The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate's political profile. In addition, societal and non-societal applications are considered.

For several decades, scholars have developed methods for solving optimization problems which emerge in economics, econometrics, operations research, and other disciplines. A considerable effort has been made to construct equations from which constraints can be derived, but surprisingly little has been done to construct the other part of optimization models: the scalar-valued objective function, the constrained maximum or minimum of which gives the optimal solution. The given volume is intended to attract attention to the problem, to present the major achievements in the field and to stimulate further research and teaching.

The mathematical theory of democracy deals with selection of representatives who make decisions on behalf of the whole society. In this book, the notion of representativeness is operationalized with the index of popularity (the average percentage of the population whose opinion is represented on a number of issues) and the index of universality (the frequency of cases when the opinion of a majority is represented). These indices are applied to evaluate and study the properties of single representatives (e.g. president) and representative bodies (e.g. parliament, magistrate, cabinet, jury, coalition). To bridge representative and direct democracy, an election method is proposed that is based not on voting but on indexing candidates with respect to the electorate's political profile. In addition, societal and non-societal applications are considered.

Flexicurity is a European labour market policy adopted in 2007 within the European Employment Strategy. This policy aims at combining the ongoing flexibilisation of employment relations with the traditions of the European welfare state. This book examines and summarises thirty empirical studies in flexicurity written by the author in 2004 and 2010. The book provides empirical evidence of increasing labour flexibility accompanied by a decline of social security. The author also shows that the countries with higher flexibility are more affected by the crisis. This is a serious warning against improper implementation of flexicurity and its one-sided use in favour of employers.

Flexicurity is a European labour market policy adopted in 2007 within the European Employment Strategy. This policy aims at combining the ongoing flexibilisation of employment relations with the traditions of the European welfare state. This book examines and summarises thirty empirical studies in flexicurity written by the author in 2004 and 2010. The book provides empirical evidence of increasing labour flexibility accompanied by a decline of social security. The author also shows that the countries with higher flexibility are more affected by the crisis. This is a serious warning against improper implementation of flexicurity and its one-sided use in favour of employers.