|Abstract||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, simply by reordering the pay-off table, yet the game remains unchanged throughout. Formally speaking, the expectation does not exist; but we contend that this presents a..|
|Keywords||No keywords specified (fix it)|
|Through your library||Only published papers are available at libraries|
Similar books and articles
Terrence L. Fine (2008). Evaluating the Pasadena, Altadena, and St Petersburg Gambles. Mind 117 (467):613-632.
Alan Baker (2007). Putting Expectations in Order. Philosophy of Science 74 (5):692-700.
Kenny Easwaran (2008). Strong and Weak Expectations. Mind 117 (467):633-641.
Alan Hájek & Harris Nover (2008). Complex Expectations. Mind 117 (467):643 - 664.
Alan Hájek & Harris Nover (2006). Perplexing Expectations. Mind 115 (459):703 - 720.
J. McKenzie Alexander (2011). Expectations and Choiceworthiness. Mind 120 (479):803-817.
Mark Colyvan (2008). Relative Expectation Theory. Journal of Philosophy 105 (1):37-44.
Harris Nover & Alan Hájek (2004). Vexing Expectations. Mind 113 (450):237-249.
Martin Peterson (2011). A New Twist to the St Petersburg Paradox. Journal of Philosophy 108 (12):697-699.
Added to index2009-01-28
Total downloads36 ( #33,057 of 549,625 )
Recent downloads (6 months)1 ( #63,397 of 549,625 )
How can I increase my downloads?