dorsal/arxiv
View SchemaCat's Dilemma - transitivity vs. intransitivity
| Authors | Edward W. Piotrowski, Marcin Makowski |
|---|---|
| Categories | |
| ArXiv ID | physics/0408022 |
| URL | https://arxiv.org/abs/physics/0408022 |
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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"abstract": "We study a simple example of a sequential game illustrating problems\nconnected with making rational decisions that are universal for social\nsciences. The set of chooser\u0027s optimal decisions that manifest his preferences\nin case of a constant strategy of the adversary (the offering player), is\ninvestigated. It turns out that the order imposed by the player\u0027s rational\npreferences can be intransitive. The presented quantitative results imply a\nrevision of the \"common sense\" opinions stating that preferences showing\nintransitivity are paradoxical and undesired.",
"arxiv_id": "physics/0408022",
"authors": [
"Edward W. Piotrowski",
"Marcin Makowski"
],
"categories": [
"physics.soc-ph",
"physics.data-an"
],
"title": "Cat\u0027s Dilemma - transitivity vs. intransitivity",
"url": "https://arxiv.org/abs/physics/0408022"
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