Axiomatizations and a Noncooperative Interpretation of the α-CIS Value

Genjiu Xu (), Han Dai () and Haobin Shi ()
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Genjiu Xu: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China
Han Dai: Department of Applied Mathematics, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China
Haobin Shi: School of Computer Science, Northwestern Polytechnical University, Xi'an, Shaanxi 710072, P. R. China

Asia-Pacific Journal of Operational Research (APJOR), 2015, vol. 32, issue 05, 1-15

Abstract: In economic allocation problems, egalitarianism and marginalism are two major thoughts to distribute the benefits of cooperation. The α-CIS value reconciles the two thoughts in some variable extent by a parameter α ∈ [0, 1]. The α-CIS value is the center of gravity of the corresponding α-imputation set given the α-imputation set is nonempty. From the cooperative perspective, we present several axiomatizations of the α-CIS value using α-individual rationality or α-dummifying player property. Finally, we provide a noncooperative interpretation of the α-CIS value by a bidding mechanism.

Keywords: TU game; CIS value; equal division solution; axiomatization; bidding mechanism (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (3)

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DOI: 10.1142/S0217595915500311

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