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On a Simple Equilibrium with Heterogeneous Quasi-Hyperbolic Discounting Agents

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  • Jean-Pierre Drugeon
  • Bertrand Wigniolle

Abstract

This article considers the long-run equilibrium distribution of an economy populated by heterogenous and present biased quasi-hyperbolic discounting agents. In a first configuration with logarithmic utility functions and Cobb-Douglas production technologies, this article establishes the existence and the uniqueness of the equilibrium : only one agent, determined by the highest value of a coefficient building from both the degree of present bias and the rate of discount, will have a positive long-run consumption and a positive long-run wealth. A second configuration with constant elasticities of substitution utilities and linear production technologies is then considered. This article similarly establishes the existence and the uniqueness of the equilibrium. There generically is a unique agent with the highest growth rate for his consumption and his wealth. This agent is determined by both preferences and technology parameters and may change following a technological shock.

Suggested Citation

  • Jean-Pierre Drugeon & Bertrand Wigniolle, 2019. "On a Simple Equilibrium with Heterogeneous Quasi-Hyperbolic Discounting Agents," Revue d'économie politique, Dalloz, vol. 129(5), pages 715-740.
    • Handle: RePEc:cai:repdal:redp_295_0715
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    Cited by:

    1. Borissov, Kirill & Pakhnin, Mikhail & Wendner, Ronald, 2024. "Cooperating with yourself," Games and Economic Behavior, Elsevier, vol. 148(C), pages 398-414.

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