“For anyone involved in settling disputes” (Richard Dawkins), a famed political scientist offers a classic argument for how to achieve a more cooperative world

This collection of formulas constitutes a compendium of mathematics for eco­ nomics and business. It contains the most important formulas, statements and algorithms in this significant subfield of modern mathematics and addresses primarily students of economics or business at universities, colleges and trade schools. But people dealing with practical or applied problems will also find this collection to be an efiicient and easy-to-use work of reference. First the book treats mathematical symbols and constants, sets and state­ ments, number systems and their arithmetic as well as fundamentals of com­ binatorics. The chapter on sequences and series is followed by mathematics of finance, the representation of functions of one and several independent vari­ ables, their differential and integral calculus and by differential and difference equations. In each case special emphasis is placed on applications and models in economics. The chapter on linear algebra deals with matrices, vectors, determinants and systems of linear equations. This is followed by the representation of struc­ tures and algorithms of linear programming. Finally, the reader finds formu­ las on descriptive statistics (data analysis, ratios, inventory and time series analysis), on probability theory (events, probabilities, random variables and distributions) and on inductive statistics (point and interval estimates, tests). Some important tables complete the work.

This book presents a systematic overview of cutting-edge research in the field of parametric modeling of personal income and wealth distribution, which allows one to represent how income/wealth is distributed within a given population. The estimated parameters may be used to gain insights into the causes of the evolution of income/wealth distribution over time, or to interpret the differences between distributions across countries. Moreover, once a given parametric model has been fitted to a data set, one can straightforwardly compute inequality and poverty measures. Finally, estimated parameters may be used in empirical modeling of the impact of macroeconomic conditions on the evolution of personal income/wealth distribution. In reviewing the state of the art in the field, the authors provide a thorough discussion of parametric models belonging to the “κ-generalized” family, a new and fruitful set of statistical models for the size distribution of income and wealth that they have developed over several years of collaborative and multidisciplinary research. This book will be of interest to all who share the belief that problems of income and wealth distribution merit detailed conceptual and methodological attention.

V.A. Vasil’ev and E.B. Yanovskaya 1 Game theory in the USSR before 1990 In this introductory chapter ?rst a short historical information about the development of game theory in the USSR before the 1990s is given. It should help to understand the choice of the papers in this volume. The development of game theory in the USSR began in the early sixties. N.N.Vorob’ev (1925- 1995) was the author of the ?rst papers about game theory in Russian; he was also the leader of a group of PhD students and young researchers at Leningrad who studied this new ?eldinmathematics. The early papers by Vorob’ev on enumerating equilibrium points in - matrix games ([74]), coalitional games where a player may belong to di erent coalitions ([77] and [78]) and equivalence of di erent types of strategies in games in extensive form ([75] and [76]), were published in Soviet journals having English translations, and so they became known in the West. Later on, game theory in the USSR exhibited signi?cant progress, which deserved world-wide attention. However, many game-theoretic papers were published in Soviet journals and edited volumes which have never been translated into English. In the 1960s, the theory of zero-sum games was popular in the USSR.