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

Author

Listed:
  • Denis Phan

    (GEMASS - Groupe d'Etude des Méthodes de l'Analyse Sociologique de la Sorbonne - FMSH - Fondation Maison des sciences de l'homme - SU - Sorbonne Université - CNRS - Centre National de la Recherche Scientifique, CREM - Centre de recherche en économie et management - UNICAEN - Université de Caen Normandie - NU - Normandie Université - UR - Université de Rennes - CNRS - Centre National de la Recherche Scientifique)

  • 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)

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.

Suggested Citation

  • Denis Phan & Viktoriya Semeshenko, 2008. "Equilibria in Models of Binary Choice with Heterogeneous Agents and Social Influence," Post-Print halshs-04004532, HAL.
  • Handle: RePEc:hal:journl:halshs-04004532
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    Keywords

    Binary Choice; Complex Systems; Heterogeneous Interacting Agents; Neighbourhood Effects; Social Influence.;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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