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We study a multi-agent contracting problem where agents exert costly effort to achieve individually observable binary outcomes. While the principal can theoretically extract the full social welfare using a discriminatory contract that…

Computer Science and Game Theory · Computer Science 2026-02-13 Johannes Brustle , Paul Duetting , Stefano Leonardi , Tomasz Ponitka , Matteo Russo

Many-to-many matching with contracts is studied in the framework of revealed preferences. All preferences are described by choice functions that satisfy natural conditions. Under a no-externality assumption individual preferences can be…

Computer Science and Game Theory · Computer Science 2020-03-05 Daniel Lehmann

In the classical principal-agent problem, a principal must design a contract to incentivize an agent to perform an action on behalf of the principal. We study the classical principal-agent problem in a setting where the agent can be of one…

Computer Science and Game Theory · Computer Science 2020-10-15 Guru Guruganesh , Jon Schneider , Joshua Wang

The paper proposes a bimodal logic that describes an interplay between distributed knowledge modality and coalition know-how modality. Unlike other similar systems, the one proposed here assumes perfect recall by all agents. Perfect recall…

Artificial Intelligence · Computer Science 2017-11-16 Pavel Naumov , Jia Tao

We present two main theorems along the lines of Lyapunov's second method that guarantee asymptotic state consensus in multi-agent systems of agents in R^m with switching interconnection topologies. The two theorems complement each other in…

Systems and Control · Computer Science 2014-04-02 Johan Thunberg , Xiaoming Hu

In delegation problems, a principal does not have the resources necessary to complete a particular task, so they delegate the task to an untrusted agent whose interests may differ from their own. Given any family of such problems and space…

Computer Science and Game Theory · Computer Science 2022-02-22 Curtis Bechtel , Shaddin Dughmi , Neel Patel

Modern engineering systems include many components of different types and functions. Verifying that these systems satisfy given specifications can be an arduous task, as most formal verification methods are limited to systems of moderate…

Systems and Control · Electrical Eng. & Systems 2021-04-21 Miel Sharf , Bart Besselink , Adam Molin , Qiming Zhao , Karl Henrik Johansson

G\"odel's Incompleteness Theorems suggest that no single formal system can capture the entirety of one's mathematical beliefs, while pointing at a hierarchy of systems of increasing logical strength that make progressively more explicit…

Logic · Mathematics 2023-04-25 Mateusz Łelyk , Carlo Nicolai

In this work we generalize standard Decision Theory by assuming that two outcomes can also be incomparable. Two motivating scenarios show how incomparability may be helpful to represent those situations where, due to lack of information,…

Computer Science and Game Theory · Computer Science 2014-04-04 Piero A. Bonatti , Marco Faella , Luigi Sauro

We consider multi-agent systems with cooperative interactions and study the convergence to consensus in the case of time-dependent connections, with possible communication failure. We prove a new condition ensuring consensus: we define a…

Optimization and Control · Mathematics 2025-09-03 Mohamed Bentaibi , Laura Caravenna , Jean-Paul A. Gauthier , Francesco Rossi

This paper studies contracting in the presence of externalities with a non-contractible outsider. Multiple equilibria arise from strategic symmetry between the insider agent and the outsider. To address strategic uncertainty, the principal…

Theoretical Economics · Economics 2025-09-09 Hongcheng Li

Blameworthiness of an agent or a coalition of agents is often defined in terms of the principle of alternative possibilities: for the coalition to be responsible for an outcome, the outcome must take place and the coalition should have had…

Artificial Intelligence · Computer Science 2019-03-28 Pavel Naumov , Jia Tao

Contract theory studies how a principal can incentivize agents to exert costly, unobservable effort through performance-based payments. While classical economic models provide elegant characterizations of optimal solutions, modern…

Computer Science and Game Theory · Computer Science 2025-10-20 Michal Feldman

In this paper, we propose several consensus protocols of the first and second order for networked multi-agent systems and provide explicit representations for their asymptotic states. These representations involve the eigenprojection of the…

Optimization and Control · Mathematics 2018-11-27 Rafig Agaev , Pavel Chebotarev

We use the notion of a promise to define local trust between agents possessing autonomous decision-making. An agent is trustworthy if it is expected that it will keep a promise. This definition satisfies most commonplace meanings of trust.…

Multiagent Systems · Computer Science 2009-12-24 Jan Bergstra , Mark Burgess

A theorem on (partial) convergence to consensus of multiagent systems is presented. It is proven with tools studying the convergence properties of products of row stochastic matrices with positive diagonals which are infinite to the left.…

Optimization and Control · Mathematics 2015-03-17 Jan Lorenz

This paper studies delegation in a model of discrete choice. In the delegation problem, an uninformed principal must consult an informed agent to make a decision. Both the agent and principal have preferences over the decided-upon action…

Computer Science and Game Theory · Computer Science 2024-06-25 Ali Khodabakhsh , Emmanouil Pountourakis , Samuel Taggart

We introduce several notions of reduction in distributed computing, and investigate reduction properties of two fundamental agreement tasks, namely Consensus and Atomic Commitment. We first propose the notion of reduction "a la Karp'', an…

Distributed, Parallel, and Cluster Computing · Computer Science 2007-05-23 Bernadette Charron-Bost

In the combinatorial-action contract model (D\"utting et al., FOCS'21) a principal delegates the execution of a complex project to an agent, who can choose any subset from a given set of actions. Each set of actions incurs a cost to the…

Computer Science and Game Theory · Computer Science 2025-11-27 Paul Dütting , Michal Feldman , Yoav Gal-Tzur , Aviad Rubinstein

This article presents a formal model demonstrating that genuine autonomy, the ability of a system to self-regulate and pursue objectives, fundamentally implies computational unpredictability from an external perspective. we establish…

Artificial Intelligence · Computer Science 2025-09-17 Poria Azadi