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2008 / September Volume 3 No.3
Exact strong laws for simultaneous St. Petersburg games
Published Date
2008 / September
Title
Exact strong laws for simultaneous St. Petersburg games
Author
André Adler
Keyword
Almost sure convergence, strong law of large numbers, exact laws, Almost sure convergence, strong law of large numbers, exact laws
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Pagination
381-390
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.
AMS Subject
Classification
60F05
Received
2007-07-31
Accepted
2007-07-31
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