Coherence of countably many bets
Probability
2013-05-08 v1
Abstract
De Finetti's betting argument is used to justify finitely additive probabilities when only finitely many bets are considered. Under what circumstances can countably many bets be used to justify countable additivity? In this framework, one faces issues such as the convergence of the returns of the bet. Generalizations of de Finetti's argument depend on what type of conditions on convergence are required of the bets under consideration. Two new such conditions are compared with others presented in the literature.
Keywords
Cite
@article{arxiv.1303.6981,
title = {Coherence of countably many bets},
author = {Rafael Bassi Stern and Joseph Born Kadane},
journal= {arXiv preprint arXiv:1303.6981},
year = {2013}
}
Comments
15 pages