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Choice via Grouping Procedures

Author

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  • Matsuki, Jun
  • Tadenuma, Koichi
  • 蓼沼, 宏一

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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Suggested Citation

  • Matsuki, Jun & Tadenuma, Koichi & 蓼沼, 宏一, 2013. "Choice via Grouping Procedures," CCES Discussion Paper Series 52, Center for Research on Contemporary Economic Systems, Graduate School of Economics, Hitotsubashi University.
    • Handle: RePEc:hit:ccesdp:52
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    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/25886/070ccesDP_52.pdf
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    References listed on IDEAS

    as
    1. Maurice Salles, 2016. "Social choice," Chapters, in: Gilbert Faccarello & Heinz D. Kurz (ed.), Handbook on the History of Economic Analysis Volume III, chapter 36, pages 518-537, Edward Elgar Publishing.
    2. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.
    3. 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.
    4. Houy Nicolas, 2007. "Rationality and Order-Dependent Sequential Rationality," Theory and Decision, Springer, vol. 62(2), pages 119-134, March.
    5. Tadenuma, Koichi, 2002. "Efficiency First or Equity First? Two Principles and Rationality of Social Choice," Journal of Economic Theory, Elsevier, vol. 104(2), pages 462-472, June.
    6. Koichi Tadenuma, 2005. "Egalitarian-equivalence and the Pareto principle for social preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 24(3), pages 455-473, June.
    7. Rohan Dutta & Sean Horan, 2015. "Inferring Rationales from Choice: Identification for Rational Shortlist Methods," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 179-201, November.
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    Cited by:

    1. Horan, Sean, 2016. "A simple model of two-stage choice," Journal of Economic Theory, Elsevier, vol. 162(C), pages 372-406.

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    More about this item

    Keywords

    grouping of alternatives; preference; bounded rationality;
    All these keywords.

    JEL classification:

    • D01 - Microeconomics - - General - - - Microeconomic Behavior: Underlying Principles

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