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It is widely held that Bayesian decision theory is the final word on how a rational person should make decisions. However, Leonard Savage--the inventor of Bayesian decision theory--argued that it would be ridiculous to use his theory outside the kind of small world in which it is always possible to "look before you leap." If taken seriously, this view makes Bayesian decision theory inappropriate for the large worlds of scientific discovery and macroeconomic enterprise. When is it correct to use Bayesian decision theory--and when does it need to be modified? Using a minimum of mathematics, Rational Decisions clearly explains the foundations of Bayesian decision theory and shows why Savage restricted the theory's application to small worlds. The book is a wide-ranging exploration of standard theories of choice and belief under risk and uncertainty. Ken Binmore discusses the various philosophical attitudes related to the nature of probability and offers resolutions to paradoxes believed to hinder further progress. In arguing that the Bayesian approach to knowledge is inadequate in a large world, Binmore proposes an extension to Bayesian decision theory--allowing the idea of a mixed strategy in game theory to be expanded to a larger set of what Binmore refers to as "muddled" strategies. Written by one of the world's leading game theorists, Rational Decisions is the touchstone for anyone needing a concise, accessible, and expert view on Bayesian decision making. "This short, ambitious book is intended to appeal to the presumed curiosity of economists, statisticians, and philosophers as to what constitutes rationality in scientific induction. Binmore, a game theorist aware of the daunting complexity of his subject matter for nonspecialists, has gone to great pains in making his work accessible, even offering marginal symbols to indicate the substantial portions of the text best avoided by readers lacking the author's appetite for mathematical data."--Choice "Rational Decisions contains a wealth of stimulating arguments and thought-provoking claims. It would be an excellent text for an advanced seminar in decision theory, particularly for students with a solid technical background. And no economist, philosopher or political scientist seriously interested in theories of rational decision-making can afford to ignore Binmore's controversial and iconoclastic claims."--José Luis Bermúdez, Economics and Philosophy "[T]he book constitutes an interesting contribution to this area of research rewarding for philosophers, economists, psychologists, and mathematicians alike."--Reinhard Slick, Mathematical Reviews "It is an original and stimulating book. I enjoyed it very much, and expect that you may too."--Brian Skyrms, British Journal for Philosophy of Science Endorsements: "Ken Binmore is one of our deepest thinkers on the foundations of economics and game theory. Here he gives us his personal take on standard decision theory and his own extension of the theory to the case in which decision makers cannot assign unambiguous probabilities to future events. This book will be of considerable interest to economists and philosophers alike."--Eric Maskin, Nobel Prize-winning economist Series:
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