6 found
  1. Common knowledge, salience and convention: A reconstruction of David Lewis' game theory.Robin P. Cubitt & Robert Sugden - 2003 - Economics and Philosophy 19 (2):175-210.
    David Lewis is widely credited with the first formulation of common knowledge and the first rigorous analysis of convention. However, common knowledge and convention entered mainstream game theory only when they were formulated, later and independently, by other theorists. As a result, some of the most distinctive and valuable features of Lewis' game theory have been overlooked. We re-examine this theory by reconstructing key parts in a more formal way, extending it, and showing how it differs from more recent game (...)
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    Common reasoning in games: A Lewisian analysis of common knowledge of rationality.Robin P. Cubitt & Robert Sugden - 2014 - Economics and Philosophy 30 (3):285-329.
    We present a new class of models of players’ reasoning in non-cooperative games, inspired by David Lewis's account of common knowledge. We argue that the models in this class formalize common knowledge of rationality in a way that is distinctive, in virtue of modelling steps of reasoning; and attractive, in virtue of being able to represent coherently common knowledge of any consistent standard of individual decision-theoretic rationality. We contrast our approach with that of Robert Aumann, arguing that the former avoids (...)
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    On the Possibility of Rational Dilemmas: An Axiomatic Approach.Robin P. Cubitt - 1993 - Economics and Philosophy 9 (1):1-23.
    In this paper, I address two connected issues that arise when one considers a rational agent facing a decision problem. One is whether or not the agent may find that the dictates of rationality are such that they cannot all be followed. For example, one may ask whether or not the requirements on the agent's actions imposed by rationality can conflict in an irreconcilable way, making it impossible to satisfy all of them. Put differently, one may ask whether or not (...)
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    The Mutual Investment Game: Peculiarities of Indifference.Robin P. Cubitt & Martin Hollis - 1991 - Analysis 51 (3):113 - 120.
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    The mutual investment game: peculiarities of indifference.Robin P. Cubitt & Alonso Church - 1991 - Analysis 51 (3):113.
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    Edward F. McLennen, Rationality and Dynamic Choice: Foundational Explorations, Cambridge, Cambridge University Press, 1990, pp. xiv + 311.Robin P. Cubitt - 1993 - Utilitas 5 (1):128.