Solution of Wald's game using loadings and allowed strategies

Valerio Capraro

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arXiv · 1106.3679

Solution of Wald's game using loadings and allowed strategies

Valerio Capraro

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Abstract

We propose a new interpretation of the strange phenomena that some authors have observed about the Wald game. This interpretation is possible thanks to the new language of \emph{loadings} that Morrison and the author have introduced in a previous work. Using the theory of loadings and allowed strategies, we are also able to prove that Wald's game admits a \emph{natural} solution and, as one can expect, the game turns out to be fair for this solution. As a technical tool, we introduce the notion of \emph{embedding a game into another game} that could be of interest from a theoretical point of view. \emph{En passant} we find a very easy example of a game which is loadable in infinitely many different ways.

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Valerio Capraro. 2012-03-11. Solution of Wald's game using loadings and allowed strategies. https://arxiv.org/abs/1106.3679

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