Robert J. Aumann

  • Repeated Games with Incomplete Information

    Repeated Games with Incomplete Information

    Robert J. Aumann and Michael Maschler

    During the height of the Cold War, between 1965 and 1968, Robert Aumann, Michael Maschler, and Richard Stearns collaborated on researchon the dynamics of arms control negotiations that has since become foundational to work on repeated games. These five seminal papers are collected here for the first time, with the addition of "postscripts" describing many of the developments since the papers were written.

    During the height of the Cold War, between 1965 and 1968, Robert Aumann, Michael Maschler, and Richard Stearns collaborated on research on the dynamics of arms control negotiations that has since become foundational to work on repeated games. These five seminal papers are collected here for the first time, with the addition of "postscripts" describing many of the developments since the papers were written. The basic model studied throughout the book is one in which players ignorant about the game being played must learn what they can from the actions of the others. The original work, done under contract to the United States Arms Control and Disarmament Agency, was intended to tackle the gradual disarmament problem, in which neither player knew what his own payoff would be for any given agreement, because of uncertainty about the other side's arsenal and weapons production technology. But the research soon became much more generalized, covering information concealment and revelation, signaling and learning, and related ideas in any repeated competitive situation. The first four chapters of the book treat the competitive zero-sum side of the theory of repeated games. Chapter five takes up cooperative phenomena where one player may want to signal information to another. An extensive bibliography covers all items mentioned in the main text, in the postscripts, and in the introduction. The bibliography also includes a compilation of published papers and books that refer to the original reports.

    • Hardcover $70.00
    • Paperback $35.00

Contributor

  • Homotopy Theory

    Homotopy Theory

    George W. Whitehead

    Notes for a second-year graduate course in advanced topology at MIT, designed to introduce the student to some of the important concepts of homotopy theory.

    This book consists of notes for a second year graduate course in advanced topology given by Professor Whitehead at M.I.T. Presupposing a knowledge of the fundamental group and of algebraic topology as far as singular theory, it is designed to introduce the student to some of the more important concepts of homotopy theory. The book emphasizes (relative) CW-complexes, which the author believes to be the natural setting for obstruction theory, and follows the spirit of J. H. C. Whitehead's “combinatorial homotopy.”

    Homotopy Theory will prove valuable to first- and second-year graduate students of mathematics and to mathematicians interested in this unique treatment of the subject.

    • Hardcover $9.95
    • Paperback $25.00