On Dynamical Cournot Game on a Graph
E. Ahmed, M. I. Shehata, H. A. A. El-Saka
TL;DR
This paper investigates the stability of a dynamical Cournot game modeled on a graph, applying it to natural gas transmission using prisoner's dilemma to analyze strategic interactions.
Contribution
It introduces a graph-based dynamical Cournot model and analyzes its stability, applying game theory to natural gas transmission scenarios.
Findings
System stability conditions are derived.
Prisoner's dilemma effectively models strategic interactions in gas transmission.
Insights into strategic behavior in networked markets.
Abstract
Cournot dynamical game is studied on a graph. The stability of the system is studied. Prisoner's dilemma game is used to model natural gas transmission.
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Taxonomy
TopicsMathematical and Theoretical Epidemiology and Ecology Models · Mathematical Biology Tumor Growth · Evolutionary Game Theory and Cooperation