Game Theory describes human interaction involving conflict, cooperation and competition, the term Interpersonal Decision Theory is synonymous. The term reflects the fact that most essential features of this field are manifested in parlor games. This topic-level treatment covers large parts of...

Ch 0: Preliminaries -- 1. Introductory remarks -- 2. Notations and Definitions -- CH I: Convex Games -- 1. Representation -- 2. Extreme points of ¢1 -- 3. Extreme games and the core -- CH II: Superadditive Games -- 1. Representation -- 2. Extreme points of $ 1 -- 3. Solutions of extreme...

Game Theory: Stochastics, Information, Strategies and Cooperation provides a discussion of some relevant topics in game theory. It is composed partially from material compiled by Professor Joachim Rosenmüller when lecturing at IMW, the Institute of Mathematical Economics at the University of...

It is well known that the analysis of efficient specialization in Ricardian production with many countries and many commodities cannot be broken down to the simple case of two countries and two commodities. By drawing on some recent results of convex geometry and the theory of cephoids, this...

It is well known that the analysis of efficient specialization in Ricardian production with many countries and many commodities cannot be broken down to the simple case of two countries and two commodities. By drawing on some recent results of convex geometry and the theory of cephoids, this...

A cephoid is a Minkowski sum of finitely many prisms in R^n. We discuss the concept of duality for cephoids. Also, we show that the reference number uniquely defines a face. Based on these results, we exhibit two graphs on the outer surface of a cephoid. The first one corresponds to a maximal...

We discuss the structure of those polytopes in /R/n+ that are Minkowski sums of prisms. A prism is the convex hull of the origin and "n" positive multiples of the unit vectors. We characterize the defining outer surface of such polytopes by describing the shape of all maximal faces. As this...