The quantum foundations of utility and value

This work presents a generalization of game theory and new perspectives on utility and value. Using quantum formalism, we prove that classical game theory is a special case of quantum game theory. We show that the von Neumann entropy and von Neumann–Morgenstern utility are equivalent and that the Ha...

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Detalles Bibliográficos
Autor principal: Abel, Cal R.
Formato: Online Artículo Texto
Lenguaje:English
Publicado: The Royal Society 2023
Materias:
Articles
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10277775/
https://www.ncbi.nlm.nih.gov/pubmed/37334459
http://dx.doi.org/10.1098/rsta.2022.0286
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author Abel, Cal R.
author_facet Abel, Cal R.
author_sort Abel, Cal R.
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description This work presents a generalization of game theory and new perspectives on utility and value. Using quantum formalism, we prove that classical game theory is a special case of quantum game theory. We show that the von Neumann entropy and von Neumann–Morgenstern utility are equivalent and that the Hamiltonian operator represents value. This article is part of the theme issue ‘Thermodynamics 2.0: Bridging the natural and social sciences (Part 1)’.
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spelling pubmed-102777752023-06-20 The quantum foundations of utility and value Abel, Cal R. Philos Trans A Math Phys Eng Sci Articles This work presents a generalization of game theory and new perspectives on utility and value. Using quantum formalism, we prove that classical game theory is a special case of quantum game theory. We show that the von Neumann entropy and von Neumann–Morgenstern utility are equivalent and that the Hamiltonian operator represents value. This article is part of the theme issue ‘Thermodynamics 2.0: Bridging the natural and social sciences (Part 1)’. The Royal Society 2023-08-07 2023-06-19 /pmc/articles/PMC10277775/ /pubmed/37334459 http://dx.doi.org/10.1098/rsta.2022.0286 Text en © 2023 The Authors. https://creativecommons.org/licenses/by/4.0/Published by the Royal Society under the terms of the Creative Commons Attribution License http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) , which permits unrestricted use, provided the original author and source are credited.
spellingShingle Articles
Abel, Cal R.
The quantum foundations of utility and value
title The quantum foundations of utility and value
title_full The quantum foundations of utility and value
title_fullStr The quantum foundations of utility and value
title_full_unstemmed The quantum foundations of utility and value
title_short The quantum foundations of utility and value
title_sort quantum foundations of utility and value
topic Articles
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC10277775/
https://www.ncbi.nlm.nih.gov/pubmed/37334459
http://dx.doi.org/10.1098/rsta.2022.0286
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