Four ball best ball 1

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.