Design and describe a general m-round winner tournament, Round-Winner-Tournament(P,m), for players P, where in each round 0, 1,...,m − 1 the players are paired randomly and the winners proceed to the next round. After round m − 1, the champion is selected randomly from the remaining players. Interestingly, this tournament structure has the following special cases: m = 0 is a random selection tournament, m = 1 is a random pairing tournament, and m = lg |P| is a single elimination seeding tournament
Design and describe a general m-round winner tournament, Round-Winner-Tournament(P,m), for players P, where in each round 0, 1,...,m − 1 the players are paired randomly and the winners proceed to the next round. After round m − 1, the champion is selected randomly from the remaining players. Interestingly, this tournament structure has the following special cases: m = 0 is a random selection tournament, m = 1 is a random pairing tournament, and m = lg |P| is a single elimination seeding tournament
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter13: Decision Making Under Uncertainty
Section13.4: Decision Trees
Problem 9P
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Design and describe a general m-round winner tournament, Round-Winner-Tournament(P,m), for players P, where in each round 0, 1,...,m − 1 the players are paired randomly and the winners proceed to the next round. After round m − 1, the champion is selected randomly from the remaining players. Interestingly, this tournament structure has the following special cases: m = 0 is a random selection tournament, m = 1 is a random pairing tournament, and m = lg |P| is a single elimination seeding tournament
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