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Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

In this work, we consider a group of n agents which interact with each other in a cooperative framework. A Laplacian-based model is proposed to govern the evolution of opinions in the group when the agents are subjected to external biases…

Systems and Control · Electrical Eng. & Systems 2024-12-30 Akshay Nagesh Kamthe , Vishnudatta Thota , Aashi Shrinate , Twinkle Tripathy

We propose an abstract approach to coalition formation that focuses on simple merge and split rules transforming partitions of a group of players. We identify conditions under which every iteration of these rules yields a unique partition.…

Computer Science and Game Theory · Computer Science 2009-03-03 Krzysztof R. Apt , Andreas Witzel

We consider stability concepts for random matchings where agents have preferences over objects and objects have priorities for the agents. When matchings are deterministic, the standard stability concept also captures the fairness property…

Computer Science and Game Theory · Computer Science 2017-07-06 Haris Aziz , Bettina Klaus

In this paper, we consider one-to-one matchings between two disjoint groups of agents. Each agent has a preference over a subset of the agents in the other group, and these preferences may contain ties. Strong stability is one of the…

Computer Science and Game Theory · Computer Science 2024-01-08 Naoyuki Kamiyama

We consider the coalition formation games with an additional component, `noisy preferences'. Moreover, such noisy preferences are available only for a sample of coalitions. We propose a multiplicative noise model and obtain the prediction…

Computer Science and Game Theory · Computer Science 2023-01-25 Prashant Trivedi , Nandyala Hemachandra

We present a general framework for modeling a wide selection of flocking scenarios under free boundary conditions. Several variants have been considered - including examples for the widely observed behavior of hierarchically interacting…

Physics and Society · Physics 2019-04-23 Yongnan Jia , Tamas Vicsek

The effect of decoherence is analysed for a free particle, interacting with an environment via a dissipative coupling. The interaction between the particle and the environment occurs by a coupling of the position operator of the particle…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Anu Venugopalan

We study stable matching problems where agents have multilayer preferences: There are $\ell$ layers each consisting of one preference relation for each agent. Recently, Chen et al. [EC '18] studied such problems with strict preferences,…

Computer Science and Game Theory · Computer Science 2022-05-17 Matthias Bentert , Niclas Boehmer , Klaus Heeger , Tomohiro Koana

Hedonic Games (HGs) are a classical framework modeling coalition formation of strategic agents guided by their individual preferences. According to these preferences, it is desirable that a coalition structure (i.e. a partition of agents…

Computer Science and Game Theory · Computer Science 2024-01-17 Simone Fioravanti , Michele Flammini , Bojana Kodric , Giovanna Varricchio

We deal with coalitional games possessing strictly positive values. Individually rational allocations of such a game has clear fractional interpretations. Many concepts, including the long-existing core and other stability notions more…

Theoretical Economics · Economics 2023-04-24 Jian Yang

We prove an existence result for the principal-agent problem with adverse selection under general assumptions on preferences and allocation spaces. Instead of assuming that the allocation space is finite-dimensional or compact, we consider…

Optimization and Control · Mathematics 2020-03-11 Guillaume Carlier , Kelvin Shuangjian Zhang

How do decisions change with the economic environment and with time? This paper studies general nonstationary stopping problems and provides the methodological tools to answer these questions. First, we identify conditions that ensure a…

Theoretical Economics · Economics 2024-08-01 Théo Durandard , Matteo Camboni

We present a novel approach allowing the study of rare events like fixation under fluctuating environments, modeled as extrinsic noise, in evolutionary processes characterized by the dominance of one species. Our treatment consists of…

Populations and Evolution · Quantitative Biology 2013-12-16 Michael Assaf , Mauro Mobilia , Elijah Roberts

Recent research reveals that machine learning (ML) models are highly sensitive to minor changes in their training procedure, such as the inclusion or exclusion of a single data point, leading to conflicting predictions on individual data…

Machine Learning · Computer Science 2025-07-15 Falaah Arif Khan , Denys Herasymuk , Nazar Protsiv , Julia Stoyanovich

We consider the two-sided stable matching setting in which there may be uncertainty about the agents' preferences due to limited information or communication. We consider three models of uncertainty: (1) lottery model --- in which for each…

Computer Science and Game Theory · Computer Science 2016-07-12 Haris Aziz , Péter Biró , Serge Gaspers , Ronald de Haan , Nicholas Mattei , Baharak Rastegari

The stable marriage and stable roommates problems have been extensively studied due to their high applicability in various real-world scenarios. However, it might happen that no stable solution exists, or stable solutions do not meet…

Computer Science and Game Theory · Computer Science 2022-04-29 Kristóf Bérczi , Gergely Csáji , Tamás Király

We consider dynamic cooperative games, where the worth of coalitions varies over time according to the history of allocations. When defining the core of a dynamic game, we allow the possibility for coalitions to deviate at any time and…

Computer Science and Game Theory · Computer Science 2017-04-04 Ehud Lehrer , Marco Scarsini

Inspired by the swarming or flocking of animal systems we study groups of agents moving in unbounded 2D space. Individual trajectories derive from a ``bottom-up'' principle: individuals reorient to maximise their future path entropy over…

Statistical Mechanics · Physics 2023-04-21 Harvey L. Devereux , Matthew S. Turner

This paper is concerned with the problem of controlling a system of constrained dynamic subsystems in a way that balances the performance degradation of decentralized control with the practical cost of centralized control. We propose a…

Systems and Control · Electrical Eng. & Systems 2020-01-29 Pablo R Baldivieso-Monasterios , Paul A Trodden