Compromise for the Per Capita Complaint: An Optimization Characterization of Two Equalitarian Values
Panfei Sun and
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Dongshuang Hou: Department of Applied Mathematics, Northwestern Polytechnical University
Panfei Sun: Department of Applied Mathematics, Northwestern Polytechnical University
Theo Driessen: Department of Applied Mathematics, University of Twente, The Netherlands
No 2018-13, GREDEG Working Papers from Groupe de REcherche en Droit, Economie, Gestion (GREDEG CNRS), University of Nice Sophia Antipolis
The main purpose of this article is to introduce two new values for transferable utility (TU) games: the upper and lower optimal complaint values. These are based on two kinds of per capita complaint criteria and each involve a lower and upper bound of the core. In the spirit of the nucleolus, these two values are obtained by lexicographically minimizing a maximal complaint vector associated with each of the per capita complaint criterion. Interestingly, the upper and lower optimal complaint values respectively coincide with the Equal Allocation of Non-Separable Contributions and the Center-of-Gravity of Imputation Set Value for a large class of TU-games. Moreover, a characterization of these two values is achieved by invoking the equal upper and lower maximal per capita complaint properties together with efficiency.
Keywords: Cooperative game; optimal complaint values; equalitarian values; equal maximal per capita complaint properties (search for similar items in EconPapers)
JEL-codes: C71 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-gth and nep-upt
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Persistent link: https://EconPapers.repec.org/RePEc:gre:wpaper:2018-13
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