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An evolutive discrete exchange economy model with heterogeneous preferences

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  • Naimzada, Ahmad
  • Pireddu, Marina

Abstract

We propose an exchange economy evolutionary model with discrete time, in which there are two groups of agents characterized by different structures of preferences. The share updating mechanism depends in a monotone manner on the goods’ consumption, described in terms of the calorie intakes. In such framework we investigate the existence of equilibria, their stability and the occurrence of multistability phenomena via a qualitative bifurcation analysis, which also highlights the presence of transcritical bifurcations.

Suggested Citation

  • Naimzada, Ahmad & Pireddu, Marina, 2018. "An evolutive discrete exchange economy model with heterogeneous preferences," Chaos, Solitons & Fractals, Elsevier, vol. 111(C), pages 35-43.
    • Handle: RePEc:eee:chsofr:v:111:y:2018:i:c:p:35-43
    DOI: 10.1016/j.chaos.2018.03.041
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    References listed on IDEAS

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    1. Hommes, Cars H., 1991. "Adaptive learning and roads to chaos : The case of the cobweb," Economics Letters, Elsevier, vol. 36(2), pages 127-132, June.
    2. Ponthiere, Gregory, 2011. "Existence and stability of overconsumption equilibria," Economic Modelling, Elsevier, vol. 28(1), pages 74-90.
    3. Naimzada, Ahmad & Pireddu, Marina, 2016. "Endogenous evolution of heterogeneous consumers preferences: Multistability and coexistence between groups," Economics Letters, Elsevier, vol. 142(C), pages 22-26.
    4. Hommes, Cars H., 1994. "Dynamics of the cobweb model with adaptive expectations and nonlinear supply and demand," Journal of Economic Behavior & Organization, Elsevier, vol. 24(3), pages 315-335, August.
    5. Ahmad Naimzada & Marina Pireddu, 2018. "Complex Dynamics in an Evolutionary General Equilibrium Model," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-13, January.
    6. Chang, Jannet & Stauber, Ronald, 2009. "Evolution of preferences in an exchange economy," Economics Letters, Elsevier, vol. 103(3), pages 131-134, June.
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    1. Ahmad Naimzada & Marina Pireddu, 2019. "A general equilibrium evolutionary model with generic utility functions and generic bell-shaped attractiveness maps, generating fashion cycle dynamics," Working Papers 401, University of Milano-Bicocca, Department of Economics, revised Mar 2019.

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