1 code implementation • 20 Dec 2023 • Mehmet S. Ismail
The main theorem establishes that the PR$^e$ of a player is equivalent to the TPR whenever the latter is defined.
no code implementations • 11 Dec 2023 • Mehmet S. Ismail, Ronald Peeters
It is well known that ex ante social preferences and expected utility are not always compatible.
no code implementations • 27 Feb 2023 • Mehmet S. Ismail
This score quantifies the ex-post strategic ability of the players based on empirically observable information, such as the actions of the players, the game's outcome, strength of the players, and a reference oracle machine such as a chess-playing artificial intelligence system.
no code implementations • 11 Feb 2023 • Steven J. Brams, Mehmet S. Ismail, D. Marc Kilgour
We call this the $m - n$ rule and, more specifically, propose $(m, n)$ = (5, 4): For A to win, it must successfully kick 5 goals before the end of the round in which B kicks its 4th; for B to win, it must succeed on 4 penalty kicks before A succeeds on 5.
no code implementations • 15 Oct 2022 • Nejat Anbarcı, Mehmet S. Ismail
To reduce the growing incidence of draws, many elite tournaments have resorted to fast chess tiebreakers.
no code implementations • 25 Sep 2022 • 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 to surpass human intelligence and capabilities in all domains.
no code implementations • 20 Sep 2022 • Lorenzo Bastianello, Mehmet S. Ismail
In contrast, mutual knowledge of conjectures assumes that a given profile of conjectures is mutually known, which has long been recognized as a strong assumption.
no code implementations • 10 Jun 2022 • Mehmet S. Ismail
Credible equilibrium is a solution concept that imposes a stronger credibility notion than subgame perfect equilibrium.
no code implementations • 5 Aug 2021 • 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.
no code implementations • 11 Mar 2021 • 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 from the other players' actions to her own actions.
no code implementations • 26 Jan 2021 • 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).
no code implementations • 10 Oct 2020 • Nejat Anbarcı, Kutay Cingiz, Mehmet S. Ismail
A variety of social, economic, and political interactions have long been modelled after Blotto games.
no code implementations • 30 Nov 2019 • Mehmet S. Ismail
Since the 1990s, artificial intelligence (AI) systems have achieved 'superhuman performance' in major zero-sum games, where winning has an unambiguous definition.
no code implementations • 21 Aug 2018 • 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 formation dynamics than previous concepts like coalition-proof Nash equilibrium.