Nonlinear Prices in Nonconvex Economies with Classical Pareto and Strong Pareto Optimal Allocations |
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Authors: | Email author" target="_blank">Boris?S?MordukhovichEmail author |
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Institution: | (1) Department of Mathematics, Wayne State University, Detroit, MI 48202, USA |
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Abstract: | The paper is devoted to applications of modern tools of variational analysis to equilibrium models of welfare economics involving
generally nonconvex economies with infinite-dimensional commodity spaces. The main results relate to the so-called generalized/extended second welfare theorem ensuring an equilibrium price support at Pareto optimal allocations. Based on advanced tools of variational analysis and
generalized differentiation, we establish refined results of this type with the novel usage of nonlinear prices at the three types to optimal allocations: weak Pareto, Pareto, and strong Pareto. We pay a special attention to strong Pareto optimal allocations in economies with ordering commodity spaces showing that enhanced results for them do not require, in contrast to the classical types of weak Pareto and Pareto optimality, any net demand qualification conditions.
Mathematics Subject Classifications (2000): 91B50, 49J52
Dedicated to the memory of Yuri Abramovich |
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Keywords: | generalized differentiation Pareto and strong Pareto optimality price equilibrium variational analysis welfare economics |
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