La mort de Charles Péguy pendant la Première Guerre mondiale mit fin à son œuvre ainsi qu’à l’entreprise des Cahiers Quinzaine. Cet espace liberté intellectuelle n’a pas été le fruit du sacrifice d’un esprit étranger aux questions économiques mais résultat d’une gestion profondément attentive réalit&#...

In this paper, we consider an exchange economy à la Shitovitz (1973), with atoms and an atomless set. We associate with it a strategic market game of the kind first proposed by Lloyd S. Shapley and known as the Shapley window model. We analyze the relationship between the set of the Cournot-Nash equilibrium allocations of the strategic market game and the Walras equilibrium allocations of the e...

This paper contains the following results for ecohomies with infinite dimensional commodity spaces. (i) We establish a core-Walras equivalence theorem for economies with an atomless measure space of agents and with an ordered separable Banach commodity space whose positive cone has a non-empty norm interior. This result includes as a special case the Aumann (1964) and Schmeidler-Hildenbrand [Hi...

Walras theory is well known and widely used in models of market economy. Various iterative methods are developed to search for the equilibrium conditions. In this paper a new approach is proposed and implemented where the search for Walras equilibrium is defined as a stochastic global optimization problem. This way random nature of customer arrivals is represented and the convergence to equilib...

The Heckscher-Ohlin model with arbitrary number of goods, factors and countries (consumers) and no restrictions on factor trading is shown to be equivalent to an exchange model whose goods are the productive factors while consumer’s indirect demands for factors are derived from their actual demands for consumption goods. This equivalence enables one to import properties like the pathconnectedne...

The purpose of this paper is to give a global characterization of excess demand functions in a two period exchange economy with incomplete real asset markets. We show that continuity, homogeneity and Walras’ law characterize the aggregate excess demand functions on any compact price set which maintains the dimension of the budget set. JEL classification: D52, C62.

this paper examines critically the contributions of cournot, jevons and walras as the founders of classical mathematical economics from a methodological standpoint. advances in different economic schools and doctrines in the 19th century produced an environment of multi-dimensionality in economic analysis which was regarded by the pioneers of classical mathematical economists as a chaotic state...