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Characterization of the Generalized Top-Choice Assumption (Smith) set

Andrikopoulos, Athanasios (2009): Characterization of the Generalized Top-Choice Assumption (Smith) set. Unpublished.

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Abstract

In this paper, I give a characterization of the Generalized Top-Choice Assumption set of a binary relation in terms of choice from minimal negative consistent superrelations. This result provides a characterization of Schwart's set in tournaments.

Item Type:MPRA Paper
Language:English
Keywords:Negative Consistency, Generalized Top-Choice Assumption (Smith) set, Generalized Optimal-Choice Axiom (Schwartz) set.
Subjects:D - Microeconomics > D7 - Analysis of Collective Decision-Making > D71 - Social Choice; Clubs; Committees; Associations
D - Microeconomics > D6 - Welfare Economics > D60 - General
ID Code:14897
Deposited By:Athanasios Andrikopoulos
Deposited On:29. Apr 2009 09:28
Last Modified:29. Apr 2009 09:28
References:

Duggan, J. (1999). A general extension theorem for binary relations, \textit{Journal of Economic Theory}, \textbf{86}, 1-16.

Duggan, J. (2007). A systematic approach to the construction of non-empty Choice sets, \textit{Social Choice and Welfare}, \textbf{28}, 491-506.

Fishburn, P., (1977). Condorcet Social Choice Functions, {\it SIAM Journal on Applied Mathematics}, Vol. {\bf 33}, No. 3, pp. 469-489.

Schwartz, T., The logic of Collective Choice, New York: Columbia University Press.

Smith, J. (1973). Aggregation of Preferences with Variable Electorate, {\it Econometrica}, Vol. {\bf 41}, No. 6, pp. 1027-1041.

Suzumura, K. (1976). Remarks on the theory of collective. \textit{Economica}, \textbf{43}, 381-390.

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