Few branches of mathematics have been more influential in the social sciences than game theory. In recent years, it has become an essential tool for all social scientists studying the strategic behaviour of competing individuals, firms and countries. However, the mathematical complexity of game theory is often very intimidating for students who have only a basic understanding of mathematics. Insights into Game Theory addresses this problem by providing students with an understanding of the key concepts and ideas of game theory without using formal mathematical notation. The authors use four very different topics (college admission, social justice and majority voting, coalitions and co-operative games, and a bankruptcy problem from the Talmud) to investigate four areas of game theory. The result is a fascinating introduction to the world of game theory and its increasingly important role in the social sciences.
Ein-Ya Gura is Senior Lecturer in the Rothberg International School and a member of the Center for the Study of Rationality at the Hebrew University of Jerusalem. Michael B. Maschler is Professor of Mathematics and a member of the Center for the Study of Rationality at the Hebrew University of Jerusalem. Professor Maschler is one of the most distinguished game theorists in the world. With Robert Aumann (co-winner of the 2005 Nobel Prize for Economics), he solved a 2000-year-old puzzle on inheritance laws in the Talmud.
Introduction; 1. Mathematical matching; 2. Social justice; 3. The Shapley value in cooperative games; 4. Analysis of a bankruptcy problem from the Talmud; Answers to the exercises; Index.