TY - JOUR

T1 - Dynamic Programming Solution of Incentive Constrained Problems

AU - Rustichini, Aldo

PY - 1998/2

Y1 - 1998/2

N2 - Several problems in economic theory can be formulated as a dynamic programming problem, plus an additionalincentive compatibilityconstraint. This constraint requires the continuation value along the chosen sequence, at any point in time, to be larger than some prescribed function of the state, the control, or perhaps both. This constraint changes the nature of the problem in a substantial way: for instance, even if the problem is discounted, standard arguments based on contraction principles do not apply. In this paper we show how to reduce this class of problems to a simple variation of standard dynamic programming techniques. In particular the value function for the problem is shown to be the fixed point of an appropriately defined operator.Journal of Economic LiteratureClassification Numbers: C61, C72, C73, D92.

AB - Several problems in economic theory can be formulated as a dynamic programming problem, plus an additionalincentive compatibilityconstraint. This constraint requires the continuation value along the chosen sequence, at any point in time, to be larger than some prescribed function of the state, the control, or perhaps both. This constraint changes the nature of the problem in a substantial way: for instance, even if the problem is discounted, standard arguments based on contraction principles do not apply. In this paper we show how to reduce this class of problems to a simple variation of standard dynamic programming techniques. In particular the value function for the problem is shown to be the fixed point of an appropriately defined operator.Journal of Economic LiteratureClassification Numbers: C61, C72, C73, D92.

UR - http://www.scopus.com/inward/record.url?scp=0001262085&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0001262085&partnerID=8YFLogxK

U2 - 10.1006/jeth.1997.2371

DO - 10.1006/jeth.1997.2371

M3 - Article

AN - SCOPUS:0001262085

SN - 0022-0531

VL - 78

SP - 329

EP - 354

JO - Journal of Economic Theory

JF - Journal of Economic Theory

IS - 2

ER -