Mechanisms for division problems with single-dipped preferences

Doudou Gong, Bas Dietzenbacher and Hans Peters
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Doudou Gong: RS: GSBE other - not theme-related research, Quantitative Economics

No 7, Research Memorandum from Maastricht University, Graduate School of Business and Economics (GSBE)

Abstract: A mechanism allocates one unit of an infinitely divisible commodity among agents reporting a number between zero and one. Nash, Pareto optimal Nash, and strong equilibria are analyzed for the case where the agents have single-dipped preferences. One of the main results is that when the mechanism is anonymous, monotonic, standard, and order preserving, then the Pareto optimal Nash and strong equilibria coincide and assign Pareto optimal allocations that are characterized by so-called maximal coalitions: members of a maximal coalition prefer an equal coalition share over obtaining zero, whereas the outside agents prefer zero over obtaining an equal share from joining the coalition.

JEL-codes: C72 D71 (search for similar items in EconPapers)
Date: 2022-07-18
New Economics Papers: this item is included in nep-des, nep-gth and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:unm:umagsb:2022007

DOI: 10.26481/umagsb.2022007

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