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A strategic approach to bankruptcy problems based on the TAL family of rules

Bouwhuis,Dirck
; 
Borm,Peter
; 
Hendrickx,Ruud
Abstract
This paper analyzes bankruptcy problems from a strategic perspective using the parameterized TAL family of bankruptcy rules. We construct a strategic game where every player selects a parameter, and the rule from the TAL family that corresponds to the mean of the chosen parameters is used to divide the estate. We prove the existence of Nash equilibria for this strategic game. In particular, we provide the set of all Nash equilibria for two players, and for more players, we prove existence by constructing a Nash equilibrium of a particular form based on the notion of a pivotal player.
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Publisher Copyright: © The Author(s) 2024.
Date
2024-03
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Tilburg University Research Output Collection
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Keywords
Bankruptcy problems, Nash equilibrium, Strategic games, TAL family, C71 - Cooperative Games, C72 - Noncooperative Games
Citation
Bouwhuis, D, Borm, P & Hendrickx, R 2024, 'A strategic approach to bankruptcy problems based on the TAL family of rules', Annals of Operations Research. https://doi.org/10.1007/s10479-024-05906-9
URI
https://hdl.handle.net/20.500.14602/81451
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