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Calibrated Learning and Correlated Equilibrium
Open accessAbstract
Suppose two players repeatedly meet each other to play a game where 1. each uses a learning rule with the property that it is a calibrated forecast of the other's plays, and 2. each plays a myopic best response to this forecast distribution. Then, the limit points of the sequence of plays are correlated equilibria. In fact, for each correlated equilibrium there is some calibrated learning rule that the players can use which results in their playing this correlated equilibrium in the limit. Thus, the statistical concept of a calibration is strongly related to the game theoretic concept of correlated equilibrium.Journal of Economic LiteratureClassification Numbers: C72,D83,C44.
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Cites
Subjectivity and Correlation in Randomized Strategies
Aumann, R. J. (1974) · Journal of Mathematical Economics · doi:10.1016/0304-4068(74)90037-8 · Cited by 1,630
An Iterative Method of Solving a Game
Robinson, J. (1951) · The Annals of Mathematics · doi:10.2307/1969530 · Cited by 868
Dawid, A. P. (1982) · Journal of the American Statistical Association · doi:10.1080/01621459.1982.10477856 · Cited by 625
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Foundations of Machine Learning
Mohri, M., Rostamizadeh, A., & Talwalkar, A. (2018) · doi:10.7551/mitpress/10290.001.0001 · Cited by 1,122
Opinion Dynamics and Learning in Social Networks
Acemoglu, D., & Ozdaglar, A. (2011) · Dynamic Games and Applications · doi:10.1007/s13235-010-0004-1 · Cited by 705
Cognitive internet of things: A new paradigm beyond connection
Wu, Q., Ding, G., Xu, Y., Feng, S., Du, Z., Wang, J., & Long, K. (2014) · IEEE Internet of Things Journal · doi:10.1109/jiot.2014.2311513 · Cited by 550
Potential Games with Continuous Player Sets
Sandholm, W. H. (2001) · Journal of Economic Theory · doi:10.1006/jeth.2000.2696 · Cited by 448
On the Instability of Bitcoin Without the Block Reward
Carlsten, M., Kalodner, H., Weinberg, S. M., & Narayanan, A. (2016) · Proceedings of the 2016 ACM SIGSAC Conference on Computer and Communications Security · doi:10.1145/2976749.2978408 · Cited by 328
Metadata
- Authors
- Foster, D. P., & Vohra, R. V.
- Venue
- Games and Economic Behavior
- Publisher
- Elsevier BV
- Published
- 1997-10
- Volume
- 21
- Issue
- 1-2
- Pages
- 40-55
- ISSN
- 0899-8256 (ISSN-L)
- OpenAlex
- W2073242866
- Cited by
- 365
- References
- 3
- FWCI
- 10.28
- Type
- journal article
- Language
- en
- Open access
- hybrid
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
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