Abstract
Mathematical economics has a long history and covers many interdisciplinary areas between mathematics and economics. At its center lies the theory of market equilibrium. The purpose of this expository article is to introduce mathematicians to price decentralization in general equilibrium theory. In particular, it concentrates on the role of positivity in the theory of convex economic analysis and the role of normal cones in the theory of non-convex economies.
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Aliprantis, C., Cornet, B. & Tourky, R. Economic Equilibrium: Optimality and Price Decentralization. Positivity 6, 205–241 (2002). https://doi.org/10.1023/A:1020240410066
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DOI: https://doi.org/10.1023/A:1020240410066