2010Unpublished venueRequires access

A General Equilibrium in Economies with Friction and its Relation to Walrasian Equilibria

Alexis Akira Toda

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Abstract

Statistical equilibrium is a general equilibrium concept which maximizes entropy subject to the available information, and is maximally noncommittal with regard to missing information. Although conceptually distinct from Walrasian equilibrium, I show that 1) statistical equilibrium is \ecient in a certain sense, 2) it exists under weak conditions, and that 3) Walrasian equilibrium is mathematically a special case of statistical equilibrium. Statistical equilibrium can be applied to analyze economies with not necessarily well-organized markets, such as the labor and the real estate markets.

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Statistical equilibrium is a general equilibrium concept which maximizes entropy subject to the available information, and is maximally noncommittal with regard to missing information. Although conceptually distinct from Walrasian equilibrium, I show that 1) statistical equilibrium is \ecient in a certain sense, 2) it exists under weak conditions, and that 3) Walrasian equilibrium is mathematically a special case of statistical equilibrium. Statistical equilibrium can be applied to analyze economies with not necessarily well-organized markets, such as the labor and the real estate markets.

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Available abstract

Statistical equilibrium is a general equilibrium concept which maximizes entropy subject to the available information, and is maximally noncommittal with regard to missing information. Although conceptually distinct from Walrasian equilibrium, I show that 1) statistical equilibrium is \ecient in a certain sense, 2) it exists under weak conditions, and that 3) Walrasian equilibrium is mathematically a special case of statistical equilibrium. Statistical equilibrium can be applied to analyze economies with not necessarily well-organized markets, such as the labor and the real estate markets.

Key concepts: General equilibrium theory, Mathematical economics, Economics, Entropy (arrow of time), Economic equilibrium, Microeconomics, Thermodynamics, Physics

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