Non-cooperative solutions for estate division problems
AbstractIn an estate division problem an estate has to be divided among several players whose total entitlement to the estate exceeds its size. This paper extends the non-cooperative approach through a claim game, as initiated by O'Neill (1982), by allowing players to put multiple claims on the same part of the estate, and by considering the case where individual entitlements may exceed the estate. A full characterization of the set of Nash equilibria of the claim game is obtained both for restricted estate division problems, where individual entitlements do not exceed the estate, and for the general case. Variations on the claim game are considered, which result in proportional division in equilibrium.
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Bibliographic InfoArticle provided by Elsevier in its journal Games and Economic Behavior.
Volume (Year): 73 (2011)
Issue (Month): 1 (September)
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Web page: http://www.elsevier.com/locate/inca/622836
Bankruptcy problem Estate division problem Non-cooperative claim game;
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- Peter Cramton & Robert Gibbons & Paul Klemperer, 1987.
"Dissolving a Partnership Efficiently,"
Papers of Peter Cramton
87econ, University of Maryland, Department of Economics - Peter Cramton, revised 09 Jun 1998.
- Berliant, Marcus & Raa, Thijs ten, 1988.
"A foundation of location theory: Consumer preferences and demand,"
Journal of Economic Theory,
Elsevier, vol. 44(2), pages 336-353, April.
- Raa, M.H. ten & Berliant, M., 1988. "A foundation of location theory: Consumer preferences and demand," Open Access publications from Tilburg University urn:nbn:nl:ui:12-381957, Tilburg University.
- Aumann, Robert J. & Maschler, Michael, 1985. "Game theoretic analysis of a bankruptcy problem from the Talmud," Journal of Economic Theory, Elsevier, vol. 36(2), pages 195-213, August.
- José Alcalde & María Marco & José Silva, 2008. "The minimal overlap rule revisited," Social Choice and Welfare, Springer, vol. 31(1), pages 109-128, June.
- Volij, Oscar & Dagan, Nir & Serrano, Roberto, 1997.
"A Non-Cooperative View of Consistent Bankruptcy Rules,"
Staff General Research Papers
5130, Iowa State University, Department of Economics.
- Dagan, Nir & Serrano, Roberto & Volij, Oscar, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Games and Economic Behavior, Elsevier, vol. 18(1), pages 55-72, January.
- Nir Dagan & Roberto Serrano & Oscar Volij, 1997. "A Noncooperative View of Consistent Bankruptcy Rules," Economic theory and game theory 005, Nir Dagan.
- Luis Corchón & Carmen Herrero Blanco, 1995.
"A Decent Proposal,"
Working Papers. Serie AD
1995-25, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Berliant, Marcus & Thomson, William & Dunz, Karl, 1992. "On the fair division of a heterogeneous commodity," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 201-216.
- Berliant, Marcus, 1985. "An equilibrium existence result for an economy with land," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 53-56, February.
- Thomson, William, 2003. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: a survey," Mathematical Social Sciences, Elsevier, vol. 45(3), pages 249-297, July.
- Ignacio García-Jurado & Julio González-Díaz & Antonio Villar, 2006. "A Non-cooperative Approach to Bankruptcy Problems," Spanish Economic Review, Springer, vol. 8(3), pages 189-197, September.
- William Thomson, 2013. "Axiomatic and game-theoretic analysis of bankruptcy and taxation problems: an update," RCER Working Papers 578, University of Rochester - Center for Economic Research (RCER).
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