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A recursive formulation for repeated agency with history dependence

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  • Ana Fernandes
  • Christopher Phelan

Abstract

There is now an extensive literature regarding the efficient design of incentive mechanisms in dynamic environments. In this literature, there are no exogenous links across time periods because either privately observed shocks are assumed time independent or past private actions have no influence on the realizations of current variables. The absence of exogenous links across time periods ensures that preferences over continuation contracts are common knowledge, making the definition of incentive compatible contracts at a point in time a simple matter. In this paper, we present general recursive methods to handle environments where privately observed variables are linked over time. We show that incentive compatible contracts are implemented recursively with a threat keeping constraint in addition to the usual temporary incentive compatibility conditions.

Suggested Citation

  • Ana Fernandes & Christopher Phelan, 1999. "A recursive formulation for repeated agency with history dependence," Staff Report 259, Federal Reserve Bank of Minneapolis.
  • Handle: RePEc:fip:fedmsr:259
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    References listed on IDEAS

    as
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    8. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
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    Keywords

    Employment (Economic theory); Econometric models; Contracts;
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