How to cut a pizza fairly: fair division with descreasing marginal evaluations
Abstract
Existential and constructive solutions to the classic problems of fair division are known for individuals with constant marginal evaluations. By considering nonatomic concave capacities instead of nonatomic probability measures, we extend some of these results to the case of individuals with decreasing marginal evaluations.Download Info
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Paper provided by ICER - International Centre for Economic Research in its series ICER Working Papers - Applied Mathematics Series with number 23-2002.Length: 13 pages
Date of creation: May 2002
Date of revision:
Handle: RePEc:icr:wpmath:23-2002
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Related research
Keywords:Other versions of this item:
- Fabio Maccheroni & Fabio Maccheroni & Massimo Marinacci & Massimo Marinacci, 2003. "How to cut a pizza fairly: Fair division with decreasing marginal evaluations," Social Choice and Welfare, Springer, vol. 20(3), pages 457-465, 06.
References
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Citations
Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.Cited by:
- Marco Dall'Aglio & Fabio Maccheroni, 2007.
"Disputed Lands,"
Carlo Alberto Notebooks
58, Collegio Carlo Alberto.
- Dall'Aglio, Marco & Maccheroni, Fabio, 2009. "Disputed lands," Games and Economic Behavior, Elsevier, vol. 66(1), pages 57-77, May.
- Thibault Gajdos & Eric Maurin, 2004.
"Unequal Uncertainties and Uncertain Inequalities: An Axiomatic Approach,"
Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers)
halshs-00085940, HAL.
- Gajdos, Thibault & Maurin, Eric, 2004. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," Journal of Economic Theory, Elsevier, vol. 116(1), pages 93-118, May.
- Thibault Gadjos & Eric Maurin, 2002. "Unequal Uncertainties and Uncertain Inequalities : An Axiomatic Approach," Working Papers 2002-32, Centre de Recherche en Economie et Statistique.
- Thibault Gajdos & Eric Maurin, 2002. "Unequal uncertainties and uncertain inequalities: an axiomatic approach," ICER Working Papers - Applied Mathematics Series 15-2003, ICER - International Centre for Economic Research, revised Mar 2003.
- Marco LiCalzi & Antonio Nicolò, 2005.
"Efficient Egalitarian Equivalent Allocations over a Single Good,"
Microeconomics
0510014, EconWPA.
- Marco LiCalzi & Antonio Nicolò, 2009. "Efficient egalitarian equivalent allocations over a single good," Economic Theory, Springer, vol. 40(1), pages 27-45, July.
- Marco LiCalzi & Antonio Nicolo, 2007. "Efficient Egalitarian Equivalent Allocations over a Single Good," Working Papers 152, Department of Applied Mathematics, Università Ca' Foscari Venezia.
- Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002.
"Decision Making with Imprecise Probabilistic Information,"
ICER Working Papers - Applied Mathematics Series
18-2003, ICER - International Centre for Economic Research, revised May 2003.
- Gajdos, Thibault & Tallon, Jean-Marc & Vergnaud, Jean-Christophe, 2004. "Decision making with imprecise probabilistic information," Journal of Mathematical Economics, Elsevier, vol. 40(6), pages 647-681, September.
- Thibault Gadjos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2002. "Decision Making with Imprecise Probabilistic Information," Working Papers 2002-33, Centre de Recherche en Economie et Statistique.
- Thibault Gajdos & Jean-Marc Tallon & Jean-Christophe Vergnaud, 2004. "Decision Making with Imprecise Probabilistic Information," Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) halshs-00086021, HAL.
- Erio Castagnoli & Fabio Maccheroni & Massimo Marinacci, 2002.
"Insurance Premia Consistent with the Market,"
ICER Working Papers - Applied Mathematics Series
24-2002, ICER - International Centre for Economic Research.
- Castagnoli, Erio & Maccheroni, Fabio & Marinacci, Massimo, 2002. "Insurance premia consistent with the market," Insurance: Mathematics and Economics, Elsevier, vol. 31(2), pages 267-284, October.
- Renault, Jérôme & Scarlatti, Sergio & Scarsini, Marco, 2005.
"A folk theorem for minority games,"
Open Access publications from Université Paris-Dauphine
urn:hdl:123456789/6223, Université Paris-Dauphine.
- Renault, Jerome & Scarlatti, Sergio & Scarsini, Marco, 2005. "A folk theorem for minority games," Games and Economic Behavior, Elsevier, vol. 53(2), pages 208-230, November.
- Jerome Renault & Sergio Scarlatti & Marco Scarsini, 2003. "A folk theorem for minority games," ICER Working Papers - Applied Mathematics Series 10-2003, ICER - International Centre for Economic Research.
- Salvatore Modica & Marco Scarsini, 2003. "The convexity-cone approach to comparative risk and downside risk," ICER Working Papers - Applied Mathematics Series 01-2003, ICER - International Centre for Economic Research.
- Nobusumi Sagara & Milan Vlach, 2011. "A new class of convex games on σ-algebras and the optimal partitioning of measurable spaces," International Journal of Game Theory, Springer, vol. 40(3), pages 617-630, August.
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