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We consider the classic principal-agent model of contract theory, in which a principal designs an outcome-dependent compensation scheme to incentivize an agent to take a costly and unobservable action. When all of the model…

Computer Science and Game Theory · Computer Science 2020-08-11 Paul Dütting , Tim Roughgarden , Inbal Talgam-Cohen

Many real-life contractual relations differ completely from the clean, static model at the heart of principal-agent theory. Typically, they involve repeated strategic interactions of the principal and agent, taking place under uncertainty…

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

We study the interdependence between transportation and power systems considering decentralized renewable generators and electric vehicles (EVs). We formulate the problem in a stochastic multi-agent optimization framework considering the…

Optimization and Control · Mathematics 2021-01-05 Zhaomiao Guo , Fatima Afifah , Junjian Qi , Sina Baghali

We study hidden-action principal-agent problems with multiple agents. These are problems in which a principal commits to an outcome-dependent payment scheme in order to incentivize some agents to take costly, unobservable actions that lead…

Computer Science and Game Theory · Computer Science 2023-02-01 Matteo Castiglioni , Alberto Marchesi , Nicola Gatti

We study Bayesian automated mechanism design in unstructured dynamic environments, where a principal repeatedly interacts with an agent, and takes actions based on the strategic agent's report of the current state of the world. Both the…

Computer Science and Game Theory · Computer Science 2021-05-14 Hanrui Zhang , Vincent Conitzer

We investigate the problem of persistently monitoring a finite set of targets with internal states that evolve with linear stochastic dynamics using a finite set of mobile agents. We approach the problem from the infinite-horizon…

Systems and Control · Electrical Eng. & Systems 2019-10-01 Samuel C. Pinto , Sean B. Andersson , Julien M. Hendrickx , Christos G. Cassandras

We present an algorithm to approximate the solutions to variational problems where set of admissible functions consists of convex functions. The main motivator behind this numerical method is estimating solutions to Adverse Selection…

Optimization and Control · Mathematics 2008-03-07 Ivar Ekeland , Santiago Moreno

This paper is concerned with a stochastic recursive optimal control problem with time delay, where the controlled system is described by a stochastic differential delayed equation (SDDE) and the cost functional is formulated as the solution…

Optimization and Control · Mathematics 2014-08-26 Jingtao Shi , Huanshui Zhang

This paper focuses on a class of inclusion problems of maximal monotone operators in a multi-agent network, where each agent is characterized by an operator that is not available to any other agents, but the agents can cooperate by…

Optimization and Control · Mathematics 2023-10-25 Kai Gong , Liwei Zhang

We propose a decentralized penalty method for general convex constrained multi-agent optimization problems. Each auxiliary penalized problem is solved approximately with a special parallel descent splitting method. The method can be…

Optimization and Control · Mathematics 2020-08-11 Igor Konnov

Crowdsourcing markets have emerged as a popular platform for matching available workers with tasks to complete. The payment for a particular task is typically set by the task's requester, and may be adjusted based on the quality of the…

Data Structures and Algorithms · Computer Science 2015-09-03 Chien-Ju Ho , Aleksandrs Slivkins , Jennifer Wortman Vaughan

In this paper, finite-time state consensus problems for continuous-time multi-agent systems are discussed, and two distributive protocols, which ensure that the states of agents reach an agreement in a finite time, are presented. By…

Dynamical Systems · Mathematics 2007-05-23 Long Wang , Feng Xiao

We consider the synthesis problem of a multi-agent system under signal temporal logic (STL) specifications representing bounded-time tasks that need to be satisfied recurrently over an infinite horizon. Motivated by the limited approaches…

Systems and Control · Electrical Eng. & Systems 2024-04-29 Eleftherios E. Vlahakis , Lars Lindemann , Dimos V. Dimarogonas

We study a constrained optimal control problem with possibly degenerate coefficients arising in models of optimal portfolio liquidation under market impact. The coefficients can be random in which case the value function is described by a…

Mathematical Finance · Quantitative Finance 2015-07-22 Ulrich Horst , Jinniao Qiu , Qi Zhang

We consider the primal and dual forms of the optimality conditions for PDE-contrained optimization problems arising in Data-Driven Computational Mechanics when specialized to the reaction-diffusion context. Starting with the continuous…

Numerical Analysis · Mathematics 2025-12-24 Ramon Codina , Roberto Federico Ausas , Pedro Balbão Bazon , Cristian Guillermo Gebhardt

We study an agency problem between a leader (the principal) seeking to design an optimal incentive scheme to a follower (the agent) to increase the value of a risky project subjected to accidents and volatility uncertainty. The agency…

Optimization and Control · Mathematics 2026-05-11 Thibaut Mastrolia , Haoze Yan

This paper considers the problem of multi-agent distributed optimization. In this problem, there are multiple agents in the system, and each agent only knows its local cost function. The objective for the agents is to collectively compute a…

Optimization and Control · Mathematics 2020-03-31 Kushal Chakrabarti , Nirupam Gupta , Nikhil Chopra

We consider stochastic model predictive control of a multi-agent systems with constraints on the probabilities of inter-agent collisions. We first study a sample-based approximation of the collision probabilities and use this approximation…

Systems and Control · Computer Science 2011-08-17 Daniel Lyons , Jan-P. Calliess , Uwe D. Hanebeck

We present a continuous-time contract whereby a top-level player can incentivize a hierarchy of players below him to act in his best interest despite only observing the output of his direct subordinate. This paper extends Sannikov's…

Optimization and Control · Mathematics 2015-11-25 Christopher W. Miller , Insoon Yang