Traffic Networks Modeling Using Game Theory and Optimum Routing in GIS

One of the most important variables in modeling of traffic networks is the existing congestion in network routes. To apply a model that can help network users to decide to choose the best route، taking into account network congestion and having the necessary sensitivity to its changes will lead to better modeling of a traffic network. In this regard، the Game Theory (GT) has a lot of capabilities in modeling different issues such as transportation and traffic. Game theory with problem modeling in a form of a game tries to find solutions and analyze it. In other words، this theory can be known as the decision one that assists game players to make optimal decisions. In this research، a game model _ based on a normal form _ is designed and presented among present drivers in a traffic network، and optimum routes and the quality and circumstances of making balance in the traffic network are specified by solving and finding Nash equilibrium of the game. In the following، combining the results obtained from the game theory and Geographic Information System (GIS) provides a bed for network analysis، including optimum routing، so that decision makers can make the best decisions for better management and organization of traffic networks.