English

Is a sophisticated agent always a wise one?

Optimization and Control 2023-07-26 v2

Abstract

For time inconsistent optimal control problems, a quite popular approach is the equilibrium approach, taken by the sophisticated agents. In this short note we construct a deterministic continuous time example where the unique equilibrium is dominated by another control. Therefore, in this situation it may not be wise to take the equilibrium strategy.

Keywords

Cite

@article{arxiv.2304.12273,
  title  = {Is a sophisticated agent always a wise one?},
  author = {Jianfeng Zhang},
  journal= {arXiv preprint arXiv:2304.12273},
  year   = {2023}
}
R2 v1 2026-06-28T10:16:08.998Z