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To give a surprise exam, use game theory

Synthese 115 (3):355-373 (1998)

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  1. How to expect a surprising exam.Brian Kim & Anubav Vasudevan - 2017 - Synthese 194 (8):3101-3133.
    In this paper, we provide a Bayesian analysis of the well-known surprise exam paradox. Central to our analysis is a probabilistic account of what it means for the student to accept the teacher's announcement that he will receive a surprise exam. According to this account, the student can be said to have accepted the teacher's announcement provided he adopts a subjective probability distribution relative to which he expects to receive the exam on a day on which he expects not to (...)
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  • The Surprise Examination in Dynamic Epistemic Logic.J. Gerbrandy - 2007 - Synthese 155 (1):21-33.
    We examine the paradox of the surprise examination using dynamic epistemic logic. This logic contains means of expressing epistemic facts as well as the effects of learning new facts, and is therefore a natural framework for representing the puzzle. We discuss a number of different interpretations of the puzzle in this context, and show how the failure of principle of success, that states that sentences, when learned, remain to be true and come to be believed, plays a central role in (...)
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  • Game Theory in Philosophy.Boudewijn de Bruin - 2005 - Topoi 24 (2):197-208.
    Game theory is the mathematical study of strategy and conflict. It has wide applications in economics, political science, sociology, and, to some extent, in philosophy. Where rational choice theory or decision theory is concerned with individual agents facing games against nature, game theory deals with games in which all players have preference orderings over the possible outcomes of the game. This paper gives an informal introduction to the theory and a survey of applications in diverse branches of philosophy. No criticism (...)
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