Optimization Implementation and Characterization of the Equal Allocation of Nonseparable Costs Value

Panfei Sun (), Dongshuang Hou (), Hao Sun () and Theo Driessen ()
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Panfei Sun: Northwestern Polytechnical University
Dongshuang Hou: Northwestern Polytechnical University
Hao Sun: Northwestern Polytechnical University
Theo Driessen: University of Twente

Journal of Optimization Theory and Applications, 2017, vol. 173, issue 1, No 16, 336-352

Abstract: Abstract This paper devotes to the study of the equal allocation of nonseparable costs value for cooperative games. On the one hand, we show that the equal allocation of nonseparable costs value is the unique optimal solution that minimizes the total complaints for individual players over the pre-imputation set. On the other hand, analogously to the way of determining the Nucleolus, we obtain the equal allocation of nonseparable costs value by applying the lexicographic order over the individual complaints. Moreover, we offer alternative characterizations of the equal allocation of nonseparable costs value by proposing several new properties such as dual nullifying player property, dual dummifying player property and grand marginal contribution monotonicity.

Keywords: Cooperative games; The equal allocation of nonseparable costs value; Optimization; Complaint; Characterization; 91A12 (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (6)

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DOI: 10.1007/s10957-017-1092-5

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