Fuzzy voters, crisp votes

International Game Theory Review

Volumn 9, Issue 1, 2007, Pages 67-86

  Côrte Real, Paulo P ^a  

^a NOVA SCHOOL OF BUSINESS AND ECONOMICS   (Portugal)

Author keywords

Aggregation rule; Fuzzy preferences; Social choice; Strategy proofness

Indexed keywords

EID: 34248146450     PISSN: 02191989     EISSN: None     Source Type: Journal    
DOI: 10.1142/S021919890700128X     Document Type: Article

References (28)

1. Banerjee, A. [1993] Rational choice under fuzzy preferences: The Orlovsky choice function, Fuzzy Sets Systems 53, 295-299.
2. Barberà, S. [1977] The manipulation of social choice mechanisms that do not leave "too much" to chance, Econometrica 45, 1573-1588.
3. Barberà, S., Dutta, B. and Sen, A. [2001] Strategy-proof social choice correspondences, J. Econ. Theory 101, 374-394.
4. Barrett, C. R., Pattanaik, P. K. and Salles, M. [1990] On choosing rationally when preferences are fuzzy, Fuzzy Sets Systems 34, 197-212.
5. Barrett, C. R,., Pattanaik, P. K. and Salles, M. [1992] Rationality and aggregation of preferences in an ordinally fuzzy framework, Fuzzy Sets Systems 49, 9-14.
6. Basu, K. [1984] Fuzzy revealed preference theory, J. Econ Theory 32, 212-227.
7. Billot, A. [1991] Aggregation of preferences: The fuzzy case, Theory and Decision 30, 51-93.
8. Ching, S. and Zhou, L. [2002] Multi-valued strategy-proof social choice rules, Soc Choice Welfare 19, 569-580.
9. Cholewa, W. [1985] Aggregation of fuzzy opinions: An axiomatic approach, Fuzzy Sets Systems 17, 249-258.
10. Dasgupta, M. and Deb, R. [1991] Fuzzy choice functions, Soc Choice Welfare 8, 171-182.
11. Dasgupta, M. and Deb, R. [1996] Transitivity and fuzzy preferences, Soc Choice Welfare 13, 305-318.
12. Dubois, D. and Koning, J. L. [1991] Social choice axioms for fuzzy set aggregation, Fuzzy Sets Systems 43, 257-274.
13. Duggan, J. and Schwartz, T. [2000] Strategic manipulability without resoluteness or shared beliefs: Gibbard-Satterthwaite generalized, Soc Choice Welfare 17, 85-93.
14. Dutta, B., Panda, S. C. and Pattanaik, P. K. [1986] Exact choices and fuzzy preferences, Math Soc Sci 11, 53-68.
15. Dutta, B. [1987] Fuzzy preference and social choice, Math Soc Sciences 13, 215-229.
16. Fung, L. W. and Fu, K. S. [1975] An axiomatic approach to rational decision making in a fuzzy environment, in L. A. Zadeh et al., (eds.), Fuzzy Sets and Their Applications to Cognitive and Decision Processes, (Academic Press, New York), pp. 227-256.
17. García-Lapresta, J. L. and Llamazares, B. [2000] Aggregation of fuzzy preferences: Some rules of the mean, Soc Choice Welfare 17, 673-690.
18. Kelly, J. S. [1977] Strategy-proofness and social choice functions without singlevaluedness, Econometrica 45, 439-446.
19. May, K. O. [1952] A set of independent necessary and sufficient conditions for simple majority decision, Econometrica 20, 680-684.
20. Montero de Juan, F. J. [1985] A note on Fung-Fu's theorem, Fuzzy Sets Systems 17, 259-269.
21. Nurmi, H. [1981] Approaches to collective decision making with fuzzy preference relations, Fuzzy Sets Systems 6, 249-259.
22. Orlovsky, S. A. [1978] Decision making with a fuzzy preference relation, Fuzzy Sets Systems 1, 155-167.
23. Ovchinnikov, S. V. [1981] Structure of fuzzy binary relations, Fuzzy Sets Systems 6, 169-195.
24. Ovchinnikov, S. V. [1990] Means and social welfare function in fuzzy binary relation spaces, in Kacprzyk, J. and Fedrizzi, M. (eds.) Multiperson Decision Making Using Fuzzy Sets and Possibility Theory, (Kluwer Academic Publishers, Dordrecht), pp. 143-154..
25. Pattanaik, P. K. and Sengupta, K. [2000] On the structure of simple preference-based choice functions, Soc Choice Welfare 17, 33-45.
26. Richardson, G. [1998] The structure of fuzzy preferences: Social choice implications, Soc Choice Welfare 15, 359-369.
27. Sengupta, K. [1999] Choice rules with fuzzy preferences: Some characterizations, Soc Choice Welfare 16, 259-272.
28. Tanino, T. [1984] Fuzzy preference orderings in group decision making, Fuzzy Sets Systems 12, 117-131.