Search Results for author: Mehmet S. Ismail

Found 14 papers, 1 papers with code

Performance rating in chess, tennis, and other contexts

1 code implementation20 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.

Social preferences and expected utility

no code implementations11 Dec 2023 Mehmet S. Ismail, Ronald Peeters

It is well known that ex ante social preferences and expected utility are not always compatible.

Human and Machine Intelligence in n-Person Games with Partial Knowledge: Theory and Computation

no code implementations27 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.

Decision Making Game of Chess

Fairer Shootouts in Soccer: The $m-n$ Rule

no code implementations11 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.

AI-powered mechanisms as judges: Breaking ties in chess and beyond

no code implementations15 Oct 2022 Nejat Anbarcı, Mehmet S. Ismail

To reduce the growing incidence of draws, many elite tournaments have resorted to fast chess tiebreakers.

Exploring the Constraints on Artificial General Intelligence: A Game-Theoretic No-Go Theorem

no code implementations25 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.

Rationality and correctness in n-player games

no code implementations20 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.

Credible equilibrium

no code implementations10 Jun 2022 Mehmet S. Ismail

Credible equilibrium is a solution concept that imposes a stronger credibility notion than subgame perfect equilibrium.

Fairer Chess: A Reversal of Two Opening Moves in Chess Creates Balance Between White and Black

no code implementations5 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.

Conditional strategy equilibrium

no code implementations11 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-harm principle, rationality, and Pareto optimality in games

no code implementations26 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).

Proportional resource allocation in dynamic n-player Blotto games

no code implementations10 Oct 2020 Nejat Anbarcı, Kutay Cingiz, Mehmet S. Ismail

A variety of social, economic, and political interactions have long been modelled after Blotto games.

Super-Nash performance in games

no code implementations30 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.

Decision Making

The strategy of conflict and cooperation

no code implementations21 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.

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