A selfish routing game is a simple model of selfish behaviors in networks. It is called that Braess’s paradox occurs in the selfish routing game if an equilibrium flow achieved by players’ selfish behaviors is not the optimal minimum latency flow. In order to make the minimum latency flow a Nash equilibrium, a marginal cost tax has been proposed. Braess graphs have also been proposed to discuss...

We consider a random financial network with large number of agents. The agents connect through credit instruments borrowed from each other or direct lending, and these create the liabilities. settlement debts various at end contract period can be expressed as solutions fixed point equations. Our first step is to derive (asymptotically), using recent result on population in which adapt one two a...

The inhomogeneous replicator equation is derived as the continuous time model for parallel first and second order autocatalytic replication of macromolecules in a flow reactor based on mass action kinetics. It is shown that the total concentration of replicating material determines the relative importance of the first order and the second order mechanism. A complete description of the dynamics ...

The dynamics of a network of autocatalytically replicating species in a continuously stirred tank reactor can be described by a replicator equation in the limit of small flux rates.

Abstract We present a new modelling framework combining replicator dynamics, the standard model of frequency dependent selection, with an age-structured population model. The allows for populations consisting competing strategies carried by individuals who change across their life cycle. Firstly discretization McKendrick von Foerster is derived. show that Euler–Lotka equation satisfied when rea...

In this paper, we show that replicator dynamics can be used as an exploratory analysis tool to detect subregions of cortical areas on the basis of the similarity between fMRI time series. As similarity measure, we propose to use canonical correlation, a multivariate extension to the typically employed Pearson's correlation coefficient. We applied the replicator process to data obtained from two...

This paper proposes a decentralized control scheme that mitigates floods in urban drainage systems (UDSs). First, we develop partitioning algorithm of the UDS relying on graph model system. Once this is done, design local controller for each partition based replicator dynamics (a set differential equations describes evolution population players involved strategic game). The nature proposed stra...