A comparative analysis of social choice functions, IV

Jeffrey T. Richelson

77 citations0/0 files storedSystems Research and Behavioral Science

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Game Theory and Voting Systems Electoral Systems and Political Participation Multi-Criteria Decision Making

Abstract

In three previous papers (Richelson 1975, 1978a, 1978b), I compared six social choice functions (the plurality, Borda, Copeland, Dodgson, Schwartz, and Black functions) with respect to 20 conditions on social choice functions. In this paper I examine three additional social choice functions (the Nanson, Young, and minimax functions) with respect to those 20 conditions. In addition, I discuss the implications of some partial results concerning the Kemeny function.

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References

1951Social Choice and Individual Values.2010Review of Economic Studies 1959The Theory of Committees and Elections.1972Collective Choice and Social Welfare 1952A Set of Independent Necessary and Sufficient Conditions for Simple Majority Decision 2014Essai sur l'application de l'analyse à la probabilité des décisions rendues à la pluralité des voix 1803Mémoire sur les élections au scrutin 2022Journal of Applied Mathematics

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