Financial Equilibrium in a Production Economy without Rational Expectations of Prices: a basic Model of full Existence

Lionel De Boisdeffre (1, 2)

1 CES - Centre d'économie de la Sorbonne
2 CATT - Centre d'Analyse Théorique et de Traitement des données économiques

We extend our pure-exchange existence of equilibrium theorem, with differential information, private anticipations and no model to forecast prices, to a production economy of all ownership types: sole proprietorship, partnership and corporations. We show that, due to bounded rationality, all agents face a "minimum uncertainty", which typically adds to the 'exogenous uncertainty', on tomorrow's state of nature, an 'endogenous uncertainty' on future spot prices, depending on all agents' private beliefs today. At a sequential equilibrium, any achievable spot price is anticipated as possible by all agents, whose strategies are optimal, ex ante, and market clearing, ex post. We show this equilibrium exists, whenever their anticipations embed the minimum uncertainty set. This result, is stronger than classical ones of generic existence, along Radner (1979) and Hart (1975), and a step towards proving existence in a stochastic production economy without rational expectations of prices.

Keywords: Sequential equlibrium; Temporary equilibrium; Perfect foresight; Existence; Rational Expectations; Financial markets; Asymmetric information; Arbitrage

Domains: Economics and Finance

Lionel De Boisdeffre. Financial Equilibrium in a Production Economy without Rational Expectations of Prices: a basic Model of full Existence. 2017. ⟨hal-02141062⟩