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Mind 2008 117(467):633-641; doi:10.1093/mind/fzn053
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© Easwaran 2008

Discussions

Strong and Weak Expectations

Kenny Easwaran

USC School of Philosophy Mudd Hall of Philosophy 3709 Trousdale Parkway Los Angeles, CA 90089 USAeaswaran{at}usc.edu


  Abstract

Fine has shown that assigning any value to the Pasadena game is consistent with a certain standard set of axioms for decision theory. However, I suggest that it might be reasonable to believe that the value of an individual game is constrained by the long-run payout of repeated plays of the game. Although there is no value that repeated plays of the Pasadena game converges to in the standard strong sense, I show that there is a weaker sort of convergence it exhibits, and use this to define a notion of ‘weak expectation’ that can give values to the Pasadena game and many others, though not to all games that fail to have a strong expectation in the standard sense.


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