Every Choice Function is Pro-Con Rationalizable

25 Pages Posted: 13 Dec 2017 Last revised: 11 Jan 2021

See all articles by Serhat Dogan

Serhat Dogan

Bilkent University - Department of Economics

Kemal Yildiz

Bilkent University - Department of Economics

Date Written: April 24, 2018

Abstract

We present a new choice model. An agent is endowed with two sets of orderings: pro-orderings and con-orderings. For each choice set, if an alternative is the top-ranked by a pro-ordering (con-ordering), then this is a pro (con) for choosing that alternative. The alternative with more pros than cons is chosen from each choice set. Each ordering may have a weight reflecting its salience. In this case, each alternative is chosen with a probability proportional to the total weight of its pros and cons. We show that every nuance of the rich human choice behavior can be captured via this structured model. Our technique requires an extension of Ford-Fulkerson Theorem, which maybe independent interest. As an application of our results, we show that every choice rule is plurality-rationalizable

Keywords: Choice function, random choice, collective-decision making, reason-based analysis

JEL Classification: D01

Suggested Citation

Dogan, Serhat and Yildiz, Kemal, Every Choice Function is Pro-Con Rationalizable (April 24, 2018). Available at SSRN: https://ssrn.com/abstract=3085542 or http://dx.doi.org/10.2139/ssrn.3085542

Serhat Dogan

Bilkent University - Department of Economics ( email )

06533 Ankara
Turkey

Kemal Yildiz (Contact Author)

Bilkent University - Department of Economics ( email )

Bilkent University, Dept. of Economics
BILKENT
Ankara, 06800
Turkey

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