Exact strong laws for simultaneous St. Petersburg games
by André Adler  

Vol. 3 No. 3 (2008) P.381~P.390

ABSTRACT

Herein we show a simple way to make the St. Petersburg Game fair for both Peter and Paul. By just considering the minimum of two simultaneous games we establish a way that could easily have been understood three centuries ago. Similarly, we show how to play the St. Petersburg Game by observing the max- imum of two concurrent games. After showing how to make this fair for both Peter and Paul by playing two games at a time we extend this so that they can play m simultaneous St. Petersburg Games.

KEYWORDS
Almost sure convergence, strong law of large numbers, exact laws

MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 60F05

MILESTONES

Received: 2007-06-25
Revised : 2007-07-31
Accepted: 2007-07-31

Download Full Content