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Cat's Dilemma

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  • Edward W. Piotrowski
  • Marcin Makowski

Abstract

We study a simple example of a sequential game illustrating problems connected with making rational decisions that are universal for social sciences. The set of chooser's optimal decisions that manifest his preferences in case of a constant strategy of the adversary (the offering player), is investigated. It turns out that the order imposed by the player's rational preferences can be intransitive. The presented quantitative results imply a revision of the "common sense" opinions stating that preferences showing intransitivity are paradoxical and undesired.

Suggested Citation

  • Edward W. Piotrowski & Marcin Makowski, "undated". "Cat's Dilemma," Departmental Working Papers 20, University of Bialtystok, Department of Theoretical Physics.
    • Handle: RePEc:sla:eakjkl:20
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    File URL: http://alpha.uwb.edu.pl/ep/RePEc/sla/eakjkl/20.pdf
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    Cited by:

    1. Szczypińska, Anna & Piotrowski, Edward W., 2008. "Projective market model approach to AHP decision making," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(15), pages 3982-3986.
    2. Theodore Turocy, 2007. "On the sufficiency of transitive preferences," Economics Bulletin, AccessEcon, vol. 4(22), pages 1-9.
    3. Pahikkala, Tapio & Waegeman, Willem & Tsivtsivadze, Evgeni & Salakoski, Tapio & De Baets, Bernard, 2010. "Learning intransitive reciprocal relations with kernel methods," European Journal of Operational Research, Elsevier, vol. 206(3), pages 676-685, November.

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