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.
|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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- Tadenuma Koichi & Thomson William, 1995. "Games of Fair Division," Games and Economic Behavior, Elsevier, vol. 9(2), pages 191-204, May.
- Flip Klijn, 2000. "An algorithm for envy-free allocations in an economy with indivisible objects and money," Social Choice and Welfare, The Society for Social Choice and Welfare, vol. 17(2), pages 201-215.
- Demange, Gabrielle & Gale, David & Sotomayor, Marilda, 1986.
Journal of Political Economy,
University of Chicago Press, vol. 94(4), pages 863-72, August.
- 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,
The Society for Social Choice and Welfare, 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.
- 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.
- 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.
- 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.
- 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.
- 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.
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