English

Commitment and Randomization in Communication

Theoretical Economics 2025-11-14 v3

Abstract

When does Sender, in a Sender-Receiver game, strictly value commitment? In a setting with finitely many actions and states, we establish that, generically, commitment has no value if and only if a partitional experiment is optimal. Moreover, if Sender's preferred cheap-talk equilibrium necessarily involves randomization, then Sender values commitment. Our results imply that if a school values commitment to a grading policy, then the school necessarily prefers to grade unfairly. We also ask: for what share of preference profiles does commitment have no value? For any state space, if there are A\left|A\right| actions, the share is at least 1AA\frac{1}{\left|A\right|^{\left|A\right|}}. As the number of states grows large, the share converges precisely to 1AA\frac{1}{\left|A\right|^{\left|A\right|}}.

Cite

@article{arxiv.2410.17503,
  title  = {Commitment and Randomization in Communication},
  author = {Emir Kamenica and Xiao Lin},
  journal= {arXiv preprint arXiv:2410.17503},
  year   = {2025}
}
R2 v1 2026-06-28T19:32:19.468Z