管理科学与工程系学术讲座系列2020年第8讲

主 题：Robust Contract Designs: Linear Contracts and Moral Hazard

主讲人: Dr. Xiangyin Kong (University of Science and Technology of China)

时 间：2020-12-16 12:10

地 点：明商1008会议室

语 言：英文

Abstract：

We consider incentive compensation where the firm has ambiguity on the effort-contingent output distribution: the parameters of the output probability distribution are in an ellipsoidal uncertainty set. The firm evaluates any contract by its worst-case performance over all possible parameters in the uncertainty set. Similarly, the incentive compatible condition for the agent must hold for all possible parameters in the uncertainty set. The firm is financially risk neutral and the agent has limited liability. We find that when the agent is financially risk neutral, the optimal robust contract is a linear contract--paying the agent a base payment and a fixed share of the output. Moreover, the linear contract is the only type of contracts that are robust to the parameter uncertainty. When there is model uncertainty over a general effort-contingent output distribution, we show that a generalized linear contract is uniquely optimal. When the agent is risk-averse and has a piecewise linear utility, the only optimal contract is a piecewise linear contract that consists of progressive fixed payments and linear rewards with progressive commission rates. We also provide the analysis for the trade-off between robustness and worst-case performance and show that our results are robust to a variety of settings, including cases with general l^p-norm uncertainty sets, multiple effort levels, etc. Our paper provides a new explanation for the popularity of linear contracts and piecewise linear contracts in practice and introduces a flexible modeling approach for robust contract designs with model uncertainty.

Short biography:

Xiangyin Kong is an assistant professor in the International Institute of Finance at School of Management, University of Science and Technology of China. He received his Ph.D. degree in Management Science from City University of Hong Kong and Xi’an Jiaotong University. His research interests include contract theory, supply chain management and the interface of operations and marketing. His research has appeared in Operations Research, Operations Research Letters.