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Congestion Models And Weighted Bayesian Potential Games

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Author Info

  • Giovanni Facchini
  • Freek van Megen
  • Peter Borm
  • Stef Tijs

Abstract

Games associated to congestion situations a la Rosenthal (1973) have pure Nash equilibria. This result implicitly relies on the existence of a potential function. In this paper we will provide a characterization of potential games in terms of coordination games and dummy games. Secondly, we extend Rosenthal's congestion model to an incomplete information setting, and show that the related Bayesian games are potential games and therefore have pure Bayesian equilibria.

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File URL: http://hdl.handle.net/10.1023/A:1004991825894
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Bibliographic Info

Article provided by Springer in its journal Theory and Decision.

Volume (Year): 42 (1997)
Issue (Month): 2 (March)
Pages: 193-206

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Handle: RePEc:kap:theord:v:42:y:1997:i:2:p:193-206

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Web page: http://www.springerlink.com/link.asp?id=100341

Related research

Keywords: Congestion situations; decision under uncertainty; game theory; potentials;

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References

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  1. Carlsson, H. & Van Damme, E., 1990. "Global Games And Equilibrium Selection," Papers 9052, Tilburg - Center for Economic Research.
  2. Heumen, R. van & Peleg, B. & Tijs, S.H. & Borm, P.E.M., 1996. "Axiomatic characterizations of solutions for Bayesian games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72930, Tilburg University.
  3. Slade, M.E., 1989. "What Does An Oligopoly Maximize?," G.R.E.Q.A.M. 89a14, Universite Aix-Marseille III.
  4. Peleg, B. & Potters, J.A.M. & Tijs, S.H., 1996. "Minimality of consistent solutions for strategic games, in particular for potential games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72912, Tilburg University.
  5. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, December.
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Citations

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Cited by:
  1. Mallozzi, L. & Pusillo, L. & Tijs, S.H., 2006. "Approximate Equilibria for Bayesian Multi-Criteria Games," Discussion Paper 2006-121, Tilburg University, Center for Economic Research.
  2. Milchtaich, Igal, 2004. "Social optimality and cooperation in nonatomic congestion games," Journal of Economic Theory, Elsevier, vol. 114(1), pages 56-87, January.
  3. Brânzei, R. & Mallozzi, L. & Tijs, S.H., 2001. "Supermodular Games and Potential Games," Discussion Paper 2001-97, Tilburg University, Center for Economic Research.
  4. Voorneveld, M., 1996. "Equilibria and Approximate Equilibria in Infinite Potential Games," Discussion Paper 1996-94, Tilburg University, Center for Economic Research.
  5. Branzei, Rodica & Mallozzi, Lina & Tijs, Stef, 2003. "Supermodular games and potential games," Journal of Mathematical Economics, Elsevier, vol. 39(1-2), pages 39-49, February.
  6. Voorneveld, M. & Borm, P.E.M. & Megen, F.J.C. van & Tijs, S.H. & Facchini, G., 1999. "Congestion Games and Potentials Reconsidered," Discussion Paper 1999-98, Tilburg University, Center for Economic Research.
  7. Fioravante Patrone & Lucia Pusillo & Stef Tijs, 2007. "Multicriteria games and potentials," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer, vol. 15(1), pages 138-145, July.
  8. Heumen, R. van & Peleg, B. & Tijs, S.H. & Borm, P.E.M., 1996. "Axiomatic characterizations of solutions for Bayesian games," Open Access publications from Tilburg University urn:nbn:nl:ui:12-72930, Tilburg University.
  9. Milchtaich, Igal, 2009. "Weighted congestion games with separable preferences," Games and Economic Behavior, Elsevier, vol. 67(2), pages 750-757, November.
  10. Philippe Jehiel & Moritz Meyer-ter-Vehn & Benny Moldovanu, 2008. "Ex-post implementation and preference aggregation via potentials," Economic Theory, Springer, vol. 37(3), pages 469-490, December.
  11. Hannu Salonen, 2013. "Utilitarian Preferences and Potential Games," Discussion Papers 85, Aboa Centre for Economics.

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