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Choice via Grouping Procedures

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  • Matsuki, Jun
  • Tadenuma, Koichi

Abstract

In this paper, we consider a natural procedure of decision-making, called a “Grouping Choice Method”, which leads to a kind of bounded rational choices. In this procedure a decision-maker (DM) first divides the set of available alternatives into some groups and in each group she chooses the best element (winner) for her preference relation. Then, among the winners in the first round, she selects the best one as her final choice. We characterize Grouping Choice Methods in three different ways. First, we show that a choice function is a Grouping Choice Method if and only if it is a Rational Shortlist Method (Manzini and Mariotti, 2007) in which the first rationale is transitive. Second, Grouping Choice Methods are axiomatically characterized by means of a new axiom called Elimination, in addition to two well-known axioms, Expansion and Weak WARP (Manzini and Mariotti, 2007). Third, Grouping Choice Methods are also characterized by a weak version of Path Independence.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/25887/1/070econDP13-08.pdf
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Bibliographic Info

Paper provided by Graduate School of Economics, Hitotsubashi University in its series Discussion Papers with number 2013-08.

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Length: 30 p.
Date of creation: Sep 2013
Date of revision:
Handle: RePEc:hit:econdp:2013-08

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Keywords: grouping of alternatives; preference; bounded rationality;

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  1. Houy, Nicolas & Tadenuma, Koichi, 2009. "Lexicographic compositions of multiple criteria for decision making," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1770-1782, July.
  2. Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer, vol. 24(3), pages 455-473, 06.
  3. Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March.
  4. Rohan Dutta & Sean Horan, 2013. "Inferring Rationales from Choice : Identification for Rational Shortlist Methods," Cahiers de recherche 09-2013, Centre interuniversitaire de recherche en économie quantitative, CIREQ.
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