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6 papers
Correlated optimin
Mehmet Mars Seven
We extend the optimin notion of Ismail (2025) from mixed strategy profiles to correlated distributions. A correlated distribution is evaluated by the worst expected payoff each pla…
Aggregating Elo Ratings: An Axiomatization
Mehmet Mars Seven
Many environments assign several Elo ratings to the same agent: a chess player has classical, rapid, and blitz ratings; an online platform may rate by time control, mode, or format…
How damaging is zero-sum thinking to an agent's interests when the world is positive-sum?
Shaun Hargreaves Heap, Mehmet Mars Seven
We study whether zero-sum decision rules, maximin and minimax, harm agents' interests in positive-sum games relative to Nash equilibrium behaviour or, more generally, than best res…
Decision-Making Under Complete Uncertainty: You Will Not Regret Being Greedy
Kristijan Atanasov, Frederik Mallmann-Trenn, Mehmet Mars Seven
In this paper, we propose a game-theoretic model to study the properties of the worst-case regret of the greedy strategy under complete (Knightian) uncertainty. In a game between a…
Performance Rating Equilibrium
Mehmet Mars Seven
In this note, we introduce a novel performance rating system called Performance Rating Equilibrium (PRE). A PRE is a vector of ratings for each player, such that if these ratings w…
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…