Double implementation in a market for indivisible goods with a price constraint
I 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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References listed on IDEAS
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- 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.
- 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.
- Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
- Brams, S.J. & Kilgour, D.M., 1999.
"Competitive Fair Division,"
99-05, C.V. Starr Center for Applied Economics, New York University.
- 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.
- Gabrielle Demange & Gale David & Marilda Sotomayor, 1986.
- 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.
- Atila Abdulkadiroğlu & Tayfun Sönmez & M. Utku Ünver, 2004.
"Room assignment-rent division: A market approach,"
Social Choice and Welfare,
Springer, vol. 22(3), pages 515-538, 06.
- 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.
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