Friday, April 1, 2011

"Game Theory and the Humanities"

New from the MIT Press: Game Theory and the Humanities: Bridging Two Worlds by Steven J. Brams.

About the book, from the publisher:
Game theory models are ubiquitous in economics, common in political science, and increasingly used in psychology and sociology; in evolutionary biology, they offer compelling explanations for competition in nature. But game theory has been only sporadically applied to the humanities; indeed, we almost never associate mathematical calculations of strategic choice with the worlds of literature, history, and philosophy. And yet, as Steven Brams shows, game theory can illuminate the rational choices made by characters in texts ranging from the Bible to Joseph Heller's Catch-22 and can explicate strategic questions in law, history, and philosophy.

Brams's strategic exegesis of texts helps the reader relate characters' goals to their choices and the consequences of those choices. Much of his analysis is based on the theory of moves (TOM), which is grounded in game theory, and which he develops gradually and applies systematically throughout. TOM illuminates the dynamics of player choices, including their misperceptions, deceptions, and uses of different kinds of power.

Brams examines such topics as Abraham’s decision to offer his son for sacrifice when God commanded him to do so; the outcome and payoff matrix of Pascal’s wager on the existence of God; and the strategic games played by presidents and Supreme Court justices; frustration games, as illustrated by the strategic use of sexual abstinence in Aristophanes’s Lysistrata; and how information was slowly uncovered in the game played by Hamlet and Claudius. Going beyond the explication of these specific situations, Brams also derives propositions about "generic games," applicable to a broad class of situations. The reader gains not just new insights into the actions of certain literary and historical characters but also a larger strategic perspective on the choices that make us human.