Walrasian Equilibrium Problem with Memory Term |
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Authors: | Maria Bernadette Donato Monica Milasi Laura Scrimali |
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Affiliation: | 1.University of Messina,Messina,Italy;2.University of Catania,Catania,Italy |
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Abstract: | The aim of this paper is to study the Walrasian equilibrium problem when the data are time-dependent. In order to have a more realistic model, the excess demand function depends on the current price and on previous events of the market. Hence, a memory term is introduced; it describes the precedent states of the equilibrium. This model is reformulated as an evolutionary variational inequality in the Lebesgue space L 2([0,T],ℝ), and, thanks to this characterization, existence and qualitative results on equilibrium solution are given. |
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