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Convexity in economics and Non-convexity economics. Linear and nonlinear programming have profoundly affected microeconomics, which had earlier considered only equality constraints.
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Optimality properties for an entire market system may be stated in mathematical terms, as in formulation of the two fundamental theorems of welfare economics  and in the Arrow—Debreu model of general equilibrium also discussed below. Continuing von Neumann’s work in cooperative game theorygame theorists Lloyd S.
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