Examination of Markov-chain approximation in football games based on time evolution of ball-passing networks

Autor: Ken Yamamoto, Takuma Narizuka
Rok vydání: 2018
Předmět:
Zdroj: Physical Review E. 98
ISSN: 2470-0053
2470-0045
Popis: This paper considers a simplified model of football in which passes are made according to a Markov chain. The authors focus on the time evolution of the ball-passing network. The theoretical formula for the number of different passes based on the Markov chain is derived, and its results are compared with real ball-passing data. The authors conclude that the Markov chain is a fairly good approximation even during the game.
Databáze: OpenAIRE