Stochastic revision opportunities in Markov decision problems

Yevgeny Tsodikovich, Ehud Lehrer

Research output: Contribution to journalArticlepeer-review

Abstract

We extend Markov Decision Processes to situations where the actions are binding and cannot be changed in every period. Instead, the decision maker can revise her actions at random times. We consider two slightly different models. In the first, the revision opportunity appears at a specific stage at which the decision maker can change her action, but is lost if not used. The action taken then remains constant until the next revision opportunity comes up. In the second model, the revision opportunity remains open and can be used at any time after it appears. Only when the action is changed, it becomes binding again for another random period. We compare between different stochastic revision processes and characterize when one is always preferred to another.

Original languageEnglish
Pages (from-to)251-270
Number of pages20
JournalAnnals of Operations Research
Volume279
Issue number1-2
DOIs
StatePublished - 15 Aug 2019

Keywords

  • Commitment
  • Exogenous timing
  • Markov decision process
  • Stochastic dominance

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