Generalized monotonicity analysis
type: Item
instance of: scholarly article
title: Generalized monotonicity analysis
zbMATH Open document ID: 1192.91151
published in: Economic Theory
publication date: 2010-05-17T00:00:00Z
review text: The authors consider a nonlinear equation \(f(x,t)=0,\) where \(x \in \mathbb R^{n}\) is a decision variable, \(t \in \mathbb R^{m}\) is a parameter, and \(f : \mathbb R^{n} \times \mathbb R^{m} \rightarrow \mathbb R^{n}\) is a smooth function and investigate monotonicity issues of the solution trajectory (path) \(x(t)\) (or some function \(\phi (x)\)) with respect to the parameter \(t\). Extending the results from the previous paper [J. Optim. Theory Appl. 137, No. 3, 641--673 (2008; Zbl 1229.90219)], they give conditions which provide existence of partial or full monotonicity paths, suggest a suitable selection method, and reveal some quantitative properties. Applications to equality constrained parametric optimization, optimal consumption, special two-player games, productivity estimation, and comparative dynamics are described.
Mathematics Subject Classification ID: 91B55
Mathematics Subject Classification ID: 91B42
Mathematics Subject Classification ID: 91B38
Mathematics Subject Classification ID: 91A05
Mathematics Subject Classification ID: 90C31
Mathematics Subject Classification ID: 47J05
zbMATH DE Number: 5708677
zbMATH Keywords: parametric equation
zbMATH Keywords: monotonicity directions
zbMATH Keywords: selected functions of variables
zbMATH Keywords: comparative statics
zbMATH Keywords: comparative dynamics
zbMATH Keywords: quantitative analysis
zbMATH Keywords: aggregation
author: Bruno Strulovici
author: Thomas A. Weber
reviewed by: Igor V. Konnov
MaRDI profile type: Publication
full work available at URL: s00199-009-0450-4
OpenAlex ID: W2138175939
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DOI: 10.1007/S00199-009-0450-4
description: scientific article; zbMATH DE number 5708677