Negatively Correlated Bandits
We analyze a two-player game of strategic experimentation with two-armed bandits. Each player has to decide in continuous time whether to use a safe arm with a known payoff or a risky arm whose likelihood of delivering payoffs is initially unknown. The quality of the risky arms is perfectly negatively correlated between players. In marked contrast to the case where both risky arms are of the same type, we find that learning will be complete in any Markov perfect equilibrium if the stakes exceed a certain threshold, and that all equilibria are in cutoff strategies. For low stakes, the equilibrium is unique, symmetric, and coincides with the planner's solution. For high stakes, the equilibrium is unique, symmetric, and tantamount to myopic behavior. For intermediate stakes, there is a continuum of equilibria.
|Date of creation:||01 Aug 2008|
|Date of revision:|
|Contact details of provider:|| Postal: Ludwigstr. 28, 80539 Munich, Germany|
Web page: http://www.vwl.uni-muenchen.de
More information through EDIRC
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
- Keller, R Godfrey & Rady, Sven, 2009.
"Strategic Experimentation with Poisson Bandits,"
CEPR Discussion Papers
7270, C.E.P.R. Discussion Papers.
- Sven Rady & Godfrey Keller, 2007. "Strategic Experimentation with Poisson Bandits," 2007 Meeting Papers 332, Society for Economic Dynamics.
- Keller, Godfrey & Rady, Sven, 2009. "Strategic Experimentation with Poisson Bandits," Discussion Papers in Economics 10575, University of Munich, Department of Economics.
- Keller, Godfrey & Rady, Sven, 2009. "Strategic Experimentation with Poisson Bandits," Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems 260, Free University of Berlin, Humboldt University of Berlin, University of Bonn, University of Mannheim, University of Munich.
- Bergin, James & MacLeod, W Bentley, 1993. "Continuous Time Repeated Games," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 21-37, February.
- Dirk Bergemann & Juuso Valimaki, 2006. "Bandit Problems," Cowles Foundation Discussion Papers 1551, Cowles Foundation for Research in Economics, Yale University.
- Kaylan Chatterjee & Robert Evans, 2004. "Rivals' Search for Buried Treasure: Competition and Duplication in R&D," RAND Journal of Economics, The RAND Corporation, vol. 35(1), pages 160-183, Spring.
- Godfrey Keller & Sven Rady & Martin Cripps, 2005.
"Strategic Experimentation with Exponential Bandits,"
Econometric Society, vol. 73(1), pages 39-68, 01.
- Jonathon M. Clegg, 2016. "Perception vs Reality: How Does The British Electorate Evaluate Economic Performance of Incumbent Governments In The Post War Period?," Economics Series Working Papers 143, University of Oxford, Department of Economics.
- Cripps, Martin & Keller, Godfrey & Rady, Sven, 2003. "Strategic Experimentation with Exponential Bandits," Discussion Papers in Economics 4, University of Munich, Department of Economics.
- Cripps, Martin William & Keller, R Godfrey & Rady, Sven, 2003. "Strategic Experimentation with Exponential Bandits," CEPR Discussion Papers 3814, C.E.P.R. Discussion Papers.
- James Bergin, 1989.
"A Model of Strategic Behaviour in Repeated Games,"
751, Queen's University, Department of Economics.
- Dinah Rosenberg & Eilon Solan & Nicolas Vieille, 2004.
"Social Learning in One-Arm Bandit Problems,"
1396, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
- Patrick Bolton & Christopher Harris, 1999. "Strategic Experimentation," Econometrica, Econometric Society, vol. 67(2), pages 349-374, March.
- Camargo, Braz, 2007. "Good news and bad news in two-armed bandits," Journal of Economic Theory, Elsevier, vol. 135(1), pages 558-566, July.
- Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
When requesting a correction, please mention this item's handle: RePEc:lmu:muenec:5332. See general information about how to correct material in RePEc.
For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Tamilla Benkelberg)
If references are entirely missing, you can add them using this form.