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Choice via grouping procedures

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  • Jun Matsuki
  • Koichi Tadenuma

Abstract

In this paper, we consider a natural procedure of decision†making, the grouping choice methods, which leads to a kind of bounded rational choice. In this procedure a decision†maker 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 ) 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 ). Third, grouping choice methods are also characterized by a weak version of path independence.

Suggested Citation

  • Jun Matsuki & Koichi Tadenuma, 2018. "Choice via grouping procedures," International Journal of Economic Theory, The International Society for Economic Theory, vol. 14(1), pages 71-84, March.
    • Handle: RePEc:bla:ijethy:v:14:y:2018:i:1:p:71-84
    DOI: 10.1111/ijet.12144
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    Cited by:

    1. Juan Lleras & Yusufcan Masatlioglu & Daisuke Nakajima & Erkut Ozbay, 2021. "Path-Independent Consideration," Games, MDPI, vol. 12(1), pages 1-10, March.
    2. Özgür Kıbrıs & Yusufcan Masatlioglu & Elchin Suleymanov, 2023. "A theory of reference point formation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(1), pages 137-166, January.
    3. Nosratabadi, Hassan, 2024. "Rational Shortlist Method with refined rationales," Mathematical Social Sciences, Elsevier, vol. 127(C), pages 12-18.
    4. Bhavook Bhardwaj & Kriti Manocha, 2021. "Choice by Rejection," Papers 2108.07424, arXiv.org.

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