We look at the basic applications of cooperative game theory to economic situations. These include bargaining and cooperative equilibria, especially as the number of players increases without bound. The core and the Shapley value are the fundamental tools for these applications. We consider the...

We consider a game-theoretic model of counterproliferation, in which a single Incumbent (holding nuclear weapons) is faced with a sequence of potential Entrants (who are considering developing and deploying a nuclear capability or other weapons of mass destruction of their own). The Incumbent...

The paper presents some issues currently under studying in the field of Cooperative Games. The related open problems are also mentioned.

We develop a model of coalition formation based on personal proximities among the players of an n-person game. Several examples are worked out in detail, showing that certain coalitions are much more stable than others, and/or much more likely to form than others. We also consider the dynamics...

We consider a search game in which a hider chooses to hide in any one of many cells. A searcher looks in any of the cells. The probability of finding the hider depends (a) on the characteristics of the cell, and (b) on whether the searcher looks in the right cell. It is possible that the hider...