Information Design Possibility Set

Weijie Zhong

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arXiv · 1804.05752

Information Design Possibility Set

Weijie Zhong

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Abstract

Let $\mathcal{V}$ be the set of all combinations of expected value of finite objective functions from designing information. I showed that $\mathcal{V}$ is a compact and convex set implemented by signal structures with finite support when unknown states are finite. Moreover, $\mathcal{V}(\mu)$ as a correspondence of prior is continuous. This result can be applied to develop a concavification method of Lagrange multipliers that works with general constrained optimization. It also provides tractability to a wide range of information design problems.

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Weijie Zhong. 2018-04-16. Information Design Possibility Set. https://arxiv.org/abs/1804.05752

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