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The computational characterization of game-theoretic solution concepts is a central topic in artificial intelligence, with the aim of developing computationally efficient tools for finding optimal ways to behave in strategic interactions.…

Computer Science and Game Theory · Computer Science 2013-04-05 Nicola Gatti , Marco Rocco , Tuomas Sandholm

A natural goal in multiagent learning besides finding equilibria is to learn rationalizable behavior, where players learn to avoid iteratively dominated actions. However, even in the basic setting of multiplayer general-sum games, existing…

Machine Learning · Computer Science 2022-10-21 Yuanhao Wang , Dingwen Kong , Yu Bai , Chi Jin

Driving progress of AI models and agents requires comparing their performance on standardized benchmarks; for general agents, individual performances must be aggregated across a potentially wide variety of different tasks. In this paper, we…

Evaluating the capabilities and risks of foundation models is paramount, yet current methods demand extensive domain expertise, hindering their scalability as these models rapidly evolve. We introduce SKATE: a novel evaluation framework in…

Artificial Intelligence · Computer Science 2026-02-13 Dewi S. W. Gould , Bruno Mlodozeniec , Samuel F. Brown

We introduce the sampling logit equilibrium (SLE), a stationary concept for population games in which agents evaluate actions using a finite sample of opponents' plays and respond according to a logit choice rule. This framework combines…

Theoretical Economics · Economics 2026-03-11 Minoru Osawa

As intelligent agents become more generally-capable, i.e. able to master a wide variety of tasks, the complexity and cost of properly evaluating them rises significantly. Tasks that assess specific capabilities of the agents can be…

Artificial Intelligence · Computer Science 2026-02-12 Marc Lanctot , Kate Larson , Ian Gemp , Michael Kaisers

Mean field equilibrium (MFE) has emerged as a computationally tractable solution concept for large dynamic games. However, computing MFE remains challenging due to nonlinearities and the absence of contraction properties, limiting its…

Theoretical Economics · Economics 2025-06-23 Bar Light

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 were each player's initial rating at the start of a…

Theoretical Economics · Economics 2025-11-04 Mehmet Mars Seven

Computing equilibria of games is a central task in computer science. A large number of results are known for \emph{Nash equilibrium} (NE). However, these can be adopted only when coalitions are not an issue. When instead agents can form…

Computer Science and Game Theory · Computer Science 2017-11-20 Nicola Gatti , Marco Rocco , Tuomas Sandholm

A fundamental property of choice functions is stability, which, loosely speaking, prescribes that choice sets are invariant under adding and removing unchosen alternatives. We provide several structural insights that improve our…

Theoretical Economics · Economics 2020-04-06 Felix Brandt , Markus Brill , Hans Georg Seedig , Warut Suksompong

This paper presents a technique for approximating, up to any precision, the set of subgame-perfect equilibria (SPE) in discounted repeated games. The process starts with a single hypercube approximation of the set of SPE. Then the initial…

Computer Science and Game Theory · Computer Science 2010-02-10 Andriy Burkov , Brahim Chaib-draa

Strategic multi-agent systems are fundamentally characterized by decentralization, uncertainty, and ambiguity. Agents operating under limited observations will often need to make decisions based on simplified internal models of the…

Computer Science and Game Theory · Computer Science 2026-05-21 Aya Hamed , Jason R. Marden , Jeff S. Shamma

Creating agents that can interact naturally with humans is a common goal in artificial intelligence (AI) research. However, evaluating these interactions is challenging: collecting online human-agent interactions is slow and expensive, yet…

A Nash Equilibrium (NE) is a strategy profile resilient to unilateral deviations, and is predominantly used in the analysis of multiagent systems. A downside of NE is that it is not necessarily stable against deviations by coalitions. Yet,…

Computer Science and Game Theory · Computer Science 2014-01-16 Michal Feldman , Tami Tamir

Reinforcement learning has substantially improved the performance of LLM agents on tasks with verifiable outcomes, but it still struggles on open-ended agent tasks with vast solution spaces (e.g., complex travel planning). Due to the…

Deterministic game-solving algorithms are conventionally analyzed in the light of their average-case complexity against a distribution of random game-trees, where leaf values are independently sampled from a fixed distribution. This…

Artificial Intelligence · Computer Science 2026-02-06 Raphaël Boige , Amine Boumaza , Bruno Scherrer

We study a decentralized matching market in which firms sequentially make offers to potential workers. For each offer, the worker can choose "accept" or "reject," but the decision is irrevocable. The acceptance of an offer guarantees her…

Computer Science and Game Theory · Computer Science 2019-11-19 Yasushi Kawase , Yutaro Yamaguchi , Yu Yokoi

Single-elimination (SE) tournaments are a popular format used in competitive environments and decision making. Algorithms for SE tournament manipulation have been an active topic of research in recent years. In this paper, we initiate the…

Data Structures and Algorithms · Computer Science 2024-02-12 Sushmita Gupta , M. S. Ramanujan , Peter Strulo

Within the context of video games the notion of perfectly rational agents can be undesirable as it leads to uninteresting situations, where humans face tough adversarial decision makers. Current frameworks for stochastic games and…

Artificial Intelligence · Computer Science 2019-01-09 Jordi Grau-Moya , Felix Leibfried , Haitham Bou-Ammar

We consider the problem of learning stable matchings with unknown preferences in a decentralized and uncoordinated manner, where "decentralized" means that players make decisions individually without the influence of a central platform, and…

Computer Science and Game Theory · Computer Science 2024-08-16 S. Rasoul Etesami , R. Srikant
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