In the previous article, we explored the theoretical applicability of Traits Semantics to live Texas Hold’em poker. In this article, we begin to examine the practical application of this new paradigm, where mathematics plays an instrumental role rather than a guiding one.
Considering Poker Theory [Sklansky, 1987], the goal is to define the smallest amount of information expressible by the smallest constituent unit of the deck of 52 cards, called “Information Unit – Ui”. This unit must not be further decomposable. It involves breaking down the deck for each of its smallest constituent parts, similar to the concept of “phoneme” introduced by Hjelmslev (1943) in the field of linguistics. Each elementary component of the card deck can be considered as a letter of a 52-letter alphabet, which combines with the others to generate information.
Information Value (Vi) in Live Texas Hold’em Poker
The next step is to quantify the Information Value (Vi) of Ui, defined as the potentially expressible quantitative capacity of information of each single element present within the deck. Using the definition of information [Anolli, 2012], the author calculates Vi based on the Information Completeness Theorem (TCI) in live poker for each phase of the spot.
As a result, the information value Vi is expressed with the following formula:
Vi = Ic / (Ui * M)
The formula expresses with this value the portion of information expressible by each single element and to which it is potentially possible to access.
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