From the 1 of 7 linked papers with an AI index.
7 papers
Decision-Making Under Complete Uncertainty: You Will Not Regret Being Greedy
Kristijan Atanasov, Frederik Mallmann-Trenn, Mehmet Mars Seven
The paper introduces a game-theoretic model to analyze the worst-case regret of greedy strategies when the decision-maker faces complete (Knightian) uncertainty, proving that greed…
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…
Subgame Credible Nash Equilibrium
Mehmet Mars Seven
We propose the Subgame Credible Nash Equilibrium (SCNE), a refinement of subgame perfect Nash equilibrium (SPNE) for multi-stage games. SCNE retains the internal credibility requir…
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…