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Some remarks on the Walras equilibrium problem in Lebesgue spaces

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Abstract

We introduce a parametric variational inequality in order to model the time dependent Walras economic equilibrium and discuss its relation with an integral formulation in the spaces (L ∞, L 1). The role of monotonicity is analysed and, as a classical example, we study the Walras problem using the Cobb–Douglas functions in this new functional setting.

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  1. Dipartimento di Matematica e Informatica, Università di Catania, Viale A. Doria 6, 95125, Catania, Italy

    A. Causa & F. Raciti

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  1. A. Causa
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  2. F. Raciti
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Correspondence to F. Raciti.

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Causa, A., Raciti, F. Some remarks on the Walras equilibrium problem in Lebesgue spaces. Optim Lett 5, 99–112 (2011). https://doi.org/10.1007/s11590-010-0193-y

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