CAT'S DILEMMA — TRANSITIVITY VS. INTRANSITIVITY

Edward W. Piotrowski · Marcin Makowski

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Decision-Making and Behavioral Economics Game Theory and Applications Experimental Behavioral Economics Studies

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.

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1951Social Choice and Individual Values.1972Elimination by aspects: A theory of choice.1969Intransitivity of preferences.1952Social Choice and Individual Values

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2018Fuzzy Rank Acceptability Analysis: A Confidence Measure of Ranking Fuzzy Numbers 2007On the Sufficiency of Transitive Preferences

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