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The first fundamental theorem of welfare in a general equilibrium evolutionary setting

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  • Ahmad Naimzada
  • Marina Pireddu

Abstract

In the present note we prove the first fundamental theorem of welfare economics, according to which all equilibrium allocations are Pareto optimal, for the standard pure exchange model with shares. In this context the social interaction among agents enters the definition of equilibrium only through the market clearing conditions, but it does not affect the agents’ maximization problem. We show that the first fundamental theorem of welfare holds true also when introducing stationary equilibria in relation to a share updating mechanism.

Suggested Citation

  • Ahmad Naimzada & Marina Pireddu, 2019. "The first fundamental theorem of welfare in a general equilibrium evolutionary setting," Working Papers 415, University of Milano-Bicocca, Department of Economics, revised 06 Jun 2019.
  • Handle: RePEc:mib:wpaper:415
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    File URL: http://repec.dems.unimib.it/repec/pdf/mibwpaper415.pdf
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    References listed on IDEAS

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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.
    2. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
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    1. Ahmad Naimzada & Marina Pireddu, 2020. "A general equilibrium evolutionary model with two groups of agents, generating fashion cycle dynamics," Decisions in Economics and Finance, Springer;Associazione per la Matematica, vol. 43(1), pages 155-185, June.

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    Keywords

    general equilibrium; stationary equilibria; Pareto optimality.;
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