English

Sequential optimal contracting in continuous time

Optimization and Control 2024-11-08 v1 Theoretical Economics Probability

Abstract

In this paper we study a principal-agent problem in continuous time with multiple lump-sum payments (contracts) paid at different deterministic times. We reduce the non-zero sum Stackelberg game between the principal and agent to a standard stochastic optimal control problem. We apply our result to a benchmark model for which we investigate how different inputs (payment frequencies, payments' distribution, discounting factors, agent's reservation utility) affect the principal's value and agent's optimal compensations.

Keywords

Cite

@article{arxiv.2411.04262,
  title  = {Sequential optimal contracting in continuous time},
  author = {Guillermo Alonso Alvarez and Erhan Bayraktar and Ibrahim Ekren and Liwei Huang},
  journal= {arXiv preprint arXiv:2411.04262},
  year   = {2024}
}
R2 v1 2026-06-28T19:50:42.075Z