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...

The newest outcome of bilateral monopoly (BM) of lignite opencast mine & power plant analysis have been discussed. The determinism of optimal solution maximising joint profits not only in quantity of lignite - the size and shape of the ultimate pit (characteristic to classical solution) but also...

The newest findings in analysis of bilateral monopoly (BM) of lignite opencast mine & power plant have been discussed. The determinism of optimal solution not only in quantity of lignite (the size and shape of the ultimate pit) but also in its price has been depicted. It has been proposed to...

For the hypothetical deposit with parameters similar to KWB “Konin” S.A. conditions; lignite prices and proposed divisions are calculated and results were discussed under the angle of the fairness (equity) of the division and the possibility of their approval by both sides. A sensitivity...

For methods of the profit division in the bilateral monopoly of the mine and the power station sug-gested in the first part of this paper the formulae for lignite price and shares in the joint profit of the mine and the power station are calculated. The proposed profit division contain: the...

The application of Nash bargaining solution to profit division in negotiation between opencast lignite mine and power plant has been discussed. Different proposals of status quo point usage and ways of its determination for profit sharing both in strategic and tactical/operational negotiation...