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DIVMany illuminating and instructive examples of the applications of game theoretic models to problems in political science appear in this volume, which requires minimal mathematical background. 1975 edition. 24 figures. /div
BACK IN PRINT with a new preface and a new chapter
Steven J. Brams' Theory of Moves, though based on the classical theory of games, proposes changes in its rules to render it a truly dynamic theory. By postulating that players think ahead not just to the immediate consequences of making moves, but also to the consequences of countermoves to these moves, counter-countermoves, and so on, it extends the strategic analysis of conflicts into the more distant future. It elucidates the role that different kinds of power - moving, order and threat - may have on conflict outcomes, and it also shows how misinformation affects player choices. Applied to a series of cases drawn from politics, economics, sociology, fiction and the Bible, the theory provides not only a parsimonious explanation of their outcomes, but also shows why they unfolded as they did. This book, which assumes no prior knowledge of game theory or special mathematical background, will be of interest to scholars and students throughout the social sciences.
Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy. - Brams's strategic exegesis of texts helps the reader relate characters' goals to their choices and the consequences of those choices. Much of his analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power.
Cutting a cake, dividing up the property in an estate, determining the borders in an international dispute - such problems of fair division are ubiquitous. Fair Division treats all these problems and many more through a rigorous analysis of a variety of procedures for allocating goods (or 'bads' like chores), or deciding who wins on what issues, when there are disputes. Starting with an analysis of the well-known cake-cutting procedure, 'I cut, you choose', the authors show how it has been adapted in a number of fields and then analyze fair-division procedures applicable to situations in which there are more than two parties, or there is more than one good to be divided. In particular they focus on procedures which provide 'envy-free' allocations, in which everybody thinks he or she has received the largest portion and hence does not envy anybody else. They also discuss the fairness of different auction and election procedures.
Routledge Performance Practitioners is a series of introductory guides to the key theatre-makers of the 20th century. Each volume explains the background to and the work of one of the major influences on 20th- and 21st-century performance. These compact, well-illustrated and clearly written books unravel the contribution of modern theatre's most charismatic innovators, through: personal biography; explanation of key writings; description of significant productions; and reproduction of practical exercises.
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 divide goods more fairly. One of the procedures that Brams proposes is "approval voting," which allows voters to vote for as many candidates as they like or consider acceptable. There is no ranking, and the candidate with the most votes wins. The voter no longer has to consider whether a vote for a preferred but less popular candidate might be wasted. In the same vein, Brams puts forward new, more equitable procedures for resolving disputes over divisible and indivisible goods.
A game-theoretical analysis of interactions between a human being and an omnipotent and omniscient godlike being highlights the inherent unknowability of the latter's superiority. In Divine Games, Steven Brams analyzes games that a human being might play with an omnipotent and omniscient godlike being. Drawing on game theory and his own theory of moves, Brams combines the analysis of thorny theological questions, suggested by Pascal's wager (which considers the rewards and penalties associated with belief or nonbelief in God) and Newcomb's problem (in which a godlike being has near omniscience) with the analysis of several stories from the Hebrew Bible. Almost all of these stories involve co...
The Presidential Election Game may change the way you think about presidential elections and, for that matter, American politics in general. It is not filled with statistics about the voting behavior of citizens, nor does it give detailed histories of past campaigns. Rather, it is an analytic treatment of strategy in the race for the presidency, fr
This procedure, called "adjusted winner," applies broadly, from divorce to business to international disputes. Based on a simple point-allocation system, it produces in hours, even minutes, resolutions that can -- and do -- take expert negotiators weeks and months to work out. What you really want to know is on which issues you will win, on which you will lose, and on which you will have to compromise. To this question, the authors bring a patented procedure that enables both parties to walk away with their maximum win-win potential. Book jacket.