The survival probability of biased time dependent random walkers were investigated. It was found that the anticorrelation between the charactersitic lifetime and the oscillations amplitude were independent of the period of the oscillations. It was also found that the amplitude and period of these oscillations depend on the various parameters such as the price-to-fine ratio. The winning probabilities of the agents displays a periodic behavior in time, which implies that the survival probabilities of the agents are well described by a model of a periodic time-dependent random walk with an absorbing boundary.
|Journal||Physical Review E - Statistical, Nonlinear, and Soft Matter Physics|
|Issue number||1 2|
|State||Published - Jul 2004|