Nonlinear Barabási–Albert network

Nonlinear Network Dynamics

Earthquake faults occur in networks that have dynamical modes not displayed by single isolated faults. Using simulations of the network of strike-slip faults in southern California, we find that the physics depends critically on both the interactions among the faults, which are determined by the geometry of the fault network, as well as on the stress dissipation properties of the nonlinear fric...

Network competition in nonlinear pricing

Previous research, assuming linear pricing, has argued that telecommunications networks may use a high access charge as an instrument of collusion. I show that this conclusion is difficult to maintain when operators compete in nonlinear pricing: (i) As long as subscription demand is inelastic, profits can remain independent of the access charge, even when customers are heterogeneous and network...

Transmission Network Reduction Method using Nonlinear Optimization

This paper presents a new method to determine the susceptances of a reduced transmission network representation by using nonlinear optimization. We use Power Transfer Distribution Factors (PTDFs) to convert the original grid into a reduced version, from which we determine the susceptances. From our case studies we find that considering a reduced injectionindependent evaluated PTDF matrix is the...

Network effects, nonlinear pricing and entry deterrence

A number of products that display positive network effects are used in variable quantities by heterogeneous customers. Examples include corporate operating systems, infrastructure software, web services and networking equipment. In many of these contexts, the magnitude of network effects are influenced by gross consumption, rather than simply by user base. Moreover, the value an individual cust...

Numerical Implementation and Computationalresults of Nonlinear Network