A Maximum Principle for Control Problems with Monotonicity Constraints

Publication Type  Preprints
Author  Martin Hellwig
Year of Publication  2008
Issue  2008/04
Abstract  The paper develops a version of Pontryagin's maximum principle for optimal control problems with monotonicity constraints on control variables. Whereas the literature handles such constraints by imposing an assumption of piecewise smoothness on the control variable and treating the slope of this variable as a new control variable subject to a nonnegativity constraint, the paper obtains the maximum principle without such an additional assumption. The result is useful for studying incentive problems with hidden characteristics when the type set is a continuum and preferences satisfy a single-crossing constraint.
Publisher  Max Planck Institute for Research on Collective Goods
Place Published  Bonn
Export  Tagged BibTex XML
Download  
Supplementary Material  
Keywords  Maximum Principle, Optimal Control, Monotonicity Constraints, Incentive Problems with Hidden Characteristics
JEL-Code  C61