Directional monotone comparative statics in function spaces

Uttiya Paul and Tarun Sabarwal
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Uttiya Paul: Department of Economics and Mathematics, University of Kansas, Lawrence, KS 66045, USA

No 202303, WORKING PAPERS SERIES IN THEORETICAL AND APPLIED ECONOMICS from University of Kansas, Department of Economics

Abstract: We characterize x-directional monotone comparative statics in function spaces, generalizing the results in Barthel and Sabarwal (2018) for finite-dimensional Euclidean spaces, and showing that their proofs generalize to infinite-dimensional spaces. Our generalizations include those for x-directional set order, x-quasi-supermodularity, x-single crossing property, and x-basic single crossing property. Differential characterizations are generalized as well. This expands the scope of directional monotone comparative statics to infinite dimensional spaces. We include new examples beyond the scope of earlier results, such as neoclassical growth model, infinite-dimensional consumer theory, and infinite-dimensional, directional Le Chatelier principle.

Keywords: Directional monotone comparative statics; infinite dimensional; x-directional set order (search for similar items in EconPapers)
JEL-codes: C61 C70 D00 (search for similar items in EconPapers)
Pages: 25 pages
Date: 2023-01, Revised 2023-04
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Journal Article: Directional monotone comparative statics in function spaces (2023)
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