Arrow Impossibility Theorems

Arrow Impossibility Theorems
Author: Jerry S. Kelly
Publisher:
Total Pages: 218
Release: 1978
Genre: Political Science
ISBN:

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On Collective Rationality and a Generalized Impossibility Theorem

On Collective Rationality and a Generalized Impossibility Theorem
Author: Peter C. Fishburn
Publisher:
Total Pages: 31
Release: 1973
Genre:
ISBN:

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Arrow's impossibility theorem shows that a set of conditions on binary social choices with three or more alternatives are mutually incompatible. The paper derives a similar type of impossibility theorem that is not based on binary social choices but rather uses social choices from subsets of more than two alternatives. (Author).

Is the End Nigh?

Is the End Nigh?
Author: Graham Lyons
Publisher: Routledge
Total Pages: 296
Release: 1995
Genre: Philosophy
ISBN:

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This work examines the environmental crisis within the context of the internationalization or globalization of people and nations. The existence of life on Earth - and certainly human life - has been called into question in the twentieth century, first through the threat of nuclear obliteration and climate alteration (the enhanced greenhouse effect and destruction of the Earth's ozone shield), environmental pollution, exploding human population growth and the destruction of species and genetic diversity. Many people believe that these 'global' dangers represent a crisis of such a magnitude that they can only be effectively dealt with by a 'global' response, in particular by the abandonment of the sovereignty of nations and the construction of a one world government in some shape or form. This 'new world order' would also save us from ourselves, bringing about an era of sustainable peace on Earth. It is argued here that this internationalist vision cannot succeed; it will destroy the environment, not preserve it, and bring about an era of turmoil and warfare, not peace. In particular, it is demonstrated that the environmental crisis is in part a product of internationalism. This book examines the deleterious consequences of internationalism with respect to major environmental and political debates such as ecologically sustainable development, technology and human freedom, economic rationalism and economic internationalism, immigration and human population expansion, racial and ethnic conflict and the globalization of epidemic diseases.

The Strategic Constitution

The Strategic Constitution
Author: Robert D. Cooter
Publisher: Princeton University Press
Total Pages: 435
Release: 2020-06-30
Genre: Law
ISBN: 0691214506

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Making, amending, and interpreting constitutions is a political game that can yield widespread suffering or secure a nation's liberty and prosperity. Given these high stakes, Robert Cooter argues that constitutional theory should trouble itself less with literary analysis and arguments over founders' intentions and focus much more on the real-world consequences of various constitutional provisions and choices. Pooling the best available theories from economics and political science, particularly those developed from game theory, Cooter's economic analysis of constitutions fundamentally recasts a field of growing interest and dramatic international importance. By uncovering the constitutional incentives that influence citizens, politicians, administrators, and judges, Cooter exposes fault lines in alternative forms of democracy: unitary versus federal states, deep administration versus many elections, parliamentary versus presidential systems, unicameral versus bicameral legislatures, common versus civil law, and liberty versus equality rights. Cooter applies an efficiency test to these alternatives, asking how far they satisfy the preferences of citizens for laws and public goods. To answer Cooter contrasts two types of democracy, which he defines as competitive government. The center of the political spectrum defeats the extremes in "median democracy," whereas representatives of all the citizens bargain over laws and public goods in "bargain democracy." Bargaining can realize all the gains from political trades, or bargaining can collapse into an unstable contest of redistribution. States plagued by instability and contests over redistribution should move towards median democracy by increasing transaction costs and reducing the power of the extremes. Specifically, promoting median versus bargain democracy involves promoting winner-take-all elections versus proportional representation, two parties versus multiple parties, referenda versus representative democracy, and special governments versus comprehensive governments. This innovative theory will have ramifications felt across national and disciplinary borders, and will be debated by a large audience, including the growing pool of economists interested in how law and politics shape economic policy, political scientists using game theory or specializing in constitutional law, and academic lawyers. The approach will also garner attention from students of political science, law, and economics, as well as policy makers working in and with new democracies where constitutions are being written and refined.

Mathematics and Politics

Mathematics and Politics
Author: Alan D. Taylor
Publisher: Springer Science & Business Media
Total Pages: 378
Release: 2009-12-29
Genre: Social Science
ISBN: 0387776435

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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" and "More Fairness." The examples and the exercises have been updated and enhanced throughout. Reviews from first edition: This book is well written and has much math of interest. While it is pitched at a non-math audience there is material here that will be new and interesting to the readers... -Sigact News For mathematicians, Taylor's book shows how the social sciences make use of mathematical thinking, in the form of axiomatic systems, and offers a chance to teach this kind of thinking to our students. - The College Mathematics Journal The writing is crisp and the sense of excitement about learning mathematics is seductive. The political conflict examples are well thought out and clear. -Michael C. Munger

Analysis of Boolean Functions

Analysis of Boolean Functions
Author: Ryan O'Donnell
Publisher: Cambridge University Press
Total Pages: 445
Release: 2014-06-05
Genre: Computers
ISBN: 1107038324

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This graduate-level text gives a thorough overview of the analysis of Boolean functions, beginning with the most basic definitions and proceeding to advanced topics.

Intellectual Trespassing as a Way of Life

Intellectual Trespassing as a Way of Life
Author: David P. Ellerman
Publisher: Rowman & Littlefield
Total Pages: 296
Release: 1995
Genre: Business & Economics
ISBN: 9780847679324

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Dramatic changes or revolutions in a field of science are often made by outsiders or 'trespassers, ' who are not limited by the established, 'expert' approaches. Each essay in this diverse collection shows the fruits of intellectual trespassing and poaching among fields such as economics, Kantian ethics, Platonic philosophy, category theory, double-entry accounting, arbitrage, algebraic logic, series-parallel duality, and financial arithmetic.

Basic Methods of Policy Analysis and Planning

Basic Methods of Policy Analysis and Planning
Author: Carl Patton
Publisher: Routledge
Total Pages: 481
Release: 2015-08-26
Genre: Political Science
ISBN: 1317350006

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Updated in its 3rd edition, Basic Methods of Policy Analysis and Planning presents quickly applied methods for analyzing and resolving planning and policy issues at state, regional, and urban levels. Divided into two parts, Methods which presents quick methods in nine chapters and is organized around the steps in the policy analysis process, and Cases which presents seven policy cases, ranging in degree of complexity, the text provides readers with the resources they need for effective policy planning and analysis. Quantitative and qualitative methods are systematically combined to address policy dilemmas and urban planning problems. Readers and analysts utilizing this text gain comprehensive skills and background needed to impact public policy.

How to Prove It

How to Prove It
Author: Daniel J. Velleman
Publisher: Cambridge University Press
Total Pages: 401
Release: 2006-01-16
Genre: Mathematics
ISBN: 0521861241

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Many students have trouble the first time they take a mathematics course in which proofs play a significant role. This new edition of Velleman's successful text will prepare students to make the transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs. The book begins with the basic concepts of logic and set theory, to familiarize students with the language of mathematics and how it is interpreted. These concepts are used as the basis for a step-by-step breakdown of the most important techniques used in constructing proofs. The author shows how complex proofs are built up from these smaller steps, using detailed 'scratch work' sections to expose the machinery of proofs about the natural numbers, relations, functions, and infinite sets. To give students the opportunity to construct their own proofs, this new edition contains over 200 new exercises, selected solutions, and an introduction to Proof Designer software. No background beyond standard high school mathematics is assumed. This book will be useful to anyone interested in logic and proofs: computer scientists, philosophers, linguists, and of course mathematicians.