On the manipulability of the fuzzy social choice functions
作者： Fouad Ben Abdelaziz , José Rui Figueira , Olfa Meddeb
DOI: 10.1016/J.FSS.2007.06.015
关键词:
摘要: In many social decision-making contexts, a manipulator has incentives to change the choice in his favor by strategically misrepresenting preference. Gibbard [Manipulation of voting schemes: general result, Econometrica 41(4) (1973) 587-601] and Satterthwaite [Strategy-proofness Arrow's conditions: existence correspondence theorems for procedures welfare functions. J. Econom. Theory 10 (1975) 187-217] have shown that any non-dictatorial procedure is vulnerable strategic manipulation. This paper extends their result case fuzzy weak preference relations. For this purpose, best alternative set defined three ways consequently generalizations Gibbard-Satterthwaite theorem context are provided.
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sci-hub.se 参考文章(19)
Marc Roubens, Janos Fodor, Fuzzy Preference Modelling and Multicriteria Decision Support ,(1994)
Fang-Fang Tang, FUZZY PREFERENCES AND SOCIAL CHOICE Bulletin of Economic Research. ,vol. 46, pp. 263- 269 ,(1994) , 10.1111/J.1467-8586.1994.TB00591.X
L.A. Zadeh, Quantitative fuzzy semantics Information Sciences. ,vol. 3, pp. 159- 176 ,(1971) , 10.1016/S0020-0255(71)80004-X
C.R. Barrett, Prasanta K. Pattanaik, M. Salles, On choosing rationally when preferences are fuzzy Fuzzy Sets and Systems. ,vol. 34, pp. 197- 212 ,(1990) , 10.1016/0165-0114(90)90159-4
Kunal Sengupta, Fuzzy preference and Orlovsky choice procedure Fuzzy Sets and Systems. ,vol. 93, pp. 231- 234 ,(1998) , 10.1016/S0165-0114(96)00079-6
Kunal Sengupta, Choice rules with fuzzy preferences: Some characterizations Social Choice and Welfare. ,vol. 16, pp. 259- 272 ,(1999) , 10.1007/S003550050143
Bhaskar Dutta, Santosh C. Panda, Prasanta K. Pattanaik, Exact choice and fuzzy preferences Mathematical Social Sciences. ,vol. 11, pp. 53- 68 ,(1986) , 10.1016/0165-4896(86)90004-1
C.R. Barrett, Prasanta K. Pattanaik, Maurice Salles, On the structure of fuzzy social welfare functions Fuzzy Sets and Systems. ,vol. 19, pp. 1- 10 ,(1986) , 10.1016/S0165-0114(86)80072-0
Manabendra Dasgupta, Rajat Deb, Transitivity and fuzzy preferences Social Choice and Welfare. ,vol. 13, pp. 305- 318 ,(1996) , 10.1007/BF00179234
Allan Gibbard, Manipulation of Voting Schemes: A General Result Econometrica. ,vol. 41, pp. 587- 601 ,(1973) , 10.2307/1914083