Optimal thresholds in symmetric multi-stage multi-players competitions

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In this paper we deal with symmetric multi-stage multi-players games where the optimal threshold has to be determined for maximising the expected reward. These types of competitions are common in sport games, e.g., high jump and weightlifting. We derive the optimal solution for intermediate stages. For the final stage we do not have a closed-form solution for the general case; however, we only have first and second order conditions for optimality. Nevertheless, we develop closed-form solutions for several special cases.

Original languageEnglish
Pages (from-to)239-254
Number of pages16
JournalInternational Journal of Sport Management and Marketing
Issue number3
StatePublished - 1 Jan 2006


  • Decision analysis
  • Multi-player games
  • Optimal threshold
  • Sport
  • Symmetric games

ASJC Scopus subject areas

  • Business and International Management
  • Strategy and Management
  • Management Science and Operations Research
  • Marketing


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