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Denumerable-Armed Bandits

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Author Info

  • Banks, J.s.
  • Sunderam, R.K.

Abstract

This paper studies the class of denumerable-armed (i.e., finite- or countably infinite-armed) Bandit problems with independent arms and geometric discounting over an infinite horizon in which each arm generates rewards according to one of a finite number of distributions. The authors derive certain continuity and curvature properties of the Gittins Index, and provide necessary and sufficient conditions under which this index characterizes the optimal strategies. They then show that at each point in time the arm selected by an optimal strategy will, with positive probability, remain an optimal selection forever. Copyright 1992 by The Econometric Society.

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Bibliographic Info

Paper provided by University of Rochester - Center for Economic Research (RCER) in its series RCER Working Papers with number 277.

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Length: 37 pages
Date of creation: 1991
Date of revision:
Handle: RePEc:roc:rocher:277

Contact details of provider:
Postal: University of Rochester, Center for Economic Research, Department of Economics, Harkness 231 Rochester, New York 14627 U.S.A.

Related research

Keywords: mathematics ; probability ; economic models;

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Cited by:
  1. Cripps, Martin W., 2013. "Optimal learning of a set: Or how to edit a journal if you must," Economics Letters, Elsevier, vol. 120(3), pages 384-388.
  2. Klimenko, Mikhail M., 2004. "Industrial targeting, experimentation and long-run specialization," Journal of Development Economics, Elsevier, vol. 73(1), pages 75-105, February.
  3. Jean Guillaume Forand, 2013. "Keeping Your options Open," Working Papers 1301, University of Waterloo, Department of Economics, revised Feb 2012.
  4. Kung-Yu Chen & Chien-Tai Lin, 2005. "A note on infinite-armed Bernoulli bandit problems with generalized beta prior distributions," Statistical Papers, Springer, vol. 46(1), pages 129-140, January.
  5. Dirk Bergemann & Juuso Vaimaki, 1999. "Stationary Multi Choice Bandit Problems," Cowles Foundation Discussion Papers 1240, Cowles Foundation for Research in Economics, Yale University.
  6. Araújo, Luis Fernando de Oliveira & Camargo, Braz Ministério de, 2010. "Monetary equilibrium with decentralized trade and learning," Textos para discussão 222, Escola de Economia de São Paulo, Getulio Vargas Foundation (Brazil).
  7. Elena Pastorino, 2004. "Optimal Job Design and Career Dynamics in the Presence of Uncertainty," Econometric Society 2004 North American Summer Meetings 292, Econometric Society.
  8. Chien-Tai Lin & C. Shiau, 2000. "Some Optimal Strategies for Bandit Problems with Beta Prior Distributions," Annals of the Institute of Statistical Mathematics, Springer, vol. 52(2), pages 397-405, June.
  9. Keller, Godfrey & Oldale, Alison, 2003. "Branching bandits: a sequential search process with correlated pay-offs," Journal of Economic Theory, Elsevier, vol. 113(2), pages 302-315, December.
  10. Araujo, Luis & Camargo, Braz, 2006. "Information, learning, and the stability of fiat money," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1571-1591, October.
  11. Dirk Bergemann & Juuso Valimaki, 1996. "Learning and Strategic Pricing," Cowles Foundation Discussion Papers 1113, Cowles Foundation for Research in Economics, Yale University.
  12. Epstein, Gil S., 1996. "The extraction of natural resources from two sites under uncertainty," Economics Letters, Elsevier, vol. 51(3), pages 309-313, June.
  13. Araujo, Luis & Camargo, Braz, 2008. "Endogenous supply of fiat money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 48-72, September.

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