Double Implementation in a Market for Indivisible Goods with a Price Constraint
AbstractI consider the problem of assigning agents to indivisible objects, in which each agent pays a price for his object and all prices sum to a given constant. The objective is to select an assignment-price pair that is envy-free with respect to the agents' true preferences. I propose a simple mechanism whereby agents announce valuations for all objects and an envy-free allocation is selected with respect to these announced preferences. I prove that the proposed mechanism implements both in Nash and strong Nash equilibrium the set of true envy-free allocations.
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Bibliographic InfoPaper provided by Cardiff University, Cardiff Business School, Economics Section in its series Cardiff Economics Working Papers with number E2005/10.
Length: 22 pages
Date of creation: Dec 2005
Date of revision:
Publication status: Published in Games and Economic Behaviour , 62(1), pp. 140-154, January 2008.
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More information through EDIRC
Indivisible Goods; Envy-Freeness; Implementation; Strong Nash Equilibrium;
Other versions of this item:
- Azacis, Helmuts, 2008. "Double implementation in a market for indivisible goods with a price constraint," Games and Economic Behavior, Elsevier, vol. 62(1), pages 140-154, January.
- Helmuts Azacis, 2004. "Double Implementation in a Market for Indivisible Goods with a Price Constraint," UFAE and IAE Working Papers 623.04, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
- D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation
This paper has been announced in the following NEP Reports:
- NEP-ALL-2005-12-20 (All new papers)
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.:
- Claus-Jochen Haake & Matthias G. Raith & Francis Edward Su, 2002.
"Bidding for envy-freeness: A procedural approach to n-player fair-division problems,"
Social Choice and Welfare,
Springer, vol. 19(4), pages 723-749.
- Claus-Jochen Haake & Matthias G. Raith & Francis Su, 2000. "Bidding for Envy-Freeness: A Procedural Approach to n-Player Fair Division Problems," Claremont Colleges Working Papers 2000-47, Claremont Colleges.
- Atila Abdulkadiroglu & Tayfun Sonmez & M. Utku Unver, 2002.
"Room Assignment-Rent Division: A Market Approach,"
Game Theory and Information
0202003, EconWPA, revised 26 Sep 2002.
- Svensson, Lars-Gunnar, 1983. "Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness," Econometrica, Econometric Society, vol. 51(4), pages 939-54, July.
- Leonard, Herman B, 1983. "Elicitation of Honest Preferences for the Assignment of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 91(3), pages 461-79, June.
- Steven J. Brams & D. Marc Kilgour, 2001. "Competitive Fair Division," Journal of Political Economy, University of Chicago Press, vol. 109(2), pages 418-443, April.
- Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-39, July.
- Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986. "Multi-Item Auctions," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 863-72, August.
- ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010.
"Budget-Balance, Fairness and Minimal Manipulability,"
Cahiers de recherche
2010-09, Universite de Montreal, Departement de sciences economiques.
- Ehlers, Lars & Svensson, Lars-Gunnar & Andersson, Tommy, 0. "Budget-balance, fairness and minimal manipulability," Theoretical Economics, Econometric Society.
- ANDERSSON, Tommy & EHLERS, Lars & SVENSSON, Lars-Gunnar, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Cahiers de recherche 18-2010, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Andersson, Tommy & Svensson, Lars-Gunnar & Ehlers, Lars, 2010. "Budget-Balance, Fairness and Minimal Manipulability," Working Papers 2010:16, Lund University, Department of Economics, revised 15 Jan 2013.
- Carmen Bevié, 2009. "Manipulation Games in Economics with Indivisible Goods," Working Papers 371, Barcelona Graduate School of Economics.
- Velez, Rodrigo A. & Thomson, William, 2012.
"Let them cheat!,"
Games and Economic Behavior,
Elsevier, vol. 75(2), pages 948-963.
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