Equilibria in Models of Binary Choice with Heterogeneous Agents and Social Influence

Denis Phan () and Viktoriya Semeshenko ()
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Viktoriya Semeshenko: Departamento de Economía [Buenos Aires] - Facultad de Ciencias Económicas [Buenos Aires] - UBA - Universidad de Buenos Aires [Buenos Aires], TIMC-IMAG - Techniques de l'Ingénierie Médicale et de la Complexité - Informatique, Mathématiques et Applications, Grenoble - UMR 5525 - UJF - Université Joseph Fourier - Grenoble 1 - Grenoble INP - Institut polytechnique de Grenoble - Grenoble Institute of Technology - VAS - VetAgro Sup - Institut national d'enseignement supérieur et de recherche en alimentation, santé animale, sciences agronomiques et de l'environnement - CNRS - Centre National de la Recherche Scientifique

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Abstract: In this paper we explore the impact of social influence on the equilibria in the simplest model with binary choices. We investigate the interplay between social influence and individual decision to adopt with global interactions, both analytically in the case of an infinite number and numerically in the case of a finite number of agents. We derive exactly necessary and sufficient conditions for the existence of single or multiple equilibria as a function of the strength of social influence. In particular, this model encompasses the classical downward sloping demand curve as a particular case. The paper also provides a brief introduction to avalanches and hysteresis loops, and includes extensive bibliographical references.

Keywords: Binary Choice; Complex Systems; Heterogeneous Interacting Agents; Neighbourhood Effects; Social Influence. (search for similar items in EconPapers)
Date: 2008
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Published in European Journal of Economic and Social Systems, 2008, 21 (1), pp.7-38

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Journal Article: Equilibria in Models of Binary Choice with Heterogeneous Agents and Social Influence (2008)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:journl:halshs-04004532

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