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- W4319986716 abstract "We study a class of quasi-variational inequality problems defined over infinite dimensional Banach space and deduce sufficient conditions for ensuring solutions to such problems under the upper semi-continuity and pseudomonotonicity assumptions on the map defining the inequalities. The special structure of the quasi-variational inequality enables us to show the occurrence of solutions for such inequalities based on the classical existence theorem for variational inequalities. This special type of quasi-variational inequalities is motivated by the pure exchange economic problems and Radner equilibrium problems for sequential trading game. Further, we study the solvability of the specific class of quasi-variational inequalities on Banach spaces in which the constraint map may admit unbounded values. Finally, we demonstrate the occurrence of dynamic competitive equilibrium for a time-dependent pure exchange economy as an application." @default.
- W4319986716 created "2023-02-11" @default.
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- W4319986716 date "2023-01-17" @default.
- W4319986716 modified "2023-10-16" @default.
- W4319986716 title "Existence Theorems on Quasi-variational Inequalities over Banach Spaces and its Applications to Time-dependent Pure Exchange Economy" @default.
- W4319986716 doi "https://doi.org/10.48550/arxiv.2301.06729" @default.
- W4319986716 hasPublicationYear "2023" @default.
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