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In this illuminating and instructive survey, author Steven J. Brams demonstrates both the insights and the pitfalls that can result from applying game theoretic models to the analysis of problems in political science. Using plenty of real-life examples, Brams shows how game theory can explain and elucidate complex political situations, from warfare to presidential vetoes. In these cases and others, game theory's mathematical structure provides a rigorous, consistent method for formulating, analyzing, and solving strategic problems. Minimal mathematical background is necessary, making the...

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...

"Approval Voting" proposes a compelling way to elect some 500,000 officials in public elections. Under this system voters may vote for, or approve of, as many candidates as they like in multicandidate elections. Among the many benefits of approval voting are its propensity to elect the majority candidate (rather than the strongest minority candidate, as often occurs under plurality voting), its relative invulnerability to insincere or strategic voting, and - by offering voters the opportunity to influence election outcomes more equitably - a probable increase in voter turnout.

Since...