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econ.TH2025
Making Tennis Fairer: The Grand Tiebreaker
Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour
Tennis, like other games and sports, is governed by rules, including the rules that determine the winner of points, games, sets, and matches. If the two players are equally skilled…
econ.TH2024★ 1 cited
Multi-Tier Tournaments: Matching and Scoring Players
Steven J. Brams, Mehmet S. Ismail
We introduce a novel system of matching and scoring players in tournaments, called Multi-Tier Tournaments, illustrated by chess and based on the following rules: 1. Players are div…
econ.TH2021
Fairer Chess: A Reversal of Two Opening Moves in Chess Creates Balance Between White and Black
Steven J. Brams, Mehmet S. Ismail
Unlike tic-tac-toe or checkers, in which optimal play leads to a draw, it is not known whether optimal play in chess ends in a win for White, a win for Black, or a draw. But after…