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Political science --- Mathematical models. --- Methodology. --- Methodology --- Mathematical models --- Political science - Methodology --- Political science - Mathematical models

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Qualitative methods in social research --- Political sociology --- Political science --- Decision Making --- Mathematical models --- Addresses, essays, lectures --- Adresses, essays, lectures --- Political science - Mathematical models - Addresses, essays, lectures --- Decision Making - Mathematical models - Adresses, essays, lectures

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Honesty in voting, it turns out, is not always the best policy. Indeed, in the early 1970s, Allan Gibbard and Mark Satterthwaite, building on the seminal work of Nobel laureate Kenneth Arrow, proved that with three or more alternatives there is no reasonable voting system that is non-manipulable; voters will always have an opportunity to benefit by submitting a disingenuous ballot. The ensuing decades produced a number of theorems of striking mathematical naturality that dealt with the manipulability of voting systems. This 2005 book presents many of these results from the last quarter of the twentieth century, especially the contributions of economists and philosophers, from a mathematical point of view, with many new proofs. The presentation is almost completely self-contained, and requires no prerequisites except a willingness to follow rigorous mathematical arguments. Mathematics students, as well as mathematicians, political scientists, economists and philosophers will learn why it is impossible to devise a completely unmanipulable voting system.

Microeconomics --- Voting --- Social choice --- Political science --- Game theory. --- Mathematical models. --- Games, Theory of --- Theory of games --- Mathematical models --- Mathematics --- Polls --- Elections --- Politics, Practical --- Suffrage --- Balloting --- Voting - Mathematical models. --- Social choice - Mathematical models. --- Political science - Mathematical models.

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Sociology of policy --- Welfare economics --- Decision Making in political science --- Mathematical models --- 330.1 --- Social choice --- Choice, Social --- Collective choice --- Public choice --- Choice (Psychology) --- Social psychology --- Economische grondbegrippen. Algemene begrippen in de economie --- Social choice. --- 330.1 Economische grondbegrippen. Algemene begrippen in de economie --- Welfare economics - Mathematical models --- Decision Making in political science - Mathematical models

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Political Game Theory is a self-contained introduction to game theory and its applications to political science. The book presents choice theory, social choice theory, static and dynamic games of complete information, static and dynamic games of incomplete information, repeated games, bargaining theory, mechanism design and a mathematical appendix covering, logic, real analysis, calculus and probability theory. The methods employed have many applications in various disciplines including comparative politics, international relations and American politics. Political Game Theory is tailored to students without extensive backgrounds in mathematics, and traditional economics, however there are also many special sections that present technical material that will appeal to more advanced students. A large number of exercises are also provided to practice the skills and techniques discussed.

Political games --- Game theory --- Political science --- Mathematical models --- Political games. --- Game theory. --- Mathematical models. --- #SBIB:303H13 --- #SBIB:303H64 --- Simulation games --- Games, Theory of --- Theory of games --- Mathematics --- Methoden en technieken: politieke wetenschappen --- Speltheorie --- Social Sciences --- Political Science --- Political science - Mathematical models