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.
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Received: 12 June 2001/Accepted: 23 May 2002
An earlier version of this paper, Caltech Social Science Working Paper # 1126, was titled “How to cut a cake healthily”. We wish to thank Maristella Botticini, Erio Castagnoli, Marco Dall'Aglio, Paolo Ghirardato, Luigi Montrucchio, Marco Scarsini, Marciano Siniscalchi, as well as Maurice Salles (the Editor), an Associate Editor, and four anonymous Referees for helpful suggestions. The financial support of MIUR, CNR, and Università Bocconi is gratefully acknowledged. Part of this research was done while the first author was visiting Boston University and the California Institute of Technology, which he thanks for their hospitality.
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Maccheroni, F., Maccheroni, F., Marinacci, M. et al. How to cut a pizza fairly: Fair division with decreasing marginal evaluations. Soc Choice Welfare 20, 457–465 (2003). https://doi.org/10.1007/s003550200192
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DOI: https://doi.org/10.1007/s003550200192