Abstract:

In the study, game theory is explained in general terms. In this context, firstly, general information about game theory and the emergence of game theory as a scientific discipline on the stage of history are explored. Cooperative game theory is used in the study. In addition, Shapley value and -value, which are important solution methods of cooperative game theory, are examined. In the study, the minimum cost spanning tree situations are discussed. In this context, the application areas of minimum cost spanning tree games (MCST) are mentioned and the problem of finding minimum cost spanning tree is explained with the help of an example. In the event of a disaster, an application is made to determine the connection between gathering areas and temporary shelter areas by game theory. The application is carried out in Isparta province. The aim of the study is to determine the connection between the gathering areas where individuals would feel safe after the disaster and the temporary shelter area they would settle after using game theory. The solution method that the disaster victims in the gathering areas should choose is determined. It is concluded that the Shapley value solution is a suitable solution for all three gathering areas. It is also concluded that the -value solution is suitable for two gathering areas and not suitable for one gathering area. The use of solutions based on Shapley value and -value in the event of disaster would provide benefits in many areas, especially in the safety of people and property, in order to make fast, effective and correct decisions.

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