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This paper addresses the problem of collaboratively satisfying long-term spatial constraints in multi-agent systems. Each agent is subject to spatial constraints, expressed as inequalities, which may depend on the positions of other agents…

Systems and Control · Electrical Eng. & Systems 2026-03-23 Farhad Mehdifar , Mani H. Dhullipalla , Charalampos P. Bechlioulis , Dimos V. Dimarogonas

We propose a pseudo-market solution to resource allocation problems subject to constraints. Our treatment of constraints is general: including bihierarchical constraints due to considerations of diversity in school choice, or scheduling in…

Theoretical Economics · Economics 2020-11-09 Federico Echenique , Antonio Miralles , Jun Zhang

Selecting a set of alternatives based on the preferences of agents is an important problem in committee selection and beyond. Among the various criteria put forth for the desirability of a committee, Pareto optimality is a minimal and…

Computer Science and Game Theory · Computer Science 2018-03-20 Haris Aziz , Jerome Lang , Jerome Monnot

We study a generic principal-agent problem in continuous time on a finite time horizon. We introduce a framework in which the agent is allowed to employ measure-valued controls and characterise the continuation utility as a solution to a…

Probability · Mathematics 2025-12-01 Daniel Kršek , Dylan Possamaï

We consider a moral hazard problem with multiple principals in a continuous-time model. The agent can only work exclusively for one principal at a given time, so faces an optimal switching problem. Using a randomized formulation, we manage…

Probability · Mathematics 2022-09-14 Kaitong Hu , Zhenjie Ren , Junjian Yang

We present distributed algorithms that can be used by multiple agents to align their estimates with a particular value over a network with time-varying connectivity. Our framework is general in that this value can represent a consensus…

Optimization and Control · Mathematics 2010-04-20 Angelia Nedić , Asuman Ozdaglar , Pablo A. Parrilo

Traditional approaches to the design of multi-agent navigation algorithms consider the environment as a fixed constraint, despite the influence of spatial constraints on agents' performance. Yet hand-designing conducive environment layouts…

Systems and Control · Electrical Eng. & Systems 2023-05-22 Zhan Gao , Amanda Prorok

The many-to-one stable matching problem provides the fundamental abstraction of several real-world matching markets such as school choice and hospital-resident allocation. The agents on both sides are often referred to as residents and…

Computational Complexity · Computer Science 2022-05-04 Federico Bobbio , Margarida Carvalho , Andrea Lodi , Alfredo Torrico

In the classical principal-agent hidden-action contract model, a principal delegates the execution of a costly task to an agent. In order to complete the task, the agent chooses an action from a set of actions, where each potential action…

Computer Science and Game Theory · Computer Science 2025-11-27 Tomer Ezra , Stefano Leonardi , Matteo Russo

In this paper we consider a principal agent problem where the agent is allowed to quit, by incurring a cost. When the current agent quits the job, the principal will hire a new one, possibly with a different type. We characterize the…

Optimization and Control · Mathematics 2024-09-04 Jianfeng Zhang , Zimu Zhu

We consider a continuous time Principal-Agent model on a finite time horizon, where we look for the existence of an optimal contract both parties agreed on. Contrary to the main stream, where the principal is modelled as risk-neutral, we…

Optimization and Control · Mathematics 2018-06-06 Kerem Ugurlu

In this paper, we address three Principal--Agent problems in a moral hazard context and show that they are connected. We start by studying the problem of Principal with multiple Agents in cooperation. The term cooperation is manifested here…

Optimization and Control · Mathematics 2024-10-23 Mao Fabrice Djete

In this paper, we study moral hazard problems in contract theory by adding an exogenous Planner to manage the actions of Agents hired by a Principal. We provide conditions ensuring that Pareto optima exist for the Agents using the…

Optimization and Control · Mathematics 2017-06-06 Thibaut Mastrolia

Multi-agent systems (MAS) composed of large language models often exhibit improved problem-solving performance despite operating on identical information. In this work, we provide a formal explanation for this phenomenon grounded in…

Computation and Language · Computer Science 2026-01-22 Christopher Scofield

We study hidden-action principal-agent problems with multiple agents. Unlike previous work, we consider a general setting in which each agent has an arbitrary number of actions, and the joint action induces outcomes according to an…

Computer Science and Game Theory · Computer Science 2024-02-22 Federico Cacciamani , Martino Bernasconi , Matteo Castiglioni , Nicola Gatti

We introduce a new model of combinatorial contracts in which a principal delegates the execution of a costly task to an agent. To complete the task, the agent can take any subset of a given set of unobservable actions, each of which has an…

Computer Science and Game Theory · Computer Science 2025-09-03 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

Regulatory and contractual constraints on individual exposures are standard in insurance and reinsurance markets, but a poorly designed constraint can distort the economic incentives of risk-averse agents. In the unconstrained problem, the…

Theoretical Economics · Economics 2026-04-28 Christopher Blier-Wong , Jean-Gabriel Lauzier

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

We consider two kind of energy constraints when the output state is a coherent state. One is a constraint on the total energy during a fixed period; the other is a constraint on the total energy for a single code. The first setting can be…

Quantum Physics · Physics 2011-06-24 Masahito Hayashi

We present an optimization framework that solves constrained multi-agent optimization problems while keeping each agent's state differentially private. The agents in the network seek to optimize a local objective function in the presence of…

Optimization and Control · Mathematics 2017-08-29 Matthew Hale , Magnus Egerstedt