Consistency and Unanimity in the House Allocation Problems I: Collective Initial Endowments
This paper studies allocation correspondences in the house allocation problems with collective initial endowments. We examine the implications of two axioms, namely "consistency" and "unanimity." Consistency requires the allocation correspondence be invariant under reductions of population. Unanimity requires the allocation correspondence respect unanimity, that is, it assigns to every agent the object that ranks best for him whenever possible. We prove that if an allocation correspondence satisfies these two axioms, then it is a subcorrespondence of the Pareto correspondence. Further, we give a characterization of the Pareto correspondence using a version of "converse consistency."
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- Shapley, Lloyd & Scarf, Herbert, 1974. "On cores and indivisibility," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 23-37, March.
- EHLERS, Lars & KLAUS, Bettina, 2005.
"Consistent House Allocation,"
Cahiers de recherche
2005-08, Universite de Montreal, Departement de sciences economiques.
- Ehlers Lars & Klaus Bettina, 2005. "Consistent House Allocation," Research Memorandum 007, Maastricht University, Maastricht Research School of Economics of Technology and Organization (METEOR).
- EHLERS, Lars & KLAUS, Bettina, 2005. "Consistent House Allocation," Cahiers de recherche 08-2005, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Peleg, B. & Tijs, S., 1993.
"The Consistency Principle for Games in Strategic Form,"
9306, Tilburg - Center for Economic Research.
- Peleg, Bezalel & Tijs, Stef, 1996. "The Consistency Principle for Games in Strategic Forms," International Journal of Game Theory, Springer, vol. 25(1), pages 13-34.
- Peleg, B. & Tijs, S.H., 1996. "The consistency principle for games in strategic form," Other publications TiSEM fc27db2d-b84c-44ba-95a1-0, Tilburg University, School of Economics and Management.
- Peleg, B. & Tijs, S.H., 1993. "The consistency principle for games in strategic form," Discussion Paper 1993-6, Tilburg University, Center for Economic Research.
- repec:ner:tilbur:urn:nbn:nl:ui:12-72911 is not listed on IDEAS
- Ergin, Haluk I., 2000. "Consistency in house allocation problems," Journal of Mathematical Economics, Elsevier, vol. 34(1), pages 77-97, August.
- William Thomson, 2011.
"Consistency and its converse: an introduction,"
Review of Economic Design,
Springer, vol. 15(4), pages 257-291, December.
- Peleg, B. & Potters, J.A.M. & Tijs, S.H., 1996.
"Minimality of consistent solutions for strategic games, in particular for potential games,"
Other publications TiSEM
159e2ef3-4411-4900-9bf1-b, Tilburg University, School of Economics and Management.
- Peleg, Bezalel & Potters, Jos A M & Tijs, Stef H, 1996. "Minimality of Consistent Solutions for Strategic Games, in Particular for Potential Games," Economic Theory, Springer, vol. 7(1), pages 81-93, January.
- Roth, Alvin E. & Postlewaite, Andrew, 1977. "Weak versus strong domination in a market with indivisible goods," Journal of Mathematical Economics, Elsevier, vol. 4(2), pages 131-137, August.
- repec:ner:tilbur:urn:nbn:nl:ui:12-72912 is not listed on IDEAS
- Thomson, W., 1996. "Consistent Allocation Rules," RCER Working Papers 418, University of Rochester - Center for Economic Research (RCER).
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