Vivian, Robert William (2008): Considering the Harmonic Sequence "Paradox". Published in: South African Journal of Economic & Management Sciences , Vol. NS12, No. 3 (September 2009): pp. 385-391.
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Abstract
Blavatskyy (2006) formulated a game of chance based on the harmonic series which, he suggests, leads to a St Petersburg type of paradox. In view of the importance of the St Petersburg game to decision theory, any game which leads to a St Petersburg type paradox is of interest. Blavatskyy’s game is re-examined in this article to conclude that it does not lead to a St Petersburg type paradox.
Item Type: | MPRA Paper |
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Original Title: | Considering the Harmonic Sequence "Paradox" |
Language: | English |
Keywords: | Keywords: St Petersburg paradox; harmonic series; harmonic series paradoxes; decision theory and games of chance; decision theory paradoxes; expected values. |
Subjects: | D - Microeconomics > D8 - Information, Knowledge, and Uncertainty > D81 - Criteria for Decision-Making under Risk and Uncertainty C - Mathematical and Quantitative Methods > C9 - Design of Experiments > C91 - Laboratory, Individual Behavior |
Item ID: | 21216 |
Depositing User: | Robert W Vivian |
Date Deposited: | 11 Mar 2010 18:05 |
Last Modified: | 27 Sep 2019 13:02 |
References: | Bernoulli, D. 1954/1738. "Exposition of a new theory on the measurement of risk", Econometrica, 22(1): 23-36 Blavatskyy, PR. 2006. "Harmonic sequence paradox", Economic Theory 28(1): 221-226. Derbyshire, John. 2003. Prime obsession - Bernard Riemann and the greatest unsolved problem in mathematics, Washington DC, United States of America: Joseph Henry Press. Fine, Terrence L. 2008. "Evaluating the Pasadena, Altadena, and St Petersburg Gambles", Mind, 117 (467): 613-632. Maistrov, L.E. 1974. Probability Theory - a historical sketch , New York, United States of America: Academic Press (translated by Samuel Kotz). Nover, H & Hajek, A. 2004. "Vexing expectations", Mind,113:237-249. Samuelson, PA. 1977. "St Petersburg Paradoxes: defanged, dissected, and historically described", Journal of Economic Smith, Adam. 1776. An inquiry into the Nature and causes of the Wealth ofNations , Chicago, United States of America: Chicago University Press (1976 ed.). Todhunter, I. 1865. A history of the mathematical theory of probability, Chelsea Publishing Company 1949. Vivian, R.W. 2003. "Solving the St Petersburg Paradox - the paradox which is not and never was", South African Journal ofManagement and Economic Sciences NS6 (2): 331-345. Vivian, R.W 2003a. "Considering Samuelson's 'Fallacy of the Law of Large Numbers' without utility", South African Journal of Economics, 71(2): 363-379. Vivian, Robert W. (2004) “Simulating the St Petersburg game: Theoretical and empirical consistency”, Simulating and Gaming 34 (4) 499-504. Vivian, Robert W. (2006) “Considering the Pasadena ‘Paradox’ ”, South African Journal of Economic & Management Sciences NS9 (2) 277-284. |
URI: | https://mpra.ub.uni-muenchen.de/id/eprint/21216 |