Periodica Mathematica Hungarica
Volume/Issue:
Volume 50: Issue 1-2
Laws of large numbers for cooperative St. Petersburg gamblers
Authors: Sándor Csörgő 1 and Gordon Simons 2
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  • 1 Bolyai Institute, University of Szeged Aradi vértanúk tere 1, H-6720 Szeged, Hungary
  • 2 Department of Statistics, University of North Carolina New West, Chapel Hill, NC 27599-3260, U.S.A.
DOI:
https://doi.org/10.1007/s10998-005-0005-9
Page Count:
99–115
Publication Date:
01 Aug 2005
Online Publication Date:
31 Aug 2005
Article Category:
Research Article
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Summary General linear combinations of independent winnings in generalized \St~Petersburg games are interpreted as individual gains that result from pooling strategies of different cooperative players. A weak law of large numbers is proved for all such combinations, along with some almost sure results for the smallest and largest accumulation points, and a considerable body of earlier literature is fitted into this cooperative framework. Corresponding weak laws are also established, both conditionally and unconditionally, for random pooling strategies.

Cover Periodica Mathematica Hungarica
Periodica Mathematica Hungarica
Print ISSN:
0031-5303
Online ISSN:
1588-2829
Keywords:
entropy; St. Petersburg games; cooperative players; deterministic and random pooling strategies; laws of large numbers.

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