New and revised results for "Building reputation for contract renewal: implications for performance dynamics and contract duration"

In this paper we present some new results for the dynamic agent model by Iossa and Rey (2014, "Building Reputation for Contract Renewal: Implications for Performance Dynamics and Contract Duration,'' Journal of the European Economic Association, 12, 549−574) while also correcting some errors in that article. Iossa and Rey study the performance of an agent who repeatedly receives multi-period contracts and determine the optimal duration of such contracts in the context of an infinitely repeated multi-period agent model. We amend the characterization of the unique Markov perfect equilibrium for this model. In addition, we review the original welfare analysis of the model and either provide corrected proofs when possible or provide counterexamples. Our counterexamples overturn the main comparative statics results of the original analysis. We demonstrate that both the agent's optimal investment decision and the optimal contract duration depend non-monotonically on the information persistence and the agent's discount factor. In the final part of the analysis, we establish new results on the agent's optimal investment decision