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Mathematics and Democracy
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.
Mathematics and Politics
As a text for an undergraduate mathematics course for nonmajors, Mathematics and Politics requires no prerequisites in either area while the underlying philosophy involves minimizing algebraic computations and focusing instead on some conceptual aspects of mathematics in the context of important real-world questions in political science. Five major topics are covered including a model of escalation, game theoretic models of international conflict, yes-no voting systems, political power, and social choice. Each topic is discussed in an introductory chapter and revisited in more depth in a later chapter. This new edition has added co-author, Allison Pacelli, and two new chapters on "Fairness" ...
Fair Division
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.
The Higher Infinite
Over the years, this book has become a standard reference and guide in the set theory community. It provides a comprehensive account of the theory of large cardinals from its beginnings and some of the direct outgrowths leading to the frontiers of contemporary research, with open questions and speculations throughout.
Creative Problem Solver's Handbook for Negotiators and Mediators: A guide for practitioners, academics, and students of creative problem solving
"The Handbook takes a pracademic approach to creative problem solving in negotiation and mediation. 'Pracademics' used to describe the art and science of translating the theory of creative problem solving into practice, and conversely, converting the practice of creative problem solving into theory. Volume Two of the Handbook is focused on specific creative problem solving techniques and tools that negotiation/mediation practitioners across the country have found to be effective in resolving disputes or making deals. A highly useful feature of Volume Two is its multiple indexing to facilitate identifying techniques or tools appropriate for the problem solving task."--Publisher.
Free at Last to Vote
A compelling examination of three lesser known--but extremely important--federal voting rights cases in Alabama that ultimately influenced the language of the Voting Rights Act. Reveals how each case helped pave the way for the dramatic expansion of federal power in combating racist rules designed to keep blacks out of the polling booth.
Principles Of International Politics: People's Power, Preferences, and Perceptions, 3rd Edition
Leaders want to stay in power. Their self-interest is the decisive motivation for action in the international arena, and forms the theoretical backbone for this exciting departure from other introductory international relations texts. Through its discussion and development of the strategic perspective, Principles of International Politics shows students how leaders translate their personal interests and ambitions into actions of the state and convincingly demonstrates how international and domestic politics are inextricably linked. Clearly explaining both the foundational ideas of international relations as well as the key concepts of the strategic perspective, Bueno de Mesquita effectively links these to the analytic tools students will employ throughout.
