Publisher Summary This chapter focuses on the bargaining set, kernel, and nucleolus. The
theory of the bargaining set answers a more modest question: How would or should the …

A Course in Game Theory presents the main ideas of game theory at a level suitable for
graduate students and advanced undergraduates, emphasizing the theory's foundations …

1. Introduction. A characteristic function game isa pair N, v] consisting of a set N{1, 2,..., n} of
n players and a characteristic function v, which maps every subset S of N, called a coalition …

The kernel of a cooperative n‐person game is defined. It is a subset of the bargaining set 𝔐
(i). Its existence and some of its properties are studied. We apply it to the 3‐person games, to …

The study of the theory of games was started in Von Neumann (1928), but the development
of the theory of games was accelerated after the publication of the classical book" Theory of …

An overview of different models and solution concepts of game theory is given together with
a sketch of the major areas of application to political economy, as well as with some …

This paper deals with the question of coalition formation in n-person cooperative games.
Two abstract game models of coalition formation are proposed. We then study the core and …

In RJ Aumann and M. Maschler [1], a theory was developed to attack the following general
question: If the players in a cooperative n-person game have decided upon a specific …

This book is a collection of certain lectures given at the Economics Department at Stanford
University on the game theory. It contains material on this theory of rational behavior of …

The kernel of a cooperative game is a subset of the bargaining set ℳ 1 (i). It is sensitive to
symmetry relations and their generalizations, which may exist in the characteristic function …