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Decision Making in Uncertain and Changing Environments

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Author Info
Karl Schlag ()
Andriy Zapechelnyuk

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Abstract

We consider an agent who has to repeatedly make choices in an uncertain and changing environment, who has full information of the past, who discounts future payoffs, but who has no prior. We provide a learning algorithm that performs almost as well as the best of a given finite number of experts or benchmark strategies and does so at any point in time, provided the agent is sufficiently patient. The key is to find the appropriate degree of forgetting distant past. Standard learning algorithms that treat recent and distant past equally do not have the sequential epsilon optimality property.

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File URL: http://www.econ.upf.edu/docs/papers/downloads/1160.pdf
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Publisher Info
Paper provided by Department of Economics and Business, Universitat Pompeu Fabra in its series Economics Working Papers with number 1160.

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Date of creation: Jun 2009
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Handle: RePEc:upf:upfgen:1160

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Web page: http://www.econ.upf.edu/

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Related research
Keywords: Adaptive learning; experts; distribution-free; e-optimality; Hannan regret;

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Find related papers by JEL classification:
C44 - Mathematical and Quantitative Methods - - Econometric and Statistical Methods: Special Topics - - - Statistical Decision Theory; Operations Research
D81 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Criteria for Decision-Making under Risk and Uncertainty
D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search, Learning, and Information

References listed on IDEAS
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  1. Foster, Dean P. & Young, H. Peyton, 2006. "Regret testing: learning to play Nash equilibrium without knowing you have an opponent," Theoretical Economics, Society for Economic Theory, vol. 1(3), pages 341-367, September. [Downloadable!]
  2. Lehrer, Ehud, 2003. "A wide range no-regret theorem," Games and Economic Behavior, Elsevier, vol. 42(1), pages 101-115, January. [Downloadable!] (restricted)
    Other versions:
  3. Foster, Dean P. & Vohra, Rakesh V., 1997. "Calibrated Learning and Correlated Equilibrium," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 40-55, October. [Downloadable!] (restricted)
  4. Mailath, George J. & Postlewaite, Andrew & Samuelson, Larry, 2005. "Contemporaneous perfect epsilon-equilibria," Games and Economic Behavior, Elsevier, vol. 53(1), pages 126-140, October. [Downloadable!] (restricted)
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  5. Sergiu Hart & Andreu Mas-Colell, 2000. "A Simple Adaptive Procedure Leading to Correlated Equilibrium," Econometrica, Econometric Society, vol. 68(5), pages 1127-1150, September.
    Other versions:
  6. Fudenberg, Drew & Levine, David K., 1999. "Conditional Universal Consistency," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 104-130, October. [Downloadable!] (restricted)
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  7. Sergiu Hart, 2005. "Adaptive Heuristics," Econometrica, Econometric Society, vol. 73(5), pages 1401-1430, 09. [Downloadable!] (restricted)
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  8. Freund, Yoav & Schapire, Robert E., 1999. "Adaptive Game Playing Using Multiplicative Weights," Games and Economic Behavior, Elsevier, vol. 29(1-2), pages 79-103, October. [Downloadable!] (restricted)
  9. Lehrer, Ehud & Solan, Eilon, 2009. "Approachability with bounded memory," Games and Economic Behavior, Elsevier, vol. 66(2), pages 995-1004, July. [Downloadable!] (restricted)
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This page was last updated on 2009-11-20.


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