On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash

Article dans une revue: We consider a general equilibrium model of a private ownership economy with consumption and production externalities. The choices of all agents (households and firms) may affect utility functions and production technologies. The allocation of a competitive equilibrium is a Nash equilibrium. We provide an example showing that, under standard assumptions, competitive equilibria are indeterminate in an open set of the household’s endowments. Next, we consider a new version of this model, with firms’ endowments in the spirit of Geanakoplos et al. (J Math Econ 19:113–151, 1990). In our model, firms’ endowments impact the technologies of the other firms. We then prove that, generically in the space of endowments of households and firms, each economy has a finite number of competitive equilibria and each competitive equilibrium is locally a differentiable map of the fundamental parameters.

Auteur(s)

Elena L. del Mercato, Vincenzo Platino

Revue
  • Economic Theory
Date de publication
  • 2017
Mots-clés JEL
C62 D51 D62
Mots-clés
  • Private ownership economies
  • Competitive equilibrium à la Nash
  • Regular economies
  • Externalities
Pages
  • 287-307
Version
  • 1
Volume
  • 63