Kategoria BISAC: Mathematics >> Game Theory

Stochastic differential games represent one of the most complex forms of decision making under uncertainty. In particular, interactions between strategic behaviors, dynamic evolution and stochastic elements have to be considered simultaneously. The complexity of stochastic differential games generally leads to great difficulties in the derivation of solutions. Cooperative games hold out the promise of more socially optimal and group efficient solutions to problems involving strategic actions. Despite urgent calls for national and international cooperation, the absence of formal solutions...

Dynamic Modeling of Monetary and Fiscal Cooperation Among Nations analyzes coordination of monetary and fiscal stabilization policies between countries and currency areas using a dynamic game approach. The first four chapters introduce the reader to the dynamics of fiscal and monetary policy cooperation. Issues covered include: fiscal coordination, fiscal stringency requirements, structural and bargaining power asymmetries and the design of monetary and fiscal policymaking in a monetary union. In the four last chapters multiple-player settings with aspects of fiscal and/or monetary...

Linear programming attracted the interest of mathematicians during and after World War II when the first computers were constructed and methods for solving large linear programming problems were sought in connection with specific practical problems for example, providing logistical support for the U.S. Armed Forces or modeling national economies. Early attempts to apply linear programming methods to solve practical problems failed to satisfy expectations. There were various reasons for the failure. One of them, which is the central topic of this book, was the inexactness of the data used...

Throughout the history of economic ideas, it has often been asserted that experimentation is impossible, yet, in fact, history shows that the idea of experimentation has always been important, and as such has been interpreted and put to use in many ways. Rich in historical detail, the essays in this topical volume deal with such issues as laboratory experimentation, the observed transition from a post-war economics to a contemporary discipline, the contrasting positions of Friedrich Hayek and Oskar Morgenstern, the socio-economic experiments proposed by Ernest Solvay and Knut Wicksell, and...

• Comprehensive coverage of this growing area of research
• Carefully introduces each algorithm with examples and in-depth discussion
...

Game theory is central to modern understandings of how people deal with problems of coordination and cooperation. Yet, ironically, it cannot give a straightforward explanation of some of the simplest forms of human coordination and cooperation--most famously, that people can use the apparently arbitrary features of "focal points" to solve coordination problems, and that people sometimes cooperate in "prisoner's dilemmas." Addressing a wide readership of economists, sociologists, psychologists, and philosophers, Michael Bacharach here proposes a revision of game theory that resolves these...

Voters today often desert a preferred candidate for a more viable second choice to avoid wasting their vote. Likewise, parties to a dispute often find themselves unable to agree on a fair division of contested goods. In Mathematics and Democracy, Steven Brams, a leading authority in the use of mathematics to design decision-making processes, shows how social-choice and game theory could make political and social institutions more democratic. Using mathematical analysis, he develops rigorous new procedures that enable voters to better express themselves and that allow disputants to...

The second edition of Herve Moulin's highly successful book outlines the fundamental concepts of game theory--one of the most provocative and fruitful applications of mathematics to the human sciences--and demonstrates its uses in economic and political discourse. Thoroughly revised, and now published with an accompanying workbook of 89 exercises, this rigorous yet accessible test explains the uses of game theory in largely nontechnical terms.

Moulin carefully discusses the behavioral scenarios underlying the various equilibrium concepts. He provides a self-contained exposition of...