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Global dynamics in adaptive models of collective choice with social influence

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Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences

Summary

In this chapter we present a unified approach for modelling the diffusion of alternative choices within a population of individuals in the presence of social externalities, starting from two particular discrete-time dynamic models – Galam’s model of rumors spreading [10] and a formalization of Schelling’s binary choices [7]. We describe some peculiar properties of discrete-time (or event-driven) dynamic processes and we show how some long-run (asymptotic) outcomes emerging from repeated short time decisions can be seen as emerging properties, sometimes unexpected, or difficult to be forecasted.

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Author information

Authors and Affiliations

  1. DEMQ (Dipartimento di Economia e Metodi Quantitativi), Università di Urbino “Carlo Bo”, via Saffi n. 42, I-61029, Urbino, Italy

    Gian-Italo Bischi

  2. Statistics and Applied Mathematics Department, Università di Torino, Corso Unione Sovietica 218/bis, I-10134, Torino, Italy

    Ugo Merlone

Authors
  1. Gian-Italo Bischi
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  2. Ugo Merlone
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Corresponding author

Correspondence to Gian-Italo Bischi .

Editor information

Editors and Affiliations

  1. Dipartimento di Matematica, Università di Milano, Via Saldini 50, Milano, 20133, Italy

    Giovanni Naldi

  2. Dipartimento di Matematica, Università di Ferrara, Via Machiavelli, 35, Ferrara, 44100, Italy

    Lorenzo Pareschi

  3. Dipartimento di Matematica, Università di Pavia, Via Ferrata, 1, Pavia, 27100, Italy

    Giuseppe Toscani

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Bischi, GI., Merlone, U. (2010). Global dynamics in adaptive models of collective choice with social influence. In: Naldi, G., Pareschi, L., Toscani, G. (eds) Mathematical Modeling of Collective Behavior in Socio-Economic and Life Sciences. Modeling and Simulation in Science, Engineering and Technology. Birkhäuser Boston. https://doi.org/10.1007/978-0-8176-4946-3_9

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