Learning Efficiency of Multi-Agent Information Structures
Abstract/Contents
- Abstract
- We study settings in which, prior to playing an incomplete information game, players observe many draws of private signals about the state from some information structure. Signals are i.i.d. across draws, but may display arbitrary correlation across players. For each information structure, we define a simple learning efficiency index, which only considers the statistical distance between the worst-informed player's marginal signal distributions in different states. We show, first, that this index characterizes the speed of common learning (Cripps, Ely, Mailath, and Samuelson, 2008): In particular, the speed at which players achieve approximate common knowledge of the state coincides with the slowest player's speed of individual learning, and does not depend on the correlation across players' signals. Second, we build on this characterization to provide a ranking over information structures: We show that, with sufficiently many signal draws, information structures with a higher learning efficiency index lead to better equilibrium outcomes, robustly for a rich class of games and objective functions. We discuss implications of our results for constrained information design in games and for the question when information structures are complements vs. substitutes.
Description
| Type of resource | text |
|---|---|
| Date created | August 19, 2021 |
Creators/Contributors
| Author | Frick, Mira |
|---|---|
| Author | Iijima, Ryota |
| Author | Ishii, Yuhta |
| Organizer of meeting | Board, Simon |
| Organizer of meeting | Cisternas, Gonzalo |
| Organizer of meeting | Frick, Mira |
| Organizer of meeting | Georgiadis, George |
| Organizer of meeting | Skrzypacz, Andrzej |
| Organizer of meeting | Sugaya, Takuo |
Subjects
| Subject | economics |
|---|---|
| Genre | Text |
| Genre | Working paper |
| Genre | Grey literature |
Bibliographic information
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- User agrees that, where applicable, content will not be used to identify or to otherwise infringe the privacy or confidentiality rights of individuals. Content distributed via the Stanford Digital Repository may be subject to additional license and use restrictions applied by the depositor.
- License
- This work is licensed under a Creative Commons Attribution 4.0 International license (CC BY).
Preferred citation
- Preferred citation
- Frick, M., Iijima, R., and Ishii, Y. (2022). Learning Efficiency of Multi-Agent Information Structures. Stanford Digital Repository. Available at https://purl.stanford.edu/jg771cp6985
Collection
SITE Conference 2021
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