Some Remarks on Strategy in Playing Tennis.

Abstract

The paper shows how the probability of winning a game, a set and a match, depend on the probability of winning a ball (from one's own and from the opponent's serve). The conditions are given under which the usual serve strategy (strong-weak) is optimal. It is also shown that a game is 'strategy-less in the sense that if the player has k( = 1, 2 or 3) balls which he can play with increased probability of winning, then all strategies of placing these balls during the game are equivalent. Finally, it is shown that the last property does not carry over to the case of optimal strategy in a match. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1980
Accession Number
ADA096976

Entities

People

  • Madan L. Puri
  • Robert Bartoszynski

Organizations

  • Indiana University Bloomington

Tags

DTIC Thesaurus Topics

  • Air Force
  • Air Force Facilities
  • Governments
  • Mathematics
  • Probability
  • Random Walk
  • Scientific Research
  • Security
  • Strategic Analysis
  • Terminals
  • Trees (Data Structures)
  • Universities

Fields of Study

  • Economics

Readers

  • Educational Psychology
  • Game Theory.