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This paper addresses a central challenge of jointly considering shorter-term (e.g. hourly) and longer-term (e.g. yearly) uncertainties in power system planning with increasing penetration of renewable and storage resources. In conventional…

Systems and Control · Electrical Eng. & Systems 2021-09-13 Chao Yan , Xinbo Geng , Zhaohong Bie , Le Xie

We consider moral hazard problems where a principal has access to rich monitoring data about an agent's action. Rather than focusing on optimal contracts (which are known to in general be complicated), we characterize the optimal rate at…

Theoretical Economics · Economics 2024-07-04 Mira Frick , Ryota Iijima , Yuhta Ishii

In this paper we formulate a contract design problem where a primary license holder wishes to profit from its excess spectrum capacity by selling it to potential secondary users/buyers. It needs to determine how to optimally price the…

Computational Engineering, Finance, and Science · Computer Science 2012-07-30 Shang-Pin Sheng , Mingyan Liu

In a framework close to the one developed by Holmstr\"om and Milgrom [44], we study the optimal contracting scheme between a Principal and several Agents. Each hired Agent is in charge of one project, and can make efforts towards managing…

Economics · Quantitative Finance 2016-05-27 Romuald Elie , Dylan Possamaï

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

We address the problem to control a population of noncooperative heterogeneous agents, each with convex cost function depending on the average population state, and all sharing a convex constraint, towards an aggregative equilibrium. We…

Optimization and Control · Mathematics 2017-03-14 Sergio Grammatico

We are considering the problem of optimal portfolio delegation between an investor and a portfolio manager under a random default time. We focus on a novel variation of the Principal-Agent problem adapted to this framework. We address the…

Mathematical Finance · Quantitative Finance 2024-10-18 Alberto Gennaro , Thibaut Mastrolia

We consider a general formulation of the random horizon Principal-Agent problem with a continuous payment and a lump-sum payment at termination. In the European version of the problem, the random horizon is chosen solely by the principal…

Optimization and Control · Mathematics 2022-02-11 Yiqing Lin , Zhenjie Ren , Nizar Touzi , Junjian Yang

Owing to large industrial energy consumption, industrial production has brought a huge burden to the grid in terms of renewable energy access and power supply. Due to the coupling of multiple energy sources and the uncertainty of renewable…

Systems and Control · Electrical Eng. & Systems 2022-02-14 Dafeng Zhu , Bo Yang , Yuxiang Liu , Zhaojian Wang , Kai Ma , Xinping Guan

Traditional software relies on contracts -- APIs, type systems, assertions -- to specify and enforce correct behavior. AI agents, by contrast, operate on prompts and natural language instructions with no formal behavioral specification.…

Artificial Intelligence · Computer Science 2026-02-27 Varun Pratap Bhardwaj

We present assume-guarantee contracts for continuous-time linear dynamical systems with inputs and outputs. These contracts are used to express specifications on the dynamic behaviour of a system. Contrary to existing approaches, we use…

Dynamical Systems · Mathematics 2022-09-07 B. M. Shali , H. M. Heidema , A. J. van der Schaft , B. Besselink

Collaborative machine learning (CML) provides a promising paradigm for democratizing advanced technologies by enabling cost-sharing among participants. However, the potential for rent-seeking behaviors among parties can undermine such…

Machine Learning · Computer Science 2025-01-03 Bingchen Wang , Zhaoxuan Wu , Fusheng Liu , Bryan Kian Hsiang Low

Contracts and contract monitoring are a powerful mechanism for specifying properties and guaranteeing them at run time. However, run time monitoring of contracts imposes a significant overhead. The execution time is impacted by the…

Programming Languages · Computer Science 2017-03-31 Matthias Keil , Peter Thiemann

We consider discrete-time dynamics, for cascading failure in DC networks, whose map is composition of failure rule with control actions. Supply-demand at the nodes is monotonically non-increasing under admissible control. Under the failure…

Systems and Control · Computer Science 2018-03-21 Qin Ba , Ketan Savla

In this paper, we consider a stochastic recursive optimal control problem under model uncertainty. In this framework, the cost function is described by solutions of a family of backward stochastic differential equations. With the help of…

Probability · Mathematics 2020-04-16 Mingshang Hu , Falei Wang

Long-duration energy storage (LDES) faces significant revenue volatility that impedes investment. This paper evaluates four contract-based support mechanisms using an equilibrium model with risk-averse investors and incomplete risk markets.…

Systems and Control · Electrical Eng. & Systems 2026-05-19 Adam Suski , Elina Spyrou , Jacob Mays , Richard Green

Combinatorial contracts are emerging as a key paradigm in algorithmic contract design, paralleling the role of combinatorial auctions in algorithmic mechanism design. In this paper we study natural combinatorial contract settings involving…

Computer Science and Game Theory · Computer Science 2024-05-15 Paul Duetting , Tomer Ezra , Michal Feldman , Thomas Kesselheim

Integrating renewable energy into the power grid requires intelligent risk-aware dispatch accounting for the stochastic availability of renewables. Toward achieving this goal, a robust DC optimal flow problem is developed in the present…

Optimization and Control · Mathematics 2013-10-29 Yu Zhang , Georgios B. Giannakis

In this article we study an optimal stopping/optimal control problem which models the decision facing a risk-averse agent over when to sell an asset. The market is incomplete so that the asset exposure cannot be hedged. In addition to the…

Portfolio Management · Quantitative Finance 2008-12-10 Vicky Henderson , David Hobson

This paper proposes an accelerated consensus-based distributed iterative algorithm for resource allocation and scheduling. The proposed gradient-tracking algorithm introduces an auxiliary variable to add momentum towards the optimal state.…

Systems and Control · Electrical Eng. & Systems 2025-03-11 Mohammadreza Doostmohammadian , Zulfiya R. Gabidullina , Hamid R. Rabiee
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