Manipulation Games in Economics with Indivisible Goods
In this paper we study the strategic aspects of the No-Envy solution for the problem of allocating a finite set of indivisible goods among a group of agents when monetary compen-sations are possible. In the fi rst part of the paper we consider the case where each agent receives, at most, one indivisible good. We prove that the set of equilibrium allocations of any direct revelation game associated with a subsolution of the No-Envy solution coincides with the set of envy-free allocations for the true preferences. Under manipulation all the subsolutions of the No-Envy solution are equivalent. In the second part of the paper, we allow each agent to receive more than one indivisible good. In this situation the above characterization does not hold any more. We prove that any Equal Income Walrasian allocation for the true preferences can be supported as an equilibrium allocation of any direct revelation game associated with subsolutions of the No-Envy solution, but also non-efficient allocations can be supported.
|Date of creation:||Jan 2009|
|Contact details of provider:|| Postal: Ramon Trias Fargas, 25-27, 08005 Barcelona|
Phone: +34 93 542-1222
Fax: +34 93 542-1223
Web page: http://www.barcelonagse.eu
More information through EDIRC
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.:
- Svensson, Lars-Gunnar, 1987. "Erratum [Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness]," Econometrica, Econometric Society, vol. 55(2), pages 489-489, March.
- Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, vol. 59(4), pages 1023-1039, July.
- Martine Quinzii & Carmen Bevia & JosÅ A. Silva, 2003.
"Buying Several Indivisible Goods,"
9720, University of California, Davis, Department of Economics.
- Carmen Beviá Baeza & José Angel Silva Reus, 1997. "Buying several indivisible goods," Working Papers. Serie AD 1997-27, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Carmen Bevia & Martine Quinzii & JosŽ A. Silva, "undated". "Buying Several Indivisible Goods," Department of Economics 97-20, California Davis - Department of Economics.
- 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).
- 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.
- Azacis, Helmuts, 2005. "Double Implementation in a Market for Indivisible Goods with a Price Constraint," Cardiff Economics Working Papers E2005/10, Cardiff University, Cardiff Business School, Economics Section.
- Yuji Fujinaka & Toyotaka Sakai, 2007. "The Manipulability of Fair Solutions in Assignment of an Indivisible Object with Monetary Transfers," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(6), pages 993-1011, December.
- William Thomson, 2007. "Fair Allocation Rules," RCER Working Papers 539, University of Rochester - Center for Economic Research (RCER).
- Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
- Zhou, Lin, 1991. "Stable matchings and equilibrium outcomes of the Gale-Shapley's algorithm for the marriage problem," Economics Letters, Elsevier, vol. 36(1), pages 25-29, May.
When requesting a correction, please mention this item's handle: RePEc:bge:wpaper:371. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Bruno Guallar)
If references are entirely missing, you can add them using this form.