What is it about?
We consider games for networked systems, where the players act through boundary control action at the boundary nodes of the network graph. We show that for a star-shaped graph a unique Nash equilibrium exists for quadratic objective functions.
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Why is it important?
In gas pipeline network, the players act as customers or gas suppliers through the boundary of the network where they act on the states at the input nodes and the output nodes. The TSO has the task to assign feasible set (booking capacities) to the players in such a way that the operation of the system remains stable. Models from game theory help to understand the situation.
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This page is a summary of: Dynamic boundary control games with networks of strings, ESAIM Control Optimisation and Calculus of Variations, October 2018, EDP Sciences, DOI: 10.1051/cocv/2017082.
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