Mathematical economics and game theory approached with the fundamental mathematical toolbox of nonlinear functional analysis are the central themes of this text. Both optimization and equilibrium theories are covered in full detail. The book's central application is the fundamental economic problem of allocating scarce resources among competing agents, which leads to considerations of the interrelated applications in game theory and the theory of optimization. Mathematicians, mathematical economists, and operations research specialists will find that it provides a solid foundation in nonlinear functional analysis. This text begins by developing linear and convex analysis in the context of optimization theory. The treatment includes results on the existence and stability of solutions to optimization problems as well as an introduction to duality theory. The second part explores a number of topics in game theory and mathematical economics, including two-person games, which provide the framework to study theorems of nonlinear analysis. The text concludes with an introduction to non-linear analysis and optimal control theory, including an array of fixed point and subjectivity theorems that offer powerful tools in proving existence theorems.

These volumes chart the fundamental - methodological and analytical - change in economics that arose in the second half of the nineteenth century. The main characteristics of this change included an increasing reliance on mathematical methods, a revolution in the theory of value, and the rise of general equilibrium theory. This collection traces this long revolution over a fifty-year period for the first time, from William Stanley Jevons' The Theory of Political Economy (1871), to Eugen Slutsky's On the Theory of the Budget of the Consumer (1915).

Ces débats du Deuxième symposium international sur la théorie et la pratique dans l'économie, 10-11 Octobre 1967, couvrent choix des investissements, éléments de la demande, transports urbains, et imputation des charges d'infrastructures.

Fuzzy set theory, which started not much more than 20 years ago as a generalization of classical set theory, has in the meantime evolved into an area which scientifically, as well as from the point of view of applications, is recognized as a very valuable contribution to the existing knowledge. This book provides a remarkable contribution to Fuzzy Economics and presents the state of the art in fuzzy theory of value, namely the aggregated model of microeconomics with fuzzy behaviours. It presents an analysis of classical problems with new tools which lead to interesting results.