Pareto, Anonymity, and Independence: Four Alternatives
For four alternatives and an even number of individuals, we prove a conjecture in a companion paper: It is impossible for a social choice rule to satisfy all of (1) Pareto, (2) anonymity, (3) full domain, and (4) independence of some alternative, a relaxation of ArrowÕs IIA.
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- Donald E. Campbell & Jerry S. Kelly, 2000. "Information and preference aggregation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 17(1), pages 3-24.
- Campbell, Donald E. & Kelly, Jerry S., 2002. "Impossibility theorems in the arrovian framework," Handbook of Social Choice and Welfare,in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 1, pages 35-94 Elsevier.
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