1 citations · 1 across the 12 of their papers we have counts for
14 papers
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…
Performance rating in chess, tennis, and other contexts
Mehmet S. Ismail
In this note, I introduce Estimated Performance Rating (PR), a novel system for evaluating player performance in sports and games. PR addresses a key limitation of the Tour…
Fairer Shootouts in Soccer: The Rule
Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour
Winning the coin toss at the end of a tied soccer game gives a team the right to choose whether to kick either first or second on all five rounds of penalty kicks, when each team i…
Optimin achieves super-Nash performance
Mehmet S. Ismail
Since the 1990s, AI systems have achieved superhuman performance in major zero-sum games where "winning" has an unambiguous definition. However, most social interactions are mixed-…
AI-powered mechanisms as judges: Breaking ties in chess
Nejat Anbarci, Mehmet S. Ismail
Recently, Artificial Intelligence (AI) technology use has been rising in sports to reach decisions of various complexity. At a relatively low complexity level, for example, major t…
Exploring the Constraints on Artificial General Intelligence: A Game-Theoretic No-Go Theorem
Mehmet S. Ismail
The emergence of increasingly sophisticated artificial intelligence (AI) systems have sparked intense debate among researchers, policymakers, and the public due to their potential…
Rationality and correctness in n-player games
Lorenzo Bastianello, Mehmet S. Ismail
There are two well-known sufficient conditions for Nash equilibrium in two-player games: mutual knowledge of rationality (MKR) and mutual knowledge of conjectures. MKR assumes that…
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…
Conditional strategy equilibrium
Lorenzo Bastianello, Mehmet S. Ismail
In this note, we prove the existence of an equilibrium concept, dubbed conditional strategy equilibrium, for non-cooperative games in which a strategy of a player is a function fro…
No-harm principle, rationality, and Pareto optimality in games
Shaun Hargreaves Heap, Mehmet S. Ismail
Mill's classic argument for liberty requires that people's exercise of freedom should be governed by a no-harm principle (NHP). In this paper, we develop the concept of a no-harm e…
Proportional resource allocation in dynamic n-player Blotto games
Nejat Anbarcı, Kutay Cingiz, Mehmet S. Ismail
A variety of social, economic, and political interactions have long been modelled after Blotto games. In this paper, we introduce a general model of dynamic -player Blotto conte…
Super-Nash Performance
Mehmet S. Ismail
In this paper, I introduce a novel benchmark in games, super-Nash performance, and a solution concept, optimin, whereby players maximize their minimal payoff under unilateral profi…
Catch-Up: A Rule that Makes Service Sports More Competitive
Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour +1
Service sports include two-player contests such as volleyball, badminton, and squash. We analyze four rules, including the Standard Rule (SR), in which a player continues to serve…
The strategy of conflict and cooperation
Mehmet S. Ismail
This paper introduces a unified framework called cooperative extensive form games, which (i) generalizes standard non-cooperative games, and (ii) allows for more complex coalition…