An extended formulation of Arrow's theorem for k-social welfare functions |
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| Authors: | Wataru Naitou Takahiro Watanabe |
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| Institution: | (1) Department of Social Engineering, Tokyo Institute of Technology, 2-12-1 Okayama, Meguro-Ku, 152 Tokyo, Japan |
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| Abstract: | Past studies in social choice theory are generally based on the assumption that any two alternatives must be incompatible. We are concerned with the concept,  k-social choice based on the assumption that just k alternatives out of p (1 kp–1) are compatible. The purpose of this paper is to show an extended formulation of Arrow's theorem for k-social welfare functions. |
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