vol. 32(2), pages 206-218, August.
  5. Thorlund-Petersen, Lars, 1990. "Iterative computation of cournot equilibrium," Games and Economic Behavior, Elsevier, vol. 2(1), pages 61-75, March.
  6. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  7. F. H. Hahn, 1962. "The Stability of the Cournot Oligopoly Solution," Review of Economic Studies, Oxford University Press, vol. 29(4), pages 329-331.
  8. Friedman, James W. & Mezzetti, Claudio, 2001. "Learning in Games by Random Sampling," Journal of Economic Theory, Elsevier, vol. 98(1), pages 55-84, May.
  9. Gale, D. & Rosental, R.W., 1996. "Experimentation, Imitation, and Stochastic Stability," Papers 65, Boston University - Industry Studies Programme.
  10. Kukushkin, Nikolai S., 2004. "Best response dynamics in finite games with additive aggregation," Games and Economic Behavior, Elsevier, vol. 48(1), pages 94-110, July.
  11. K. Okuguchi, 1964. "The Stability of The Cournot Oligopoly Solution: A Further Generalization," Review of Economic Studies, Oxford University Press, vol. 31(2), pages 143-146.
  12. al-Nowaihi, A. & Levine, P. L., 1985. "The stability of the cournot oligopoly model: A reassessment," Journal of Economic Theory, Elsevier, vol. 35(2), pages 307-321, August.
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Cited by:

  1. Dubey, Pradeep & Haimanko, Ori & Zapechelnyuk, Andriy, 2006. "Strategic complements and substitutes, and potential games," Games and Economic Behavior, Elsevier, vol. 54(1), pages 77-94, January.
  2. Hwang, Sung-Ha & Newton, Jonathan, 2016. "Payoff Dependent Dynamics and Coordination Games," Working Papers 2016-12, University of Sydney, School of Economics.
  3. Ross Cressman, 2009. "Continuously stable strategies, neighborhood superiority and two-player games with continuous strategy space," International Journal of Game Theory, Springer;Game Theory Society, vol. 38(2), pages 221-247, June.
  4. Galbiati, Marco & Soramaki, Kimmo, 2008. "An agent-based model of payment systems," Bank of England working papers 352, Bank of England.
  5. Hefti, Andreas, 2016. "On the relationship between uniqueness and stability in sum-aggregative, symmetric and general differentiable games," Mathematical Social Sciences, Elsevier, vol. 80(C), pages 83-96.

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