Optimal power flow (OPF) problems are focussing on the question how a power transmission network can be operated in the most economic way. The general aim in such scenarios is to optimize generator scheduling in order to meet consumption re-quirements, transmission constraints and to minimize...

We introduce a new class of cooperative games where the worth of a coalition depends on the behavior of other players and on the state of nature as well. we allow for coalitions to form both before and after the resolution of uncertainty, hence agreements must be stable against both types of...

A cooperative game theoretic framework is introduced to study the behavior of cooperating and competing electrical energy providers considering price-preference rational consumers. We analyze the interactions of generators in an idealized environment described by a DC load flow model where the...

The purpose of this paper is to introduce a novel family of games related to congested networks. Traffic routing has been extensively analyzed from the non-cooperative aspect. A common assumption is that each individual optimizes his route in the network selfishly. However looking at the same...

An electrical transmission network consists of producers, consumers and the power lines connecting them. We build an ideal (lossless) DC load flow model as a cooperative game over a graph with the producers and consumers located at the nodes, each described by a maximum supply or desired demand...