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We give a structure theorem for all coalitionally strategy-proof social choice functions whose range is a subset of cardinality two of a given larger set of alternatives. We provide this in the case where the voters/agents are allowed to…

Theoretical Economics · Economics 2020-07-06 Achille Basile , Surekha Rao , K. P. S. Bhaskara Rao

A sharing community prospers when participation and contribution are both high. We suggest the two, while being related decisions every peer makes, should be given separate rational bases. Considered as such, a basic issue is the viability…

Networking and Internet Architecture · Computer Science 2011-11-09 W. -Y. Ng , D. M. Chiu , W. K. Lin

Logics with team semantics provide alternative means for logical characterization of complexity classes. Both dependence and independence logic are known to capture non-deterministic polynomial time, and the frontiers of tractability in…

Logic in Computer Science · Computer Science 2019-03-27 Miika Hannula , Lauri Hella

Large Language Models (LLMs) achieve strong performance in analyzing and generating text, yet they struggle with explicit, transparent, and verifiable reasoning over complex texts such as those containing debates. In particular, they lack…

Artificial Intelligence · Computer Science 2026-03-04 Gianvincenzo Alfano , Sergio Greco , Lucio La Cava , Stefano Francesco Monea , Irina Trubitsyna

Motivated by data on coauthorships in scientific publications, we analyze a team formation process that generalizes matching models and network formation models, allowing for overlapping teams of heterogeneous size. We apply different…

Theoretical Economics · Economics 2022-11-29 Leonardo Boncinelli , Alessio Muscillo , Paolo Pin

Defeasible reasoning is a kind of reasoning where some generalisations may not be valid in all circumstances, that is general conclusions may fail in some cases. Various formalisms have been developed to model this kind of reasoning, which…

Artificial Intelligence · Computer Science 2024-03-06 Gabriele Sacco , Loris Bozzato , Oliver Kutz

To any finite ordered subset and any finite partition of a group a set of tuples of positive integers, named as configurations, is associated that describes the group's behavior. The present paper provides an exposition of this notion and…

Group Theory · Mathematics 2018-04-24 Akram Yousofzadeh

We study the formation of stable outcomes via simple dynamics in cardinal hedonic games, where the utilities of agents change over time depending on the history of the coalition formation process. Specifically, we analyze situations where…

Computer Science and Game Theory · Computer Science 2022-12-01 Niclas Boehmer , Martin Bullinger , Anna Maria Kerkmann

This paper develops a political-economy theory of statehood without capacity. I argue that under specific institutional and geopolitical conditions, a polity can become trapped in an equilibrium of nominal statehood: a state in which claims…

General Economics · Economics 2026-04-14 Rok Spruk

Dialogical argumentation is an important cognitive activity by which agents exchange arguments and counterarguments as part of some process such as discussion, debate, persuasion and negotiation. Whilst numerous formal systems have been…

Artificial Intelligence · Computer Science 2014-04-30 Anthony Hunter

Research in cooperative games often assumes that agents know the coalitional values with certainty, and that they can belong to one coalition only. By contrast, this work assumes that the value of a coalition is based on an underlying…

Computer Science and Game Theory · Computer Science 2018-04-17 Michalis Mamakos , Georgios Chalkiadakis

We survey the logical structure of constructive set theories and point towards directions for future research. Moreover, we analyse the consequences of being extensible for the logical structure of a given constructive set theory. We…

Logic · Mathematics 2022-12-07 Rosalie Iemhoff , Robert Passmann

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 introduce a two-sort weighted modal logic for possibilistic reasoning with fuzzy formal contexts. The syntax of the logic includes two types of weighted modal operators corresponding to classical necessity ($\Box$) and sufficiency…

Logic in Computer Science · Computer Science 2026-01-01 Prosenjit Howlader , Churn-Jung Liau

We address the relative expressiveness of defeasible logics in the framework DL. Relative expressiveness is formulated as the ability to simulate the reasoning of one logic within another logic. We show that such simulations must be…

Artificial Intelligence · Computer Science 2021-02-16 Michael Maher

Ranking individuals based on their performance in different coalitions is a problem emerging in various domains (teams sports, scientific evaluation, argumentation, etc.). Often, for practical reasons, the number of comparable coalitions is…

Theoretical Economics · Economics 2026-03-19 Takahiro Suzuki , Michele Aleandri , Stefano Moretti

To adequately model mathematical arguments the analyst must be able to represent the mathematical objects under discussion and the relationships between them, as well as inferences drawn about these objects and relationships as the…

Computation and Language · Computer Science 2018-07-17 Joseph Corneli , Ursula Martin , Dave Murray-Rust , Gabriela Rino Nesin , Alison Pease

Logics for knowledge representation suffer from over-specialization: while each logic may provide an ideal representation formalism for some problems, it is less than optimal for others. A solution to this problem is to choose from several…

Artificial Intelligence · Computer Science 2007-05-23 G. Antoniou , D. Billigton , G. Governatori , M. J. Maher

When multiple agents are engaged in a network of conflict, some can advance their competitive positions by forming alliances with each other. However, the costs associated with establishing an alliance may outweigh the potential benefits.…

Computer Science and Game Theory · Computer Science 2024-09-18 Vade Shah , Keith Paarporn , Jason R. Marden

We study the computational complexity of finding stable outcomes in hedonic games, which are a class of coalition formation games. We restrict our attention to symmetric additively-separable hedonic games, which are a nontrivial subclass of…

Computer Science and Game Theory · Computer Science 2015-09-18 Martin Gairing , Rahul Savani