Cat's Dilemma - transitivity vs. intransitivity

Edward W. Piotrowski; Marcin Makowski

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Cat's Dilemma - transitivity vs. intransitivity

Edward W. Piotrowski·Marcin Makowski

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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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Edward W. Piotrowski, Marcin Makowski. 2005-01-31. Cat's Dilemma - transitivity vs. intransitivity. https://arxiv.org/abs/physics/0408022

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