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A. A. J. MarleyThis is a tremendous book that integrates Luce's very important recent theoretical and empirical research on choice under uncertainty with the work of other researchers. Beginning a decade ago, Luce began building a very sophisticated theoretical structure that integrates utility theory with the concept of 'joint receipt', which essentially corresponds to the intuitive idea of receiving two valued items at the same time. In a series of works, culminating in this book, Luce has shown that reasonable properties of this superficially simple concept, in conjunction with somewhat more standard utility ideas, lead to exciting new theories of choice under uncertainty. Importantly, Luce not only develops these revolutionary theoretical ideas, but he tests them with students and colleagues. Anyone wanting to know about contemporary utility theories that are both theoretically and empirically grounded must read this book, as must anyone who will enjoy sharing the obvious delight in his work of an outstanding practitioner of the mathematical behavioral sciences.
—( A.A.J. Marley, McGill University)