Paper #337

Títol:

Recursive contracts

Autors:

Albert Marcet i Ramon Marimon

Data:

Setembre 1994 (Revisió: Octubre 1998)

Resum:

We obtain a recursive formulation for a general class of contracting problems involving incentive constraints. Under these constraints, the corresponding maximization (sup) problems fails to have a recursive solution. Our approach consists of studying the Lagrangian. We show that, under standard assumptions, the solution to the Lagrangian is characterized by a recursive saddle point (infsup) functional equation, analogous to Bellman's equation. Our approach applies to a large class of contractual problems. As examples, we study the optimal policy in a model with intertemporal participation constraints (which arise in models of default) and intertemporal competitive constraints (which arise in Ramsey equilibria).

Paraules clau:

Time inconsistency, recursive formulation, dynamic programming, Ramsey equilibrium, participation constraint, recursive saddle points

Codis JEL:

C61, C63

Àrea de Recerca:

Macroeconomia i Economia Internacional

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