This work studies the convergence properties of continuous-time fictitious play in potential games. It is shown that in almost every potential game and for almost every initial condition, fictitious play converges to a pure-strategy Nash equilibrium. We focus our study on the class of regular potential games; i.e., the set of potential games in which all Nash equilibria are regular. As byproduc...

A general class of adaptive process in games is developed, which significantly generalises weakened fictitious play (Van der Genugten, 2000) and includes several interesting fictitious-play-like processes as special cases. The general model is rigorously analysed using the best response differential inclusion, and shown to converge in games with the fictitious play property. Furthermore, a new ...

String theory requires additional degrees of freedom to maintain world–sheet reparameterisation invariance at the quantum level. These are often interpreted as extra dimensions, beyond the 4 space-time. I discuss a class of quasi-realistic string models in which all the untwisted geometrical moduli are projected out by GSO projections. In these models the extra dimensions are fictitious, and do...

The stop-signal paradigm is a popular method for examining response inhibition and impulse control in psychology, cognitive neuroscience, and clinical domains because it allows the estimation of the covert latency of the stop process: the stop-signal reaction time (SSRT). In three sets of simulations, we examined to what extent SSRTs that were estimated with the popular mean and integration met...

In this paper, an analysis of 3-dimensional problem using a fictitious domain method based on distributed Lagrange multiplier is discussed. Using this approach allows us to compute moving boundary problems successfully. First of all, how to use a fictitious domain method using navier stokes equations is explained. Next, incompressible viscous fluid around circular cylinder and ball are restrict...

Erythrocyte aggregation and dissociation play an important role in the determination of hemodynamical properties of blood flow inmicrocirculation.This paper intends to investigate the adhesion and dissociation kinetics of erythrocytes through computational modeling.The technique of immersed boundary-fictitious domain method has been applied to the study of erythrocyte aggregates traversing mode...

Fictitious play is a popular game-theoretic model of learning in games. However, it has received little attention in practical applications to large problems. This paper introduces two variants of fictitious play that are implemented in behavioural strategies of an extensive-form game. The first variant is a full-width process that is realization equivalent to its normal-form counterpart and th...