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Comment on “Optimal Contract to Induce Continued Effort”

Publication ,  Journal Article
Cao, P; Tian, F; Sun, P
Published in: Management Science
January 1, 2022

In this comment, we first use a counterexample to demonstrate that the optimal contract structure proposed in section 4 of the paper [Sun P, Tian F (2018) Optimal contract to induce continued effort. Management Sci. 64(9):4193–4217] can be wrong when the two players’ discount rates are different. We then specify correct optimal contract structures, which involve generalizing the contract space to allow random termination. Numerical study with a wide range of model parameters illustrates that such a random termination only occurs sparingly in optimal contracts. Moreover, the suboptimality gap, measured by the relative improvement of the optimal contract over the best contract without random termination, is extremely small.

Duke Scholars

Published In

Management Science

DOI

EISSN

1526-5501

ISSN

0025-1909

Publication Date

January 1, 2022

Volume

68

Issue

1

Start / End Page

796 / 808

Related Subject Headings

  • Operations Research
  • 46 Information and computing sciences
  • 38 Economics
  • 35 Commerce, management, tourism and services
  • 15 Commerce, Management, Tourism and Services
  • 08 Information and Computing Sciences
 

Citation

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Cao, P., Tian, F., & Sun, P. (2022). Comment on “Optimal Contract to Induce Continued Effort”. Management Science, 68(1), 796–808. https://doi.org/10.1287/mnsc.2020.3927
Cao, P., F. Tian, and P. Sun. “Comment on “Optimal Contract to Induce Continued Effort”.” Management Science 68, no. 1 (January 1, 2022): 796–808. https://doi.org/10.1287/mnsc.2020.3927.
Cao P, Tian F, Sun P. Comment on “Optimal Contract to Induce Continued Effort”. Management Science. 2022 Jan 1;68(1):796–808.
Cao, P., et al. “Comment on “Optimal Contract to Induce Continued Effort”.” Management Science, vol. 68, no. 1, Jan. 2022, pp. 796–808. Scopus, doi:10.1287/mnsc.2020.3927.
Cao P, Tian F, Sun P. Comment on “Optimal Contract to Induce Continued Effort”. Management Science. 2022 Jan 1;68(1):796–808.

Published In

Management Science

DOI

EISSN

1526-5501

ISSN

0025-1909

Publication Date

January 1, 2022

Volume

68

Issue

1

Start / End Page

796 / 808

Related Subject Headings

  • Operations Research
  • 46 Information and computing sciences
  • 38 Economics
  • 35 Commerce, management, tourism and services
  • 15 Commerce, Management, Tourism and Services
  • 08 Information and Computing Sciences