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This paper explores stochastic control models in the context of decarbonization within the energy market. We study three progressively complex scenarios: (1) a single firm operating with two technologies-one polluting and one clean,(2)two…

General Finance · Quantitative Finance 2025-06-18 Benhao Du , Thomas Treillard , Francois Wang

With the popularity of mobile devices and development of computationally intensive applications, researchers are focusing on offloading computation to Mobile Edge Computing (MEC) server due to its high computational efficiency and low…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-03-01 Yuwei Li , Bo Yang , Hao Wu , Qiaoni Han , Cailian Chen , Xinping Guan

This paper characterizes optimal classification when individuals adjust their behavior in response to the classification rule. We model the interaction between a designer and a population as a Stackelberg game: the designer selects a…

Computer Science and Game Theory · Computer Science 2026-01-16 Elizabeth Maggie Penn , John W. Patty

The recent rise of renewable energy produced by many decentralized sources yields interesting market design challenges for electrical grids. Balancing supply and demand in such networks is both a temporal and spatial challenge due to…

Computer Science and Game Theory · Computer Science 2025-08-11 Simon Krogmann , Pascal Lenzner , Alexander Skopalik , Tobias Sträubig

The Stackelberg equilibrium solution concept describes optimal strategies to commit to: Player 1 (termed the leader) publicly commits to a strategy and Player 2 (termed the follower) plays a best response to this strategy (ties are broken…

Computer Science and Game Theory · Computer Science 2016-08-24 Branislav Bosansky , Simina Branzei , Kristoffer Arnsfelt Hansen , Peter Bro Miltersen , Troels Bjerre Sorensen

This paper formulates a Stackelberg game between a coordination agent and participating homes to control the overall load consumption of a residential neighborhood. Each home optimizes a comfort-cost trade off to determine a load schedule…

Optimization and Control · Mathematics 2024-01-30 Erhan Can Ozcan , Ioannis Ch. Paschalidis

In this work, we investigate a steering problem in a mediator-augmented two-player normal-form game, where the mediator aims to guide players toward a specific action profile through information and incentive design. We first characterize…

Computer Science and Game Theory · Computer Science 2025-09-01 Asrin Efe Yorulmaz , Raj Kiriti Velicheti , Melih Bastopcu , Tamer Başar

The data sponsored scheme allows the content provider to cover parts of the cellular data costs for mobile users. Thus the content service becomes appealing to more users and potentially generates more profit gain to the content provider.…

Computer Science and Game Theory · Computer Science 2017-11-06 Zehui Xiong , Shaohan Feng , Dusit Niyato , Ping Wang , Yang Zhang

The integration of distributed energy resources into transmission grid operations presents a complex challenge, particularly in the context of reactive power procurement for voltage support. This paper addresses this challenge by…

Optimization and Control · Mathematics 2025-08-13 Zhisen Jiang , Saverio Bolognani , Giuseppe Belgioioso

Existing methods for learning Stackelberg equilibria typically assume that the followers' (variational, generalized) Nash equilibrium is unique. However, in the presence of multiple equilibria, without a selection convention, the problem…

Optimization and Control · Mathematics 2026-04-30 Silvia Cianchi , Anibal Sanjab , Sergio Grammatico

Due to the ever-increasing popularity of ride-hailing services and the indisputable shift towards alternative fuel vehicles, the intersection of the ride-hailing market and smart electric mobility provides an opportunity to trade different…

Systems and Control · Electrical Eng. & Systems 2024-02-26 Marko Maljkovic , Gustav Nilsson , Nikolas Geroliminis

This paper studies a three party energy management problem in a user interactive smart community that consists of a large number of residential units (RUs) with distributed energy resources (DERs), a shared facility controller (SFC) and the…

Systems and Control · Computer Science 2014-02-25 Wayes Tushar , Bo Chai , Chau Yuen , David B. Smith , H. Vincent Poor

Wholesale price contracts are known to be associated with double marginalization effects, which prevents supply chains from achieving their true market share. In a dynamic setting under information asymmetry, these inefficiencies manifest…

Optimization and Control · Mathematics 2025-05-13 Madhu Dhiman , Atul Maurya , Veeraruna Kavitha , Priyank Sinha

In this paper, we rigorously study the problem of cost optimisation of hybrid (mixed) institutional incentives, which are a plan of actions involving the use of reward and punishment by an external decision-maker, for maximising the level…

Populations and Evolution · Quantitative Biology 2023-10-09 M. H. Duong , C. M. Durbac , T. A. Han

We introduce a non-zero-sum game between a government and a legislative body to study the optimal level of debt. Each player, with different time preferences, can intervene on the stochastic dynamics of the debt-to-GDP ratio via singular…

Optimization and Control · Mathematics 2024-11-05 Felix Dammann , Neofytos Rodosthenous , Stéphane Villeneuve

This paper studies a class of dynamic Stackelberg games under open-loop information structure with constrained linear agent dynamics and quadratic utility functions. We show two important properties for this class of dynamic Stackelberg…

Optimization and Control · Mathematics 2016-08-09 Sen Li , Wei Zhang , Jianming Lian , Karanjit Kalsi

In this paper, we discuss incentive design for hierarchical model predictive control (MPC) systems viewed as Stackelberg games. We consider a hierarchical MPC formulation where, given a lower-level convex MPC (LoMPC), the upper-level system…

Systems and Control · Electrical Eng. & Systems 2025-02-10 Akshay Thirugnanam , Koushil Sreenath

Strategic interaction in congested systems is commonly modelled using Stackelberg games, where competing leaders anticipate the behaviour of self-interested followers. A key limitation of existing models is that they typically ignore agents…

Multiagent Systems · Computer Science 2026-03-06 Niloofar Aminikalibar , Farzaneh Farhadi , Maria Chli

The Stackelberg game model, where a leader commits to a strategy and the follower best responds, has found widespread application, particularly to security problems. In the security setting, the goal is for the leader to compute an optimal…

Computer Science and Game Theory · Computer Science 2022-09-19 Sai Mali Ananthanarayanan , Christian Kroer

Stackelberg games are a classic example of bilevel optimization problems, which are often encountered in game theory and economics. These are complex problems with a hierarchical structure, where one optimization task is nested within the…

Computer Science and Game Theory · Computer Science 2013-07-25 Ankur Sinha , Pekka Malo , Anton Frantsev , Kalyanmoy Deb