Reduced game and converse consistency |
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Authors: | Chih Chang Cheng-Cheng Hu |
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Institution: | aDepartment of Mathematics, National Tsing Hua University, Hsinchu, Taiwan;bCenter for General Education, Southern Taiwan University of Technology, No. 1, Nantai Street, Yung-Kang City, 71005 Tainan County, Taiwan |
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Abstract: | The initiating points of the current paper are the axiomatic characterizations, in terms of consistency, of the equal allocation of nonseparable cost value (by Moulin), the Shapley value (by Hart and Mas-Colell), and the prenucleolus (by Orshan). The basic axioms are the same, but three different reduced games can be used to distinguish these three solutions. The main purpose of the paper is to illustrate that besides the definitions of reduced games are different, the axiom converse consistency also plays an important role to distinguish these three solutions. |
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Keywords: | Shapley value Prenucleolus EANSC value Reduced game Consistency Bilateral consistency Converse consistency |
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