A wide range no-regret theorem

Research output: Contribution to journalReview articlepeer-review


In a sequential decision problem at any stage a decision maker, based on the history, takes a decision and receives a payoff which depends also on the realized state of nature. A strategy, f, is said to be as good as an alternative strategy g at a sequence of states, if in the long run f does, on average, at least as well as g does. It is shown that for any distribution, μ, over the alternative strategies there is a strategy f which is, at any sequence of states, as good as μ-almost any alternative g.

Original languageEnglish
Pages (from-to)101-115
Number of pages15
JournalGames and Economic Behavior
Issue number1
StatePublished - Jan 2003


  • Approachability
  • Regret-free strategy
  • Replacing scheme
  • Sequential decision problem


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