Probabilistic allocation rules and single-dipped preferences
AbstractWe consider the problem of allocating an infinitely divisible endowment among a group of agents with single-dipped preferences. A probabilistic allocation rule assigns a probability distribution over the set of possible allocations to every preference profile. We discuss characterizations of the classes of Pareto-optimal and strategy-proof probabilistic rules which satisfy in addition replacement-domination or no-envy. Interestingly, these results also apply to problems of allocating finitely many identical indivisible objects - to probabilistic and to deterministic allocation.
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Bibliographic InfoArticle provided by Springer in its journal Social Choice and Welfare.
Volume (Year): 19 (2002)
Issue (Month): 2 ()
Note: Received: 23 November 1998/Accepted: 20 October 2000
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- EHLERS, Lars & KLAUS, Bettina, 2001.
"Probabilistic Assignments of Identical Indivisible Objects and Uniform Probabilistic Rules,"
Cahiers de recherche
2001-27, Universite de Montreal, Departement de sciences economiques.
- Lars Ehlers & Bettina Klaus, 2003. "Probabilistic assignments of identical indivisible objects and uniform probabilistic rules," Review of Economic Design, Springer, vol. 8(3), pages 249-268, October.
- Ehlers, L. & Klaus, B., 2001. "Probabilistic Assignements of Identical Indivisible Objects and Uniform Probabilistic Rules," Cahiers de recherche 2001-27, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- Thomson, William, 2011. "Chapter Twenty-One - Fair Allocation Rules," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 2, chapter 21, pages 393-506 Elsevier.
- Toyotaka Sakai, 2012. "Fair waste pricing: an axiomatic analysis to the NIMBY problem," Economic Theory, Springer, vol. 50(2), pages 499-521, June.
- Murat Öztürk & Hans Peters & Ton Storcken, 2014. "On the location of public bads: strategy-proofness under two-dimensional single-dipped preferences," Economic Theory, Springer, vol. 56(1), pages 83-108, May.
- Walter Bossert & Hans Peters, 2013.
Cahiers de recherche
04-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
- BOSSERT, Walter & PETERS, Hans, 2013. "Single-basined choice," Cahiers de recherche 2013-03, Universite de Montreal, Departement de sciences economiques.
- Bossert W. & Peters H.J.M., 2013. "Single-basined choice," Research Memorandum 030, Maastricht University, Graduate School of Business and Economics (GSBE).
- Ahmed Doghmi, 2013. "Nash Implementation in an Allocation Problem with Single-Dipped Preferences," Games, MDPI, Open Access Journal, vol. 4(1), pages 38-49, January.
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