2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/86312We 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.submitted to Fluctuation and Noise LettersPhysics and SocietyData Analysis, Statistics and Probabilitytext