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      • Department of Economics
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      Every choice function is pro-con rationalizable

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      Author(s)
      Doğan, Serhat
      Yıldız, Kemal
      Date
      2022-06-22
      Source Title
      Operations Research
      Print ISSN
      0030-364X
      Electronic ISSN
      1526-5463
      Publisher
      Institute for Operations Research and the Management Sciences (INFORMS)
      Pages
      1 - 14
      Language
      English
      Type
      Article
      Item Usage Stats
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      Abstract
      We consider an agent who is endowed with two sets of orderings: pro- 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, the probability that an alternative is chosen equals the difference between the total weights 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 a generalization of the Ford-Fulkerson theorem, which may be of independent interest. As an application of our results, we show that every choice rule is plurality-rationalizable.
      Keywords
      Choice function
      Random choice
      Attraction effect
      Additivity
      Integer programming
      Permalink
      http://hdl.handle.net/11693/111711
      Published Version (Please cite this version)
      https://doi.org/10.1287/opre.2022.2312
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      • Department of Economics 724
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