On Rationalizability of Choice Functions: A Characterization of the Median

Posted: 18 Oct 1999

See all articles by Wulf Gaertner

Wulf Gaertner

Universität Osnabrück

Yongsheng Xu

Georgia State University - Andrew Young School of Policy Studies

Abstract

In this paper we characterize choice behaviour that picks the median element from a set of feasible alternatives. It is easily seen that this choice behaviour violates most of the standard consistency conditions for set contraction and set expansion. The paper offers a complete characterization in terms of pure choice function conditions, and contrasts the new axiom set with the traditional consistency conditions. It also suggests alternative external references which could explain the choice of the median.

JEL Classification: D71

Suggested Citation

Gaertner, Wulf and Xu, Yongsheng, On Rationalizability of Choice Functions: A Characterization of the Median. Available at SSRN: https://ssrn.com/abstract=179777

Wulf Gaertner (Contact Author)

Universität Osnabrück ( email )

Department of Economics
D-49069 Osnabrueck
Germany

Yongsheng Xu

Georgia State University - Andrew Young School of Policy Studies ( email )

Department of Economics
35 Broad Street, 6th Floor Department of Economics
Atlanta, GA 30303-3083
United States

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