Multi-Layer Cournot-Congestion Model

Geopolitical instability, climate change and black swan events disrupt the trade logistics of resources around globe. Events such as unforeseen closure Suez Canal or cessation between some players due to wars embargos are examples this. The problem predicting local price under modification an underlying transport network unites elements game theory, theory theory. micro-economic Cournot oligopoly involves modelling economic actors rational attempting maximise profit. Under fixed conditions, analytical results can be found on equilibria. Similarly, layer analytically solved using techniques for selfish routing. Where layers linked together there is inter-layer feedback wherein attempt their utility. We looked at nature approach towards a new equilibrium this instantaneous change. In respect our findings indicate that benefit significantly from taking advantage non-simultaneous responses market rather than moving when uncoupled, both upper lower have concave utility curves meaning exist unique stable equilibria in cases. This leads multilayer model having non-unique which general solutions exist.