We investigate the dynamics of two-strategy replicator equations in which competition between strategies is delayed by a given time interval T . Taking T as a bifurcation parameter, we demonstrateâ€¦ (More)

We investigate the dynamics of three-strategy (rockâ€“paperâ€“scissors) replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval Tâ€¦ (More)

Delay or queue length information has the potential to influence the decision of a customer to use a service system. Thus, it is imperative for service system managers to understand how theâ€¦ (More)

Delay or queue length information has the potential to influence the decision of a customer to join a queue. Thus, it is imperative for managers of queueing systems to understand how the informationâ€¦ (More)

Many service systems provide queue length information to customers thereby allowing customers to choose among many options of service. However, queue length information is often delayed and is oftenâ€¦ (More)

Understanding how delayed information impacts queueing systems is an important area of research. However, much of the current literature neglects one important feature of many queueing systems,â€¦ (More)

We investigate the dynamics of two-strategy replicator equations in which the fitness of each strategy is a function of the population frequencies delayed by a time interval T . We analyze twoâ€¦ (More)

Models of evolutionary dynamics are often approached via the replicator equation, which in its standard form is given by áº‹i = xi ( fi (x)âˆ’Ï†) , i = 1, . . . ,n, where xi is the frequency, or relativeâ€¦ (More)

Evolutionary dynamics combines game theory and nonlinear dynamics to model competition in biological and social situations. The replicator equation is a standard paradigm in evolutionary dynamics.â€¦ (More)