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Digitale Medien

Properties of consistent voting systems (1981)

Kim, K. H. ; Roush, F. W.

Springer

International journal of game theory 10 (1981), S. 45-52

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ISSN: 1432-1270

Quelle: Springer Online Journal Archives 1860-2000

Thema: Mathematik , Wirtschaftswissenschaften

Notizen: Abstract We consider exactly and strongly consistent voting functions where the alternative set is the set of real numbers and each person's preference ordering is determined by a utility function ¦x−x*¦ wherex * is his most preferred alternative. We prove that a voting function which is continuous, anonymous, weakly Pareto, and strongly and exactly consistent must coincide with a class of generalized medians studied byMoulin [1978]. Thus, such a function is actually strategyproof. The continuity assumption can be weakened a little, but we give an example of a noncontinuous function which is strongly and exactly consistent, anonymous, and weakly Pareto, but is not strategyproof.

Materialart: Digitale Medien

URL: http://dx.doi.org/10.1007/BF01770070

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Digitale Medien

Additive endomorphisms of rings (1981)

Kim, Ki Hang ; Roush, F. W.

Springer

Periodica mathematica Hungarica 12 (1981), S. 241-242

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ISSN: 1588-2829

Schlagwort(e): Primary 16A44, 16A72 ; Endomorphism ; generator ; ring endomorphism