Abstract
This paper analyzes a two-player game of strategic experimentation with three-armed exponential bandits in continuous time. Players face replica bandits, with one arm that is safe in that it generates a known payoff, whereas the likelihood of the risky arms’ yielding a positive payoff is initially unknown. It is common knowledge that the types of the two risky arms are perfectly negatively correlated. I show that the efficient policy is incentive-compatible if, and only if, the stakes are high enough. Moreover, learning will be complete in any Markov perfect equilibrium with continuous value functions if, and only if, the stakes exceed a certain threshold.
Item Type: | Paper |
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Keywords: | Strategic Experimentation, Three-Armed Bandit, Exponential Distribution, Poisson Process, Bayesian Learning, Markov Perfect Equilibrium |
Faculties: | Special Research Fields > Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems Special Research Fields > Discussion Paper Series of SFB/TR 15 Governance and the Efficiency of Economic Systems > A8 - Strategische Erzeugung und Weitergabe von Informationen |
Subjects: | 300 Social sciences > 330 Economics |
JEL Classification: | C73, D83, O32 |
URN: | urn:nbn:de:bvb:19-epub-13221-7 |
Language: | English |
Item ID: | 13221 |
Date Deposited: | 10. Jul 2012, 13:06 |
Last Modified: | 04. Nov 2020, 12:53 |