Infinite Dimensional Duality Theory Applied to Investment Strategies in Environmental Policy

Laura Scrimali ()
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Laura Scrimali: Università di Catania

Journal of Optimization Theory and Applications, 2012, vol. 154, issue 1, No 16, 258-277

Abstract: 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’ decision-making processes.

Keywords: Evolutionary variational inequality; Infinite dimensional duality theory; Kyoto Protocol (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s10957-012-9995-7

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