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We study assignment games in which jobs select machines, and in which certain pairs of jobs may conflict, which is to say they may incur an additional cost when they are both assigned to the same machine, beyond that associated with the…

Computer Science and Game Theory · Computer Science 2014-02-11 Elliot Anshelevich , John Postl , Tom Wexler

In routing games, the network performance at equilibrium can be significantly improved if we remove some edges from the network. This counterintuitive fact, widely known as Braess's paradox, gives rise to the (selfish) network design…

Computer Science and Game Theory · Computer Science 2012-07-24 Dimitris Fotakis , Alexis C. Kaporis , Thanasis Lianeas , Paul G. Spirakis

We consider team zero-sum network congestion games with $n$ agents playing against $k$ interceptors over a graph $G$. The agents aim to minimize their collective cost of sending traffic over paths in $G$, which is an aggregation of edge…

Computer Science and Game Theory · Computer Science 2024-05-14 Edan Orzech , Martin Rinard

We consider non-atomic network congestion games with heterogeneous players where the latencies of the paths are subject to some bounded deviations. This model encompasses several well-studied extensions of the classical Wardrop model which…

Computer Science and Game Theory · Computer Science 2017-07-06 Pieter Kleer , Guido Schäfer

In this paper, we study a routing and travel-mode choice problem for mobility systems with a multimodal transportation network as a ``mobility game" with coupled action sets. We develop a game-theoretic framework to study the impact on…

Computer Science and Game Theory · Computer Science 2022-12-15 Ioannis Vasileios Chremos , Andreas A. Malikopoulos

In multiplayer games, self-interested behavior among the players can harm the social welfare. Tax mechanisms are a common method to alleviate this issue and induce socially optimal behavior. In this work, we take the initial step of…

Computer Science and Game Theory · Computer Science 2025-01-16 Qiwen Cui , Maryam Fazel , Simon S. Du

Classical game theory is a powerful framework to analyze the strategic interactions among rational players. However, in many real-life scenarios, players choose actions based on their inherent natural tendencies rather than deliberate…

Optimization and Control · Mathematics 2026-02-03 Raghupati Vyas , Khushboo Agarwal , Konstantin Avrachenkov , Veeraruna Kavitha

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 consider the traffic assignment problem in nonatomic routing games where the players' cost functions may be subject to random fluctuations (e.g., weather disturbances, perturbations in the underlying network, etc.). We tackle this…

Computer Science and Game Theory · Computer Science 2022-01-11 Dong Quan Vu , Kimon Antonakopoulos , Panayotis Mertikopoulos

When people pick routes to minimize their travel time, the total experienced delay, or social cost, may be significantly greater than if people followed routes assigned to them by a social planner. This effect is accentuated when human…

Optimization and Control · Mathematics 2019-09-27 Daniel A. Lazar , Samuel Coogan , Ramtin Pedarsani

Congestion games constitute an important class of non-cooperative games which was introduced by Rosenthal in 1973. In recent years, several extensions of these games were proposed to incorporate aspects that are not captured by the standard…

Computer Science and Game Theory · Computer Science 2017-01-27 Pieter Kleer , Guido Schäfer

We propose a model of discrete time dynamic congestion games with atomic players and a single source-destination pair. The latencies of edges are composed by free-flow transit times and possible queuing time due to capacity constraints. We…

Computer Science and Game Theory · Computer Science 2019-01-03 Marco Scarsini , Marc Schröder , Tristan Tomala

We ask if it is possible to positively influence social behavior with no risk of unintentionally incentivizing pathological behavior. In network routing problems, if network traffic is composed of many individual agents, it is known that…

Computer Science and Game Theory · Computer Science 2019-11-25 Philip N. Brown , Jason R. Marden

When users access shared resources in a selfish manner, the resulting societal cost and perceived users' cost is often higher than what would result from a centrally coordinated optimal allocation. While several contributions in mechanism…

Computer Science and Game Theory · Computer Science 2024-03-08 Leonardo Pedroso , Andrea Agazzi , W. P. M. H. Heemels , Mauro Salazar

In this work we propose a macroscopic model for studying routing on networks shared between human-driven and autonomous vehicles that captures the effects of autonomous vehicles forming platoons. We use this to study inefficiency due to…

Optimization and Control · Mathematics 2018-09-06 Daniel A. Lazar , Sam Coogan , Ramtin Pedarsani

How can we design mechanisms to promote efficient use of shared resources? Here, we answer this question in relation to the well-studied class of atomic congestion games, used to model a variety of problems, including traffic routing.…

Computer Science and Game Theory · Computer Science 2021-03-12 Dario Paccagnan , Rahul Chandan , Bryce L Ferguson , Jason R Marden

Recent work on decision making and planning for autonomous driving has made use of game theoretic methods to model interaction between agents. We demonstrate that methods based on the Stackelberg game formulation of this problem are…

Computer Science and Game Theory · Computer Science 2021-03-11 Jack Geary , Subramanian Ramamoorthy , Henry Gouk

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

Semi-cooperative behaviors are intrinsic properties of human drivers and should be considered for autonomous driving. In addition, new autonomous planners can consider the social value orientation (SVO) of human drivers to generate…

Computation and Language · Computer Science 2023-10-02 Noam Buckman , Sertac Karaman , Daniela Rus

Road network junctions, such as merges and diverges, often act as bottlenecks that initiate and exacerbate congestion. More complex junction configurations lead to more complex driver behaviors, resulting in aggregate congestion patterns…

Computer Science and Game Theory · Computer Science 2019-04-18 Ruolin Li , Negar Mehr , Roberto Horowitz
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