This book examines theology and the idea of a superior being in the context of game theory. The author shows how game theory can help breathe life into questions and he clarifies the structure of our
The central question I pose in this book is: If there existed a supe- rior being who possessed the supernatural qualities of omni- science, omnipotence, immortality, and incomprehensibility, how would
The concept of negotiation is critical to coping with all manner of strategic problems that arise in the everyday dealings that people have with each other and organizations. Game theory illustrates t
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
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.
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.
Written in 1978, this work by Brams (politics, New York U.) applies modern mathematical game theory and decision theory to the analysis of presidential electoral politics, examining the dynamics of st
Game theory models are ubiquitous in economics, common in political science, andincreasingly used in psychology and sociology; in evolutionary biology, they offer compellingexplanations for competitio
Brams (New York U.) demonstrates the application of game theory to the explication of strategic features of actual political situations: international relations, qualitative and quantitative voting, v
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, Stev
This book presents a simple and logical potential electoral reform. Under this system, voters may vote for, or approve of, as many candidates as they like in multicandidate elections. Among the many b
Since the publication of Roger Fisher and William Ury's highly influential book, Getting to Yes, it has been widely recognized that there is a middle ground between winning and losing in negotiation.
This volume serves the multiple purposes of honoring Peter Fishburn's contributions, providing both expository and new papers from leading figures in each of the areas of Fishburn's research, and putt