Manipulation Games in Economics with Indivisible Goods
AbstractIn 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 first 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.
Download InfoIf you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
Bibliographic InfoPaper provided by Barcelona Graduate School of Economics in its series Working Papers with number 371.
Date of creation: Jan 2009
Date of revision:
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.:
- Alkan, Ahmet & Demange, Gabrielle & Gale, David, 1991. "Fair Allocation of Indivisible Goods and Criteria of Justice," Econometrica, Econometric Society, 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.
- 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.
- Helmuts Azacis, 2004. "Double Implementation in a Market for Indivisible Goods with a Price Constraint," UFAE and IAE Working Papers, Unitat de Fonaments de l'AnÃ lisi EconÃ²mica (UAB) and Institut d'AnÃ lisi EconÃ²mica (CSIC) 623.04, Unitat de Fonaments de l'AnÃ lisi EconÃ²mica (UAB) and Institut d'AnÃ lisi EconÃ²mica (CSIC).
- Bevia, Carmen & Quinzii, Martine & Silva, Jose A., 1999.
"Buying several indivisible goods,"
Mathematical Social Sciences, Elsevier,
Elsevier, vol. 37(1), pages 1-23, January.
- Martine Quinzii & Carmen Bevia & JosÅ A. Silva, 2003. "Buying Several Indivisible Goods," Working Papers 9720, University of California, Davis, Department of Economics.
- Carmen Bevia & Martine Quinzii & JosÅ½ A. Silva, . "Buying Several Indivisible Goods," Department of Economics, California Davis - Department of Economics 97-20, California Davis - Department of Economics.
- Carmen BeviÃ¡ Baeza & JosÃ© Angel Silva Reus, 1997. "Buying several indivisible goods," Working Papers. Serie AD, Instituto Valenciano de Investigaciones EconÃ³micas, S.A. (Ivie) 1997-27, Instituto Valenciano de Investigaciones EconÃ³micas, S.A. (Ivie).
- Svensson, Lars-Gunnar, 1987. "Erratum [Large Indivisibles: An Analysis with Respect to Price Equilibrium and Fairness]," Econometrica, Econometric Society, Econometric Society, vol. 55(2), pages 489, March.
- 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.
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.