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Item embargoed until 2028-09-30

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Article

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Accepted version

Publication date

2025-10-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/226604

Self-consistency for multi-valued solutions and reasonable outcomes

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https://doi.org/10.1016/j.jmateco.2025.103171

Abstract

We explore the compatibility of uniform self-consistency and ordinary self-consistency, two extensions for handling multi-valued solutions within the consistency principle introduced by Hart and Mas-Colell (1989), with basic properties, such as reasonableness, which establishes bounds for payoffs based on the marginality principle. Our analysis focuses on convex games and balanced games through the study of almost positive games, a subset of convex games that plays a crucial role in the vector lattice structure of games. Further, we provide new axiomatic foundations of the core incorporating these consistency properties.

Subject

Teoria de jocs, Lògica matemàtica

Subject (English)

Game theory, Mathematical logic

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Articles publicats en revistes (Matemàtica Econòmica, Financera i Actuarial)

Citation

CALLEJA, Pere, LLERENA GARRÉS, Francesc and SUDHÖLTER, Peter. Self-consistency for multi-valued solutions and reasonable outcomes. Journal of Mathematical Economics. 2025. Vol. 120. ISSN 0304-4068. [consulted: 8 of June of 2026]. Available at: https://hdl.handle.net/2445/226604

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