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Four ball best ball 1.

Geoff Pollard1, Graham Pollard

  • 1Faculty of Life and Social Sciences, Swinburne University of Technology , Melbourne, Australia.

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|October 24, 2013
PubMed
Summary
This summary is machine-generated.

This study models four-ball-best-ball (4BBB) golf, finding player birdie capacity crucial for pairs. While individual rating is complex, a specific player class allows it, and strategic play enhances team success.

Keywords:
Strategies for four ball best ball golfselecting pairs of four ball best ball players

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Area of Science:

  • Sports Analytics
  • Game Theory
  • Mathematical Modeling

Background:

  • The four-ball-best-ball (4BBB) is a popular golf format.
  • Assessing individual player contribution within a pair is complex.
  • Fairness and strategic elements of 4BBB require mathematical analysis.

Purpose of the Study:

  • To develop a mathematical model for the 4BBB golf scoring system.
  • To analyze the fairness and rating possibilities of individual players within 4BBB.
  • To investigate strategic decision-making for players and pairs in 4BBB match-play.

Main Methods:

  • Development of a 4BBB mathematical model.
  • Analysis of player statistics, focusing on birdie-making ability.
  • Application of game theory principles to strategic scenarios.
  • Examination of pair dynamics and the transitive law.

Main Results:

  • The 4BBB system demonstrates fundamental fairness.
  • Individual player rating is generally not feasible, but possible for a specific player class.
  • Birdie-making capacity is a primary determinant of success in 4BBB pairs.
  • The transitive law applies to 4BBB pairs, enabling consistent ranking.
  • Optimal strategies for risk-taking, playing safe, and opponent interaction were identified.

Conclusions:

  • The 4BBB model provides insights into golf pair dynamics and fairness.
  • Player skill, particularly birdie performance, significantly impacts 4BBB success.
  • Strategic play and player interaction are crucial components of effective 4BBB pairings.
  • The study identifies conditions for individual player rating and optimal team strategies.