Pahl, L. orcid.org/0000-0002-0268-371X (2023) Polytope-form games and index/degree theories for extensive-form games. Games and Economic Behavior, 141. pp. 444-471. ISSN 0899-8256
Abstract
We develop index and degree theories for extensive form games allowing the identification of equilibria that are robust to payoff perturbations directly from the extensive form. Our approach is based on index and degree theories for games where the strategy sets are polytopes (and not necessarily simplices) and payoff functions are multiaffine. Polytope strategy sets arise naturally from topologically identifying equivalent mixed strategies of a normal form game.
Metadata
Item Type: | Article |
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Authors/Creators: | |
Copyright, Publisher and Additional Information: | © 2023 Elsevier Inc. This is an author produced version of a paper subsequently published in Games and Economic Behavior. Uploaded in accordance with the publisher's self-archiving policy. Article available under the terms of the CC-BY-NC-ND licence (https://creativecommons.org/licenses/by-nc-nd/4.0/). |
Keywords: | Game theory; Index theory; Structure of equilibria; Algebraic topology; Refinements of Nash equilibria |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Social Sciences (Sheffield) > Department of Economics (Sheffield) |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 01 Oct 2024 11:31 |
Last Modified: | 01 Oct 2024 11:31 |
Status: | Published |
Publisher: | Elsevier BV |
Refereed: | Yes |
Identification Number: | 10.1016/j.geb.2023.07.001 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:217791 |
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