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We propose a game-theoretic framework that incorporates both incomplete information and general ambiguity attitudes on factors external to all players. Our starting point is players' preferences on payoff-distribution vectors, essentially…

Economics · Quantitative Finance 2017-04-04 Jian Yang

This paper studies a central planner's decision making on behalf of a group of members with diverse discount rates. In the context of optimal stopping, we work with an aggregation preference to incorporate all discount rates via an attitude…

Mathematical Finance · Quantitative Finance 2025-10-15 Shuoqing Deng , Xiang Yu , Jiacheng Zhang

Complexity of the problem of choosing among uncertain acts is a salient feature of many of the environments in which departures from expected utility theory are observed. I propose and axiomatize a model of choice under uncertainty in which…

Theoretical Economics · Economics 2022-10-17 Quitzé Valenzuela-Stookey

A central question for causal inference is to decide whether a set of correlations fit a given causal structure. In general, this decision problem is computationally infeasible and hence several approaches have emerged that look for…

Quantum Physics · Physics 2018-07-26 Mirjam Weilenmann , Roger Colbeck

This paper provides a comprehensive analysis of stability and long-time behaviour of a coupled system constituted by two rigid bodies separated by a thin layer of lubricant. We show that permanent rotations of the whole system, with the…

Dynamical Systems · Mathematics 2023-08-08 Evan Arsenault , Giusy Mazzone

The chore division problem simulates the fair division of a heterogeneous, undesirable resource among several agents. In the fair division of chores, each agent only gets the disutility from its own piece. Agents may, however, also be…

Computer Science and Game Theory · Computer Science 2024-02-27 Mohammad Azharuddin Sanpui

Multimodal large language models (MLLMs) must resolve conflicts when different modalities provide contradictory information, a process we term modality following. Prior work measured this behavior only with coarse dataset-level statistics,…

Artificial Intelligence · Computer Science 2025-11-05 Zhuoran Zhang , Tengyue Wang , Xilin Gong , Yang Shi , Haotian Wang , Di Wang , Lijie Hu

We consider a far generalization of the well-known stable roommates and non-bipartite stable allocation problems. In its setting, one is given a finite non-bipartite graph $G=(V,E)$ with nonnegative integer edge capacities $b(e)\in{\mathbb…

Combinatorics · Mathematics 2026-03-26 Alexander V. Karzanov

At the beginning of a dynamic game, players may have exogenous theories about how the opponents are going to play. Suppose that these theories are commonly known. Then, players will refine their first-order beliefs, and challenge their own…

Computer Science and Game Theory · Computer Science 2017-07-28 Emiliano Catonini

In the propositional setting, the marginal problem is to find a (maximum-entropy) distribution that has some given marginals. We study this problem in a relational setting and make the following contributions. First, we compare two…

Artificial Intelligence · Computer Science 2018-04-26 Ondrej Kuzelka , Yuyi Wang , Jesse Davis , Steven Schockaert

In this article, we study feature attributions of Machine Learning (ML) models originating from linear game values and coalitional values defined as operators on appropriate functional spaces. The main focus is on random games based on the…

Computer Science and Game Theory · Computer Science 2024-08-13 Alexey Miroshnikov , Konstandinos Kotsiopoulos , Khashayar Filom , Arjun Ravi Kannan

We investigate a voting scenario with two groups of agents whose preferences depend on a ground truth that cannot be directly observed. The majority's preferences align with the ground truth, while the minorities disagree. Focusing on…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

The Stable Roommates problems are characterized by the preferences of agents over other agents as roommates. A solution is a partition of the agents into pairs that are acceptable to each other (i.e., they are in the preference lists of…

Artificial Intelligence · Computer Science 2025-07-29 Müge Fidan , Esra Erdem

We introduce a generalized version of the famous Stable Marriage problem, now based on multi-modal preference lists. The central twist herein is to allow each agent to rank its potentially matching counterparts based on more than one…

Multiagent Systems · Computer Science 2018-01-10 Jiehua Chen , Rolf Niedermeier , Piotr Skowron

Within the task of collaborative filtering two challenges for computing conditional probabilities exist. First, the amount of training data available is typically sparse with respect to the size of the domain. Thus, support for higher-order…

Information Retrieval · Computer Science 2012-07-19 Lawrence Zitnick , Takeo Kanade

Coalition formation is a key topic in multiagent systems. One would prefer a coalition structure that maximizes the sum of the values of the coalitions, but often the number of coalition structures is too large to allow exhaustive search…

Multiagent Systems · Computer Science 2007-05-23 Tuomas Sandholm , Kate Larson , Martin Andersson , Onn Shehory , Fernando Tohme

We study the problem of empirical coordination subject to a fidelity criterion for a general set-up. We prove a result which indicates a strong connection between our framework and the framework of empirical coordination developed in [1].…

Information Theory · Computer Science 2019-07-16 Michail Mylonakis , Photios A. Stavrou , Mikael Skoglund

Why do division and cohesion often intensify together? This paper develops a static structural theory of relation maintenance based on minimal positional constraints. Rather than relying on utility-based or probabilistic models, social…

Physics and Society · Physics 2026-03-02 Daisuke Hirota

We extend simple opinion models to obtain stable but continuously evolving communities. Our scope is to meet a challenge raised by sociologists of generating "structures that last from non lasting entities". We achieve this by introducing…

Physics and Society · Physics 2015-06-05 Sébastian Grauwin , Pablo Jensen

In this paper, we introduce a new class of optimization problems whose objective functions are weakly homogeneous relative to the constraint sets. By using the normalization argument in asymptotic analysis, we prove two criteria for the…

Optimization and Control · Mathematics 2022-04-29 Vu Trung Hieu
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