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WINNER PLAYS COMPETITION MODELS
Published online by Cambridge University Press: 18 October 2019
Abstract
Suppose there are n players in an ongoing competition, with player i having value vi, and suppose that a game between i and j is won by i with probability vi/(vi + vj). Consider the winner plays competition where in each stage two players play a game, and the winner keeps playing in the next game. We consider two models for choosing its opponent, analyze both models as Markov chains, and determine their stationary probabilities as well as other quantities of interest.
- Type
- Research Article
- Information
- Probability in the Engineering and Informational Sciences , Volume 35 , Issue 2 , April 2021 , pp. 236 - 241
- Copyright
- Copyright © Cambridge University Press 2019