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Fair divisions as attracting Nash equilibria of simple games

  • Galbiati, Marco

We give a mechanism fully implementing envy-free divisions such that: strategy spaces are symmetric, the set of Nash equilibria is a global attractor for the best-reply dynamics. As a byproduct, undesired mixed-strategy equilibria are weeded out by the adjustment process.

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Article provided by Elsevier in its journal Economics Letters.

Volume (Year): 100 (2008)
Issue (Month): 1 (July)
Pages: 72-75

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Handle: RePEc:eee:ecolet:v:100:y:2008:i:1:p:72-75
Contact details of provider: Web page: http://www.elsevier.com/locate/ecolet

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  1. Antonio Cabrales & Giovanni Ponti, 2000. "Implementation, Elimination of Weakly Dominated Strategies and Evolutionary Dynamics," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 3(2), pages 247-282, April.
  2. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1999. "Characterizing Natural Implementability: The Fair and Walrasian Correspondences," Games and Economic Behavior, Elsevier, vol. 28(2), pages 271-293, August.
  3. Kim, Y.G. & Sobel, J., 1993. "An Evolutionary Approach to Pre-Play Communication," Working Papers 93-02, University of Iowa, Department of Economics.
  4. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288 Elsevier.
  5. Bhaskar Dutta & Arunava Sen & Rajiv Vohra, 1994. "Nash implementation through elementary mechanisms in economic environments," Review of Economic Design, Springer, vol. 1(1), pages 173-203, December.
  6. Marco Galbiati, 2006. "Fair Divisions as Attracting Nash Equilibria of Simple Games," Economics Working Papers ECO2006/24, European University Institute.
  7. Cabrales, Antonio, 1999. "Adaptive Dynamics and the Implementation Problem with Complete Information," Journal of Economic Theory, Elsevier, vol. 86(2), pages 159-184, June.
  8. Saijo, Tatsuyoshi & Tatamitani, Yoshikatsu & Yamato, Takehiko, 1996. "Toward Natural Implementation," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 37(4), pages 949-80, November.
  9. repec:cup:cbooks:9780521556446 is not listed on IDEAS
  10. Postlewaite, Andrew & Wettstein, David, 1989. "Feasible and Continuous Implementation," Review of Economic Studies, Wiley Blackwell, vol. 56(4), pages 603-11, October.
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