Non-cooperative solutions for estate division problems
In 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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- Cramton, Peter & Gibbons, Robert & Klemperer, Paul, 1987.
"Dissolving a Partnership Efficiently,"
Econometric Society, vol. 55(3), pages 615-32, May.
- 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.
- Peter Cramton & Robert Gibbons & Paul Klemperer, 1985. "Dissolving a Partnership Efficiently," Working papers 406, Massachusetts Institute of Technology (MIT), Department of Economics.
- 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.
- Nir Dagan & Roberto Serrano & Oscar Volij, 1997.
"A Noncooperative View of Consistent Bankruptcy Rules,"
Economic theory and game theory
005, Nir Dagan.
- 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.
- 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.
- repec:ner:tilbur:urn:nbn:nl:ui:12-381957 is not listed on IDEAS
- José Alcalde & María Marco & José Silva, 2008. "The minimal overlap rule revisited," Social Choice and Welfare, Springer, vol. 31(1), pages 109-128, June.
- Pálvölgyi Dénes & Peters Hans & Vermeulen Dries, 2010. "A strategic approach to estate division problems with non-homogenous preferences," Research Memorandum 036, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- 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.
- 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.
- 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.
- 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.
- Berliant, Marcus, 1985. "An equilibrium existence result for an economy with land," Journal of Mathematical Economics, Elsevier, vol. 14(1), pages 53-56, February.
- Legut, J. & Potters, J.A.M. & Tijs, S.H., 1994. "Economies with land : A game theoretical approach," Other publications TiSEM 37ff121d-d79c-4e41-a06a-9, School of Economics and Management.
- Luis Corchón & Carmen Herrero, 2004.
"A decent proposal,"
Spanish Economic Review,
Springer, vol. 6(2), pages 107-125, 07.
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