Relational contracts, limited liability, and employment dynamics

Fong, Y. & Li, J. (2017). Relational contracts, limited liability, and employment dynamics. Journal of Economic Theory, 169, 270-293. https://doi.org/10.1016/j.jet.2017.02.006
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This paper studies a relational contracting model in which the agent is protected by a limited liability constraint. The agent's effort is his private information and affects output stochastically. We characterize the optimal relational contract and compare the dynamics of the relationship with that under the optimal long-term contract. Under the optimal relational contract, the relationship is less likely to survive, and the surviving relationship is less efficient. In addition, relationships always converge to a steady state under the optimal long-term contract, but they can cycle among different phases under the optimal relational contract.

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