Subjective expected utility on orthomodular lattices

Marcus Pivato ()
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Marcus Pivato: CES - Centre d'économie de la Sorbonne - UP1 - Université Paris 1 Panthéon-Sorbonne - CNRS - Centre National de la Recherche Scientifique, UP1 - Université Paris 1 Panthéon-Sorbonne

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Abstract: In recent work, the author has developed a general category-theoretic framework for decision theory. This paper applies this to the category of orthomodular lattices. Every Boolean algebra is an orthomodular lattice, so this yields a new ("syntactic") model of decision-making with classical uncertainty. The lattice of closed subspaces of a Hilbert space is also an orthomodular lattice, so this also yields a new model of decision-making with quantum uncertainty.

Keywords: syntactic decision theory; Boolean algebra; quantum uncertainty (search for similar items in EconPapers)
Date: 2025-12-11
New Economics Papers: this item is included in nep-inv, nep-mic and nep-upt
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Published in Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2025, 383 (2310), pp.20240534. ⟨10.2139/ssrn.5048137⟩

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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:hal-05398789

DOI: 10.2139/ssrn.5048137

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