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ISSAC
2005
Springer
70views Mathematics» more  ISSAC 2005»
15 years 7 months ago
Approximation of dynamical systems using s-systems theory: application to biological systems
In this article we propose a new symbolic-numeric algorithm to find positive equilibria of a n-dimensional dynamical system. This algorithm uses a symbolic manipulation of ODE in...
Laurent Tournier
SAGT
2010
Springer
127views Game Theory» more  SAGT 2010»
14 years 11 months ago
On the Rate of Convergence of Fictitious Play
Fictitious play is a simple learning algorithm for strategic games that proceeds in rounds. In each round, the players play a best response to a mixed strategy that is given by the...
Felix Brandt, Felix A. Fischer, Paul Harrenstein
CDC
2009
IEEE
118views Control Systems» more  CDC 2009»
15 years 6 months ago
Nash equilibrium problems with congestion costs and shared constraints
Abstract— Generalized Nash equilibria (GNE) represent extensions of the Nash solution concept when agents have shared strategy sets. This generalization is particularly relevant ...
Huibing Yin, Uday V. Shanbhag, Prashant G. Mehta
MST
2010
110views more  MST 2010»
14 years 12 months ago
Facets of the Fully Mixed Nash Equilibrium Conjecture
In this work, we continue the study of the many facets of the Fully Mixed Nash Equilibrium Conjecture, henceforth abbreviated as the FMNE Conjecture, in selfish routing for the s...
Rainer Feldmann, Marios Mavronicolas, Andreas Pier...
AAAI
2010
15 years 1 months ago
Beyond Equilibrium: Predicting Human Behavior in Normal-Form Games
It is standard in multiagent settings to assume that agents will adopt Nash equilibrium strategies. However, studies in experimental economics demonstrate that Nash equilibrium is...
James R. Wright, Kevin Leyton-Brown