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Game Theoretic Analysis of Federer vs Djokovic

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Game Theoretic Analysis of Federer vs Djokovic
FedEx versus Djoker:
Through the Lens of Game Theory

Term Paper | IIMK | PGP 15

Submitted By: Group 13
Ranjith P

(PGP/015/041)

Ankur Pandit

(PGP/015/206)

Anurag Butoliya (PGP/015/207)
Paran Gupta

(PGP/015/240)

FedEx versus Djoker: Through the Lens of game Theory

Executive Summary:
Being inspired by the recent clash between Federer and Djokovic in Wimbledon 2012, we as a group decided to explore the game theory dynamics of this celebrated matchup. Both these players have faced each other quite often at crucial junctures resulting in exciting matches. There are two aspects of this game that we wish to analyze. At first, how the relative strengths of these players determine the outcome of the game. While Federer is the champion in the accuracy and placement of serves, Djokovic boasts of the best return game ever. Secondly, how do the court conditions affect the strategy of each player.
We evaluate this game as a simultaneous move game with mixed strategies. This is because of the very small reaction time available. We model the game in the form of a tree and use probability of winning of each player to determine the payoffs. The probabilities in turn are calculated from the past performance of the players against each other.
So who would you bet your money on:
Federer’s surgeon-like precision in serving OR Djokovic’s ultra-aggressive return game
Read on to find out!!

2|Page

FedEx versus Djoker: Through the Lens of game Theory

Game Setting: Background of the Situation
Roger Fedrer Vs Novak Djokovic is considered to be one of the Tennis’ most revered rivalries. A matchup between them is not only interesting, but also entertaining for the spectators. Both the players have their relative strength and weaknesses, while Federer has more variety in forehand, return of serve is Novak’s specialty. Federer is great at tactics but due to the age factor Novak has an edge in stamina. Both players are equally matched in



References:    http://www.dnaindia.com/sport/report_wimbledon-2012-djokovic-v-federer-the-perfectmatch_1711323 Grand slam statistics Games of Strategy by Dixit, Skeath, Reily Word Count: 1553 words 10 | P a g e

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