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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1016/0024-3795(91)90214-h

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ISSN

1573-2878

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Infinite Dimensional Duality Theory Applied to Inv

Authors: Laura Scrimali
Publish Date: 2012/02/11
Volume: 154, Issue: 1, Pages: 258-277
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Abstract

In this paper we develop an infinite dimensional Lagrangian duality framework for modeling and analyzing the evolutionary pollution control problem Specifically we examine the situation in which different countries aim at determining the optimal investment allocation in environmental projects and the tolerable pollutant emissions so as to maximize their welfare We state the equilibrium conditions underlying the model and provide an equivalent formulation in terms of an evolutionary variational inequality Moreover by means of infinite dimensional duality tools we prove the existence of Lagrange multipliers that play a fundamental role in order to describe countries’ decisionmaking processes

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