Uhoou, what an interesting idea. That’s not my research topic, and I am totally ignorant as concerns the area of research that you are proposing. But your question makes me think about the games theory and its sociological applications (see in France for example some of the works of Raymond Boudon and his social paradigm, that in some parts refers to some game theory elements). Did you take a look at these approaches? I mean, as concerns the theoretical frame?
Then, what is the aim of your study? Did you implement some hypothesis?
Long I treated the subject of game theory and its application in ntropología. To my mind it is not a highly developed country. I know some application made in the study of fishing (anthropological perspective), there are also applications for marriage and family relationships. If you want you can check out one of my work, published in the magazine Ethnica in which I expose an anthropological acermiento from game theory. Later I found that has a somewhat functional crácter and therefore reduces the explanation of social and cultural events which fall more rlevantes factors. The work is entitled "La eoría de juegos y su aplicación en antropología," published in Ethnica. Revista de Antropología, 20 (Barcelona, 1984). I hope you're interested