Skip to main content
Log in

Laws of large numbers for cooperative St. Petersburg gamblers

  • Published:
Periodica Mathematica Hungarica Aims and scope Submit manuscript

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.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Csörgő, S., Simons, G. Laws of large numbers for cooperative St. Petersburg gamblers. Period Math Hung 50, 99–115 (2005). https://doi.org/10.1007/s10998-005-0005-9

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10998-005-0005-9

Navigation