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The Informational Braess' Paradox (IBP) illustrates a counterintuitive scenario where revelation of additional roadway segments to some self-interested travelers leads to increased travel times for these individuals. IBP extends the…

Computer Science and Game Theory · Computer Science 2025-04-22 Xujin Chen , Xiaodong Hu , Xinqi Jing , Zhongzheng Tang

The classical network configuration introduced by Braess in 1968 is of fundamental significance because Valiant and Roughgarden showed in 2006 that `the "global" behaviour of an equilibrium flow in a large random network is similar to that…

Combinatorics · Mathematics 2012-07-16 Vadim Zverovich , Erel Avineri

We consider network models where information items flow %are sent from a source to a sink node. We start with a model where routing is constrained by energy available on nodes in finite supply (like in Smartdust) and efficiency is related…

Discrete Mathematics · Computer Science 2024-05-24 Pietro Cenciarelli , Daniele Gorla , Ivano Salvo

The inefficiency of the Wardrop equilibrium of nonatomic routing games can be eliminated by placing tolls on the edges of a network so that the socially optimal flow is induced as an equilibrium flow. A solution where the minimum number of…

Computer Science and Game Theory · Computer Science 2015-09-29 Soumya Basu , Thanasis Lianeas , Evdokia Nikolova

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

The co-evolution between network structure and functional performance is a fundamental and challenging problem whose complexity emerges from the intrinsic interdependent nature of structure and function. Within this context, we investigate…

Neural and Evolutionary Computing · Computer Science 2016-05-10 Daniel R. Figueiredo , Michele Garetto

A Mathematical Program with Equilibrium Constraints (MPEC) is formulated to capture the relationships between multiple Mobility Service Providers (MSPs) and the users of a multi-modal transport network. The network supply structure is…

Computer Science and Game Theory · Computer Science 2023-05-24 Claudia Bandiera , Richard D. Connors , Francesco Viti

A recent body of experimental literature has studied empirical game-theoretical analysis, in which we have partial knowledge of a game, consisting of observations of a subset of the pure-strategy profiles and their associated payoffs to…

Computer Science and Game Theory · Computer Science 2014-02-13 John Fearnley , Martin Gairing , Paul Goldberg , Rahul Savani

We study a network formation game where nodes wish to send traffic to other nodes. Nodes can contract bilaterally other nodes to form bidirectional links as well as nodes can break unilaterally contracts to eliminate the corresponding…

Computer Science and Game Theory · Computer Science 2012-03-27 Carme Àlvarez , Aleix Fernàndez

In this paper we propose a dynamic Stackelberg game-theoretic model for urban freight transportation planning which is able to characterize the interaction between freight and personal transportation in an urban area. The problem is…

Optimization and Control · Mathematics 2012-11-21 Bo Zhang , Tao Yao , Terry L. Friesz , Hongcheng Liu

We initiate the study of congestion games with variable demands where the (variable) demand has to be assigned to exactly one subset of resources. The players' incentives to use higher demands are stimulated by non-decreasing and concave…

Computer Science and Game Theory · Computer Science 2010-12-14 Tobias Harks , Max Klimm

We investigate the dynamics of Q-learning in a class of generalized Braess paradox games. These games represent an important class of network routing games where the associated stage-game Nash equilibria do not constitute social optima. We…

Theoretical Economics · Economics 2025-02-27 Cesare Carissimo , Jan Nagler , Heinrich Nax

The Parrondo's paradox is a counterintuitive phenomenon in which individually losing strategies, canonically termed game A and game B, are combined to produce winning outcomes. In this paper, a co-evolution of game dynamics and network…

Physics and Society · Physics 2019-10-11 Ye Ye , Xiao Rong Hang , Jin Ming Koh , Jarosław Adam Miszczak , Kang Hao Cheong , Neng-gang Xie

We consider a largely untapped potential for the improvement of traffic networks that is rooted in the inherent uncertainty of travel times. Travel times are subject to stochastic uncertainty resulting from various parameters such as…

Computer Science and Game Theory · Computer Science 2025-10-22 Svenja M. Griesbach , Martin Hoefer , Max Klimm , Tim Koglin

In routing games, agents pick their routes through a network to minimize their own delay. A primary concern for the network designer in routing games is the average agent delay at equilibrium. A number of methods to control this average…

Computer Science and Game Theory · Computer Science 2013-11-12 Umang Bhaskar , Katrina Ligett , Leonard J. Schulman

We study a novel approach to information design in the standard traffic model of network congestion games. It captures the natural condition that the demand is unknown to the users of the network. A principal (e.g., a mobility service)…

Computer Science and Game Theory · Computer Science 2023-10-13 Svenja M. Griesbach , Martin Hoefer , Max Klimm , Tim Koglin

We consider optimal control of a stochastic network,where service is controlled to prevent buffer overflow. We use a risk-sensitive escape time criterion, which in comparison to the ordinary escape time criteria heavily penalizes exits…

Probability · Mathematics 2007-05-23 Rami Atar , Paul Dupuis , Adam Shwartz

How is efficiency affected when demand excesses over supply are signalled through waiting in queues? We consider a class of congestion games with a nonatomic set of players of a constant mass, based on a formulation of generic linear…

Computer Science and Game Theory · Computer Science 2020-11-18 Costas Courcoubetis , Antonis Dimakis

We consider multi-player games played on graphs, in which the players aim at fulfilling their own (not necessarily antagonistic) objectives. In the spirit of evolutionary game theory, we suppose that the players have the right to repeatedly…

Computer Science and Game Theory · Computer Science 2019-10-04 Thomas Brihaye , Gilles Geeraerts , Marion Hallet , Benjamin Monmege , Bruno Quoitin

We show that computing an equilibrium in atomic splittable congestion games with player-specific affine cost functions $l_{e,i}(x) = a_{e,i} x + b_{e,i}$ is $\mathsf{PPAD}$-complete. To prove that the problem is contained in…

Computer Science and Game Theory · Computer Science 2020-01-20 Max Klimm , Philipp Warode