Two-Armed Restless Bandits with Imperfect Information: Stochastic Control and Indexability
We present a two-armed bandit model of decision making under uncertainty where the expected return to investing in the "risky arm'' increases when choosing that arm and decreases when choosing the "safe'' arm. These dynamics are natural in applications such as human capital development, job search, and occupational choice. Using new insights from stochastic control, along with a monotonicity condition on the payoff dynamics, we show that optimal strategies in our model are stopping rules that can be characterized by an index which formally coincides with Gittins' index. Our result implies the indexability of a new class of "restless'' bandit models.
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| Date of creation: | May 2013 |
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| Handle: | RePEc:nbr:nberwo:19043 |
| Note: | IO LS |
| Contact details of provider: | Postal: National Bureau of Economic Research, 1050 Massachusetts Avenue Cambridge, MA 02138, U.S.A. Phone: 617-868-3900 Web page: http://www.nber.org Email: More information through EDIRC
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