On modeling disaster situations by using game theory

This thesis is about modeling disaster situations by using game theory. Firstly, research was conducted on disasters experienced in our country. Among these disasters, the ones we encounter most in our country are fires, earthquakes and floods. In this thesis, in order to create the most effective and economical response decisions in case of any disaster in our country, calculations have been made to ensure the evacuation of disaster victims to safe areas in the region and the management of emergency teams in the fastest and most economical way with game theory. Because, in general, game theory has the necessary tools to examine and solve such problems. This thesis also includes the application of game theory to some economics and operations research situations. In this thesis, studies were carried out on the mathematical calculation of disaster crisis management and presentation of solution methods within the framework of models applied to the scenarios created by using game theory. The actors in the scenarios are cities. Our country, surrounded by active earthquake zones, encounters severe and destructive earthquakes at regular intervals. Thus, an earthquake disaster that occurred in Van was taken as an example for our application and facility construction games, which are among the operations research games, were used to provide temporary housing to the earthquake victims after the earthquake. Here there is a cost given for the construction of a facility. This cost consists of both the distance of the organization to the facility and the construction of the facility. Here the total cost is minimized by game theory. In addition, due to changing climatic conditions, it is seen that flood disasters occur constantly in our country, not only in winter months but also in summer months. Therefore, a flood disaster that occurred in Kastamonu during the summer months was taken as an example for our application. In case a flood occurs again in Kastamonu, the regions where the flood occurred, Bozkurt, Küre and Pınarbaşı, were chosen as actors. Daday and Devrekani regions, which were chosen as post-flood gathering areas, were chosen as the most suitable place for the evacuation of disaster victims due to their proximity to the area where the flood occurred. Forest situations, one of the operations research games, were used to evacuate disaster victims in case of flood. By using game theory, calculations were made to ensure that disaster victims could reach these two gathering places from the shortest distance. On the other hand, our country is constantly on the agenda with fire news during the summer months. Antalya, which is very hot in the summer months and comes with fire news, was chosen as an example for our application. In the game, in case of a fire that could occur again in Antalya, fire extinguishing planes and helicopters with the capacity to carry different tons of water from İstanbul, İzmir and Ankara, which are chosen as the player, were used. Here, by using flow situations, it is aimed to carry the most water from three major cities to extinguish the fire in case of a fire in Antalya. These calculations were made using game theory solution methods. Finally, modeling of peer group situations with game theory is mentioned.