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Vexing Expectations

Nover, Harris; Hajek, Alan


We introduce a St. Petersburg-like game, which we call the 'Pasadena game', in which we toss a coin until it lands heads for the first time. Your pay-offs grow without bound, and alternate in sign (rewards alternate with penalties). The expectation of the game is a conditionally convergent series. As such, its terms can be rearranged to yield any sum whatsoever, including positive infinity and negative infinity. Thus, we can apparently make the game seem as desirable or undesirable as we want,...[Show more]

CollectionsANU Research Publications
Date published: 2004
Type: Journal article
Source: Mind: a quarterly review of philosophy


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