Local Interactions andp-Best Response Set
Author(s) -
Jaçques Durieu,
Philippe Solal
Publication year - 2014
Publication title -
journal of applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.307
H-Index - 43
eISSN - 1687-0042
pISSN - 1110-757X
DOI - 10.1155/2014/415686
Subject(s) - set (abstract data type) , matching (statistics) , inertia , best response , process (computing) , mathematics , finite set , computer science , mathematical optimization , statistics , nash equilibrium , physics , mathematical analysis , classical mechanics , programming language , operating system
International audienceWe study a local interaction model where agents play a finite n-person game following a perturbed best-response process with inertia. We consider the concept of minimal p-best response set to analyze distributions of actions in the long run. We distinguish between two assumptions made by agents about the matching rule. We show that only actions contained in the minimal p-best response set can be selected provided p is sufficiently small. We demonstrate that these predictions are sensitive to the assumptions about the matching rule
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