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The dynamics of social interaction with agents’ heterogeneity

Author

Listed:
  • Emilio Barucci

    (Department of Mathematics, Politecnico di Milano)

  • Marco Tolotti

    (Department of Applied Mathematics, University of Venice)

Abstract

We analyze a class of binary dynamic models inspired by [4] on agents’ choices and social interaction. The main feature of our analysis is that agents are heterogeneous, in particular their attitude to interact with the choices of the other agents changes over time endogenously. Although dynamic approaches to the study of models with heterogeneous agents have been already applied in different fields, to our knowledge a complete study of an endogenously varying population of agents has not yet been pursued. As observed in [3], the main problem is given by the fact that with heterogeneous agents the system may be non reversible. We address these problems, we describe the (possible multiple) steady states of the processes involved, we analyze local and global stability and we discuss the similarities and the differences with respect to the literature. Applications are also provided.

Suggested Citation

  • Emilio Barucci & Marco Tolotti, 2009. "The dynamics of social interaction with agents’ heterogeneity," Working Papers 189, Department of Applied Mathematics, Università Ca' Foscari Venezia.
    • Handle: RePEc:vnm:wpaper:189
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    References listed on IDEAS

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    Cited by:

    1. Emilio Barucci & Marco Tolotti, 2012. "Identity, reputation and social interaction with an application to sequential voting," Journal of Economic Interaction and Coordination, Springer;Society for Economic Science with Heterogeneous Interacting Agents, vol. 7(1), pages 79-98, May.

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    More about this item

    Keywords

    heterogeneous agent models; intensity-based models; mean field interactions; random utilities; social interactions.;
    All these keywords.

    JEL classification:

    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium

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