A Note on Thomson's Characterizations of the Uniform Rule
AbstractThomson (Consistent solutions to the problem of fair division when preferences are single-peaked, J. Econ. Theory 63 (1994), 219-245) proved that the uniform rule of fair division problem, where preferences are single-peaked, is the unique rule which is bilaterally consistent, continuous, Pareto optimal, and envy-free, in a setting of an infinite number of potential agents. We show that the uniqueness of the uniform rule is achieved without assuming continuity, even in a setting of a finite number of potential agents. A similar result is obtained by replacing envy-freeness with individual rationality from equal division.
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Bibliographic InfoArticle provided by Elsevier in its journal Journal of Economic Theory.
Volume (Year): 69 (1996)
Issue (Month): 1 (April)
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Web page: http://www.elsevier.com/locate/inca/622869
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- Nir Dagan, 1996. "A Note on Thomson's Characterizations of the Uniform Rule," Economic theory and game theory 003, Nir Dagan.
- D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
- C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
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- Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012.
"The division problem with voluntary participation,"
Social Choice and Welfare,
Springer, vol. 38(3), pages 371-406, March.
- Gustavo Bergantiños & Jordi Massé & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," Working Papers 437, Barcelona Graduate School of Economics.
- Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2010. "The Division Problem with Voluntary Participation," UFAE and IAE Working Papers 807.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Lahiri, Somdeb, 2001.
"Axiomatic characterizations of the CEA solution for rationing problems,"
European Journal of Operational Research,
Elsevier, vol. 131(1), pages 162-170, May.
- Lahiri Somdeb, . "Axiomatic Characterizations of the CEA Solution for Rationing Problems," IIMA Working Papers WP1999-02-03, Indian Institute of Management Ahmedabad, Research and Publication Department.
- Thomson, W., 1998.
"Consistency and its Converse: an Introduction,"
RCER Working Papers
448, University of Rochester - Center for Economic Research (RCER).
- Kesten, Onur, 2006. "More on the uniform rule: Characterizations without Pareto optimality," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 192-200, March.
- Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2013.
"The Division Problem under Constraints,"
UFAE and IAE Working Papers
942.13, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
- Rebelo, S., 1997. "On the Determinant of Economic Growth," RCER Working Papers 443, University of Rochester - Center for Economic Research (RCER).
- Nir Dagan, 1995.
"Consistent Solutions in Exchange Economies: a Characterization of the Price Mechanism,"
Economic theory and game theory
011, Nir Dagan.
- Nir Dagan, 1995. "Consistent solutions in exchange economies: A characterization of the price mechanism," Economics Working Papers 141, Department of Economics and Business, Universitat Pompeu Fabra.
- Carmen Herrero Blanco & Ricardo Martínez, 2006.
"Allocation Problems With Indivisibilities When Preferences Are Single-Peaked,"
Working Papers. Serie AD
2006-14, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Carmen Herrero & Ricardo Martínez, 2011. "Allocation problems with indivisibilities when preferences are single-peaked," SERIEs, Spanish Economic Association, vol. 2(4), pages 453-467, December.
- Carmen Herrero & Ricardo Martinez, 2006. "Allocation problems with indivisibilities when preferences are single-peaked," Working Papers 06.29, Universidad Pablo de Olavide, Department of Economics.
- Toyotaka Sakai & Takuma Wakayama, 2012. "Strategy-proofness, tops-only, and the uniform rule," Theory and Decision, Springer, vol. 72(3), pages 287-301, March.
- Pablo Amorós, 2002.
"Single-peaked preferences with several commodities,"
Social Choice and Welfare,
Springer, vol. 19(1), pages 57-67.
- Pablo Amorós, 1998. "- Single-Peaked Preferences With Several Commodities," Working Papers. Serie AD 1998-23, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
- Gustavo Bergantiños & Jordi Massó & Alejandro Neme, 2012. "The division problem with maximal capacity constraints," SERIEs, Spanish Economic Association, vol. 3(1), pages 29-57, March.
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