A Game-theoretical Model of the Landscape Theory

Michel Le Breton, Alexander Shapoval and Shlomo Weber
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Michel Le Breton: TSE-R - Toulouse School of Economics - UT Capitole - Université Toulouse Capitole - UT - Université de Toulouse - EHESS - École des hautes études en sciences sociales - CNRS - Centre National de la Recherche Scientifique - INRAE - Institut National de Recherche pour l’Agriculture, l’Alimentation et l’Environnement

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Abstract: In this paper we examine a game-theoretical generalization of the landscape theory introduced by Axelrod and Bennett (1993). In their two-bloc setting each player ranks the blocs on the basis of the sum of her individual evaluations of members of the group. We extend the Axelrod–Bennett setting by allowing an arbitrary number of blocs and expanding the set of possible deviations to include multi-country gradual deviations. We show that a Pareto optimal landscape equilibrium which is immune to profitable gradual deviations always exists. We also indicate that while a landscape equilibrium is a stronger concept than Nash equilibrium in pure strategies, it is weaker than strong Nash equilibrium.

Keywords: Landscape theory; Landscape equilibrium; Blocs; Gradual deviation; Potential functions; Hedonic games (search for similar items in EconPapers)
Date: 2021-01
New Economics Papers: this item is included in nep-gth and nep-mic
Note: View the original document on HAL open archive server: https://hal.science/hal-03156677v1
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Published in Journal of Mathematical Economics, 2021, 92, pp.41-46. ⟨10.1016/j.jmateco.2020.11.004⟩

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Related works:
Journal Article: A game-theoretical model of the landscape theory (2021)
Working Paper: A Game-Theoretical Model of the Landscape Theory (2020)
Working Paper: A Game-Theoretical Model of the Landscape Theory (2020)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:hal-03156677

DOI: 10.1016/j.jmateco.2020.11.004

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