Cat’s Dilemma – Transitivity vs. Intransitivity

Received (received date) Revised (revised date) Accepted (accepted date) 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.