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Under the Markov decision process (MDP) congestion game framework, we study the problem of enforcing population distribution constraints on a population of players with stochastic dynamics and coupled congestion costs. Existing research…

Computer Science and Game Theory · Computer Science 2022-08-16 Sarah H. Q. Li , Yue Yu , Nicolas Miguel , Dan Calderone , Lillian J. Ratliff , Behcet Acikmese

Self-interested behavior in sharing economies often leads to inefficient aggregate outcomes compared to a centrally coordinated allocation, ultimately harming users. Yet, centralized coordination removes individual decision power. This…

Computer Science and Game Theory · Computer Science 2026-03-20 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

Inspired by the path coordination problem arising from robo-taxis, warehouse management, and mixed-vehicle routing problems, we model a group of heterogeneous players responding to stochastic demands as a congestion game under Markov…

Multiagent Systems · Computer Science 2022-07-06 Sarah H. Q. Li , Dan Calderone , Behcet Acikmese

This paper studies the routing and charging behaviors of electric vehicles in a competitive ride-hailing market. When the vehicles are idle, they can choose whether to continue cruising to search for passengers, or move a charging station…

Systems and Control · Electrical Eng. & Systems 2023-09-12 Kenan Zhang , John Lygeros

Are rewards or penalties more effective in influencing user behavior? This work compares the effectiveness of subsidies and tolls in incentivizing user behavior in congestion games. The predominantly studied method of influencing user…

Computer Science and Game Theory · Computer Science 2022-04-15 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

We analyze the behavior of a large number of strategic drivers traveling over an urban traffic network using the mean-field game framework. We assume an incentive mechanism for congestion mitigation under which each driver selecting a…

Optimization and Control · Mathematics 2018-08-17 Takashi Tanaka , Ehsan Nekouei , Karl Henrik Johansson

Markov decision processes (MDPs) are used to model a wide variety of applications ranging from game playing over robotics to finance. Their optimal policy typically maximizes the expected sum of rewards given at each step of the decision…

Machine Learning · Computer Science 2025-05-26 Maximilian Nägele , Jan Olle , Thomas Fösel , Remmy Zen , Florian Marquardt

Congestion pricing has become an effective instrument for traffic demand management on road networks. This paper proposes an optimal control approach for congestion pricing for day-to-day timescale that incorporates demand uncertainty and…

Systems and Control · Computer Science 2019-07-23 Hemant Gehlot , Harsha Honnappa , Satish V. Ukkusuri

Congestion games model a wide variety of real-world resource congestion problems, such as selfish network routing, traffic route guidance in congested areas, taxi fleet optimization and crowd movement in busy areas. However, existing…

Computer Science and Game Theory · Computer Science 2012-10-19 Asrar Ahmed , Pradeep Varakantham , Shih-Fen Cheng

Graph games are fundamental in strategic reasoning of multi-agent systems and their environments. We study a new family of graph games which combine stochastic environmental uncertainties and auction-based interactions among the agents,…

Computer Science and Game Theory · Computer Science 2024-12-30 Guy Avni , Martin Kurečka , Kaushik Mallik , Petr Novotný , Suman Sadhukhan

Congestion game is a widely used model for modern networked applications. A central issue in such applications is that the selfish behavior of the participants may result in resource overloading and negative externalities for the system…

Systems and Control · Electrical Eng. & Systems 2020-02-17 Ezra Tampubolon , Haris Ceribasic , Holger Boche

We consider a typical problem in Mean Field Games: the congestion case, where in the cost that agents optimize there is a penalization for passing through zones with high density of agents, in a deterministic framework. This equilibrium…

Analysis of PDEs · Mathematics 2011-11-04 Filippo Santambrogio

We consider a non-atomic congestion game where each decision maker performs selfish optimization over states of a common MDP. The decision makers optimize for their own expected costs, and influence each other through congestion effects on…

Computer Science and Game Theory · Computer Science 2021-12-14 Sarah H. Q. Li , Daniel Calderone , Lillian Ratliff , Behcet Acikmese

Are rewards or penalties more effective in influencing user behavior? This work compares the effectiveness of subsidies and tolls in incentivizing users in congestion games. The predominantly studied method of influencing user behavior in…

Computer Science and Game Theory · Computer Science 2019-10-08 Bryce L. Ferguson , Philip N. Brown , Jason R. Marden

In this work, we study discrete-time Markov decision processes (MDPs) under constraints with Borel state and action spaces and where all the performance functions have the same form of the expected total reward (ETR) criterion over the…

Probability · Mathematics 2019-05-10 F. Dufour , Alexandre Genadot

We consider two-player stochastic games played on a finite graph for infinitely many rounds. Stochastic games generalize both Markov decision processes (MDP) by adding an adversary player, and two-player deterministic games by adding…

Computer Science and Game Theory · Computer Science 2022-02-28 Laurent Doyen

We introduce an atomic congestion game with two types of agents, cars and trucks, to model the traffic flow on a road over various time intervals of the day. Cars maximize their utility by finding a trade-off between the time they choose to…

Computer Science and Game Theory · Computer Science 2014-01-22 Farhad Farokhi , Karl H. Johansson

In this paper, we consider reinforcement learning of Markov Decision Processes (MDP) with peak constraints, where an agent chooses a policy to optimize an objective and at the same time satisfy additional constraints. The agent has to take…

Optimization and Control · Mathematics 2019-12-09 Ather Gattami

This paper proposes a dynamic congestion pricing model that takes into account mobile source emissions. We consider a tollable vehicular network where the users selfishly minimize their own travel costs, including travel time, early/late…

Optimization and Control · Mathematics 2013-04-30 Ke Han , Terry L. Friesz , Hongcheng Liu , Tao Yao

We are interested in risk constraints for infinite horizon discrete time Markov decision processes (MDPs). Starting with average reward MDPs, we show that increasing concave stochastic dominance constraints on the empirical distribution of…

Optimization and Control · Mathematics 2012-06-21 William B. Haskell , Rahul Jain
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