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On potential maximization as a refinement of Nash equilibrium

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Author Info
Rod Garratt () (University of California, Santa Barbara)
Cheng-Zhong Qin () (University of California, Santa Barbara)

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Abstract

We specify an adjustment process that converges to the set of potential-maximizing strategy profiles for 3-player cooperation-formation games or n-player cooperation-formation games based on a superadditive characteristic function. Our analysis provides a justification for potential maximization as a refinement of Nash equilibrium in these settings.

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File URL: http://www.economicsbulletin.com/2003/volume3/EB-03C70001A.pdf
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Publisher Info
Article provided by Economics Bulletin in its journal Economics Bulletin.

Volume (Year): 3 (2003)
Issue (Month): 12 ()
Pages: 1-11
Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Handle: RePEc:ebl:ecbull:v:3:y:2003:i:12:p:1-11

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Related research
Keywords: adjustment process; cooperation formation; Nash equilibrium; potential maximization; refinement;

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Find related papers by JEL classification:
C7 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:

  1. Slikker, Marco & Dutta, Bhaskar & van den Nouweland, Anne & Tijs, Stef, 2000. "Potential maximizers and network formation," Mathematical Social Sciences, Elsevier, vol. 39(1), pages 55-70, January. [Downloadable!] (restricted)
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  2. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January. [Downloadable!] (restricted)
  3. Qin, Cheng-Zhong, 1996. "Endogenous Formation of Cooperation Structures," Journal of Economic Theory, Elsevier, vol. 69(1), pages 218-226, April. [Downloadable!] (restricted)
  4. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May. [Downloadable!] (restricted)
  5. Guillaume Haeringer, 2000. "On the Stability of Cooperation Structures," UFAE and IAE Working Papers 472.00, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC). [Downloadable!]
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Rod Garratt & Cheng-Zhong Qin, 2003. "On cooperation structures resulting from simultaneous proposals," Economics Bulletin, Economics Bulletin, vol. 3(5), pages 1-9. [Downloadable!]
  2. Rod Garratt & Cheng-Zhong Qin & James E. Parco & Amnon Rapoport, 2004. "Potential Maximization and Coalition Government Formation," Working Papers 2004.82, Fondazione Eni Enrico Mattei. [Downloadable!]
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