Kategoria BISAC: Mathematics >> Game Theory

A lot of economic problems can formulated as constrained optimizations and equilibration of their solutions.Various mathematical theories have been supplying economists with indispensable machineries for these problems arising in economic theory. Conversely, mathematicians have been stimulated by various mathematical difficulties raised by economic theories. The series is designed to bring together those mathematicians who were seriously interested in getting new challenging stimuli from economic theories with those economists who are seeking for effective mathematical tools for their...

Constructal Theory of Social Dynamics brings together for the first time social scientists and engineers to develop a predictive theory of social organization, as a conglomerate of mating flows that morph in time to flow more easily (people, goods, money, energy, information). These flows have objectives (e.g., minimization of effort, travel time, cost), and the objectives clash with global constraints (space, time, resources). The result is organization (flow architecture) derived from one principle of configuration evolution in time (the constructal law): "for a...

Considering the stupendous gain in importance, in the banking and insurance industries since the early 1990 s, of mathematical methodology, especially probabilistic methodology, it was a very natural idea for the French "Academie des Sciences" to propose a series of public lectures, accessible to an educated audience, to promote a wider understanding for some of the fundamental ideas, techniques and new tools of the financial industries.

These lectures were given at the "Academie des Sciences" in Paris by internationally renowned experts in mathematical finance, and later written up...

Private Equity Exits provides the first comprehensive analysis of private equity divestment processes so-called 'exits' for European buyouts. The work is designed as a compendium of current scientific knowledge on portfolio company exits and also provides deeper insights into various aspects of divestment processes, which is underpinned by own extensive empirical analysis and findings.

Examining the efficiency of exits, this book offers recommendations and guidelines for an integrated and exit-oriented private equity portfolio management and provides a detailed assessment of exit...

This book offers the basic grasp of general equilibrium theory that is a fundamental background for advanced work in virtually any sub-field of economics, and the thorough understanding of the methods of welfare economics, particularly in a general equilibrium context, that is indispensable for undertaking applied policy analysis. The book uses extensive examples, both simple ones intended to bolster basic concepts, and those illustrating application of the material to economics in practice.

Although valued for its ability to allow teams to collaborate and foster coalitional behaviors among the participants, game theory s application to networking systems is not without challenges. Distributed Strategic Learning for Wireless Engineers illuminates the promise of learning in dynamic games as a tool for analyzing network evolution and underlines the potential pitfalls and difficulties likely to be encountered.

Establishing the link between several theories, this book demonstrates what is needed to learn strategic interaction in wireless networks under uncertainty,...

In this book, leading experts in international negotiations present formal models of conflict resolution and international negotiations. It examines how the abstract concept of formal models can be made more understandable to those not trained to work with them, what can be done to encourage the use of formal methods in the real world, and ways in which politicians and diplomats can apply formal methods to the problems they are currently facing.

In this book, different quantitative approaches to the study of electoral systems have been developed: game-theoretic, decision-theoretic, statistical, probabilistic, combinatorial, geometric, and optimization ones. All the authors are prominent scholars from these disciplines. Quantitative approaches offer a powerful tool to detect inconsistencies or poor performance in actual systems. Applications to concrete settings such as EU, American Congress, regional, and committee voting are discussed.

This book makes a significant inroad into the unexpectedly difficult question of existence of Frechet derivatives of Lipschitz maps of Banach spaces into higher dimensional spaces. Because the question turns out to be closely related to porous sets in Banach spaces, it provides a bridge between descriptive set theory and the classical topic of existence of derivatives of vector-valued Lipschitz functions. The topic is relevant to classical analysis and descriptive set theory on Banach spaces. The book opens several new research directions in this area of geometric nonlinear functional...