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

Elena del Mercato and Vincenzo Platino

Documents de travail du Centre d'Economie de la Sorbonne from Université Panthéon-Sorbonne (Paris 1), Centre d'Economie de la Sorbonne

Abstract: 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 equilibrium notion blends Arrow-Debreu with Nash, that is, agents (households and firms) maximize their goals by taking as given both commodity prices and choices of every other agent in the economy. We provide an example showing that under standard assumptions, such economies may have infinitely many equilibria. We present our model with firms' endowments following Geanakoplos, Magill, Quinzii and Drèze (1990). Firms' endowments consist of amounts of commodities held by the firms to generate receipts from sales of initially-held stocks of commodities and claims from debts, subsidies and taxes expressible in terms of them. We prove that almost all economies are regular in the space of endowments of households and firms

Keywords: Externalities; private ownership economies; competitive equilibrium à la Nash; regular economies (search for similar items in EconPapers)
JEL-codes: C62 D51 D62 (search for similar items in EconPapers)
Pages: 32 pages
Date: 2015-12
New Economics Papers: this item is included in nep-com and nep-mic
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (4)

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ftp://mse.univ-paris1.fr/pub/mse/CES2015/15044.pdf (application/pdf)

Related works:
Journal Article: On the regularity of smooth production economies with externalities: competitive equilibrium à la Nash (2017) Downloads
Working Paper: On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash (2017) Downloads
Working Paper: On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash (2017) Downloads
Working Paper: On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash (2017) Downloads
Working Paper: On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash (2016) Downloads
Working Paper: On the regularity of smooth production economies with externalities: Competitive equilibrium à la Nash (2016) Downloads
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