Strong and weak expectations
Mind 117 (467):633-641 (2008)
| 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. CiteULike Connotea Del.icio.us What's this? | |||||||||
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Alan Baker (2007). Putting Expectations in Order. Philosophy of Science 74 (5):692-700.
Harris Nover & Alan Hájek (2004). Vexing Expectations. Mind 113 (450):237-249.
Terrence L. Fine (2008). Evaluating the Pasadena, Altadena, and St Petersburg Gambles. Mind 117 (467):613-632.
Alan Hájek & Harris Nover (2006). Perplexing Expectations. Mind 115 (459):703 - 720.
J. Sprenger & R. Heesen (2011). The Bounded Strength of Weak Expectations. Mind 120 (479):819-832.
Alan Hájek & Harris Nover (2008). Complex Expectations. Mind 117 (467):643 - 664.
J. McKenzie Alexander (2011). Expectations and Choiceworthiness. Mind 120 (479):803-817.
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