Population monotonic solutions on convex games

被引:0
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作者
Toru Hokari
机构
[1] Institute of Economic Research,
[2] Kyoto University,undefined
[3] Yoshida-Honmachi,undefined
[4] Sakyo-ku,undefined
[5] Kyoto 606-8501,undefined
[6] JAPAN (E-mail: hokari@kier.kyoto-u.ac.jp),undefined
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Key words: Population monotonicity, convex games, the Dutta-Ray solution, the Shapley value;
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摘要
The Dutta-Ray solution and the Shapley value are two well-known examples of population-monotonic solutions on the domain of convex games. We provide a new formula for the Dutta-Ray solution from which population-monotonicity immediately follows. Then we define a new family of population-monotonic solutions, which we refer to as “sequential Dutta-Ray solutions.” We also show that it is possible to construct several symmetric and population-monotonic solutions by using the solutions in this family.
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页码:327 / 338
页数:11
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