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Local Interactions andp-Best Response Set

Local interactions and \(p\)-best response set
Authors: Durieu, Jacques; Solal, Philippe;

Local Interactions andp-Best Response Set

Abstract

We study a local interaction model where agents play a finiten-person game following a perturbed best-response process with inertia. We consider the concept of minimalp-best response set to analyze distributions of actions on the long run. We distinguish between two assumptions made by agents about the matching rule. We show that only actions contained in the minimalp-best response set can be selected provided thatpis sufficiently small. We demonstrate that these predictions are sensitive to the assumptions about the matching rule.

Country
France
Keywords

game theory, model, 330, Evolutionary games, model,game theory,modèle,théorie des jeux, \(n\)-person games, \(n>2\), théorie des jeux, [SHS.ECO]Humanities and Social Sciences/Economics and Finance, modèle, QA1-939, [SHS.ECO] Humanities and Social Sciences/Economics and Finance, Mathematics

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    These citations are derived from selected sources.
    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    2
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    Average
    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
    Average
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
2
Average
Average
Average
Green
gold