An Empirical Approach to the St. Petersburg Paradox

Autor/inn/en	Klyve, Dominic; Lauren, Anna
Titel	An Empirical Approach to the St. Petersburg Paradox
Quelle	In: College Mathematics Journal, 42 (2011) 4, S.260-264 (5 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0746-8342
DOI	10.4169/college.math.j.42.4.260
Schlagwörter	Games; Probability; College Mathematics; Mathematics Instruction; Decision Making; Theories + Suchen Sie Ihr Suchwort? Game; Spiel; Spiele; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Mathematics lessons; Mathematikunterricht; Decision-making; Entscheidungsfindung; Theory; Theorie
Abstract	The St. Petersburg game is a probabilistic thought experiment. It describes a game which seems to have infinite expected value, but which no reasonable person could be expected to pay much to play. Previous empirical work has centered around trying to find the most likely payoff that would result from playing the game n times. In this paper, we extend this work to the distribution of all possible values which could result from this experiment. We use this distribution--with a surprising fractal-like pattern--to examine the unlikely nature of the most famous experiment on this game, the results of the Compte de Buffon's playing the game 2048 times. (As Provided).
Anmerkungen	Mathematical Association of America. 1529 Eighteenth Street NW, Washington, DC 20036. Tel: 800-741-9415; Tel: 202-387-5200; Fax: 202-387-1208; e-mail: maahq@maa.org; Web site: http://www.maa.org/pubs/cmj.html
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10