title: Quantum-mechanical machinery for rational decision-making in classical guessing game.
abstract: In quantum game theory, one of the most intriguing and important questions is, "Is it possible to get quantum advantages without any modification of the classical game?" The answer to this question so far has largely been negative. So far, it has usually been thought that a change of the classical game setting appears to be unavoidable for getting the quantum advantages. However, we give an affirmative answer here, focusing on the decision-making process (we call 'reasoning') to generate the best strategy, which may occur internally, e.g., in the player's brain. To show this, we consider a classical guessing game. We then define a one-player reasoning problem in the context of the decision-making theory, where the machinery processes are designed to simulate classical and quantum reasoning. In such settings, we present a scenario where a rational player is able to make better use of his/her weak preferences due to quantum reasoning, without any altering or resetting of the classically defined game. We also argue in further analysis that the quantum reasoning may make the player fail, and even make the situation worse, due to any inappropriate preferences.
authors.affiliation: Center for Photon Information Processing, and School of Information and Communications, Gwangju Institute of Science and Technology, Gwangju, Republic of Korea.|Department of Physics, Hanyang University, Seoul 133-791, Korea.|Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland.
authors.forename: Jeongho
authors.initials: J
authors.lastname: Bang
authors.affiliation: Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland.
authors.forename: Junghee
authors.initials: J
authors.lastname: Ryu
authors.affiliation: Institute of Theoretical Physics and Astrophysics, University of Gdańsk, 80-952 Gdańsk, Poland.
authors.forename: Marcin
authors.initials: M
authors.lastname: Pawłowski
authors.affiliation: Center for Photon Information Processing, and School of Information and Communications, Gwangju Institute of Science and Technology, Gwangju, Republic of Korea.
authors.forename: Byoung S
authors.initials: BS
authors.lastname: Ham
authors.affiliation: Department of Physics, Hanyang University, Seoul 133-791, Korea.
authors.forename: Jinhyoung
authors.initials: J
authors.lastname: Lee
mesh_terms: D001921:Brain / Q000502:physiology; D003657:Decision Making; D005716:Game Theory; D006801:Humans; D011789:Quantum Theory