Transitivity vs. Intransitivity in decision making process. (An example in quantum game theory)

TL;DR

This paper compares classical and quantum models of a simple decision game, exploring how quantum approaches may better capture the dual nature of transitive and intransitive preferences relevant to AI and social choice.

Contribution

It introduces a quantum framework for analyzing a sequential decision game, highlighting potential advantages over classical models in representing preference dualism.

Findings

Quantum models better capture dual transitive-intransitive preferences.

Classical models may be insufficient for complex decision dynamics.

Electoral interpretation offers insights into decision processes.

Abstract

We compare two different ways of quantization a simple sequential game Cat's Dilemma in the context of the debate on intransitive and transitive preferences. This kind of analysis can have essential meaning for the research on the artificial intelligence (some possibilities are discussed). Nature has both properties transitive and intransitive and maybe quantum models can be more able to capture this dualism than classical one. We also present electoral interpretation of the game.