The aim of this book is to draw the attention of researchers in Economics to exploring the field of game theory in the analysis of economic phenomena. We explore cooperative and non-cooperative game theory. We then developed the notions of bargaining games in interactions between economic agents. Cooperative game theory based on collective rationality concerns Shapley value and nucleolus. As for bargaining games, we have developed Nash arbitrage, egalitarian arbitrage and Kalai-Smorodinsky arbitrage games.