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Equal-Budget Choice Equivalent Solutions in Exchange Economies

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Bochet, Olivier (METEOR)

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Abstract

Given a family of linear budget sets, an allocation is equal opportunity equivalent (Thomson, 1994) if there exists a common budget set such that each agent is indi¤erent between the bundle that he gets and the best bundle he can obtain in the choice set. We first study therobustness properties of equal opportunity equivalent correspondences with respect to change in preferences. We impose independence to irrelevant preference changes and connect this property with the implementation of rules via some game-theoretic solution concept. We provide an equivalence result with the equal-income Walrasian rule. Next, we study robustness with respect to change in the number of agents and derive a haracterization of the equal-income Walrasian rule. Our results provide additional justifications for the equal-division of resources as a first step toward fairness.

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Paper provided by Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization in its series Research Memoranda with number 025.

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Date of creation: 2006
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Handle: RePEc:dgr:umamet:2006025

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Keywords: microeconomics ;

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  1. Grigorieva,Elena & Herings,P. Jean-Jacques & Müller,Rudolf & Vermeulen,Dries, 2002. "The private value single item bisection auction," Research Memoranda 051, Maastricht : METEOR, Maastricht Research School of Economics of Technology and Organization. [Downloadable!]
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  2. Rothkopf, Michael H & Teisberg, Thomas J & Kahn, Edward P, 1990. "Why Are Vickrey Auctions Rare?," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 94-109, February. [Downloadable!] (restricted)
  3. Green, Jerry & Laffont, Jean-Jacques, 1977. "Characterization of Satisfactory Mechanisms for the Revelation of Preferences for Public Goods," Econometrica, Econometric Society, vol. 45(2), pages 427-38, March. [Downloadable!] (restricted)
  4. Ronald Harstad, 2000. "Dominant Strategy Adoption and Bidders' Experience with Pricing Rules," Experimental Economics, Springer, vol. 3(3), pages 261-280, December. [Downloadable!] (restricted)
  5. Kagel, John H & Harstad, Ronald M & Levin, Dan, 1987. "Information Impact and Allocation Rules in Auctions with Affiliated Private Values: A Laboratory Study," Econometrica, Econometric Society, vol. 55(6), pages 1275-1304, November. [Downloadable!] (restricted)
  6. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-79, July. [Downloadable!] (restricted)
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