Stability of Non-Cooperative Load Balancing with Time-Varying Latency

The problem of non-cooperative load balancing arises in multi-agent scenarios where users/services compete for some limited resources. This study, leveraging on results from set stability and switched systems control theory, analyses the convergence properties of a class of load-balancing strategies towards a set of approximated non-cooperative equilibria in a scenario in which the performance of the resource providers is described by a time-varying latency function.