Fair divisions as attracting Nash equilibria of simple games
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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- Marco Galbiati, 2006.
"Fair Divisions as Attracting Nash Equilibria of Simple Games,"
Economics Working Papers
ECO2006/24, European University Institute.
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- Antonio Cabrales & Giovanni Ponti, 1997. "Implementation, elimination of weakly dominated strategies and evolutionary dynamics," Economics Working Papers 221, Department of Economics and Business, Universitat Pompeu Fabra.
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- 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.
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- 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.
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