What exactly is information in poker? We are not talking about tells, or about how to read your opponents: the question comes before that. A hundred things happen in a single spot — cards being revealed, bets, reaction times, attitudes — and before asking how much information a player holds, you have to establish what counts as information in the first place. It is the step almost everyone skips, and without it there is nothing to measure.
- What actually counts as information at the table
- At the table you don’t only count chips
- The difference that makes information
- A revealed card is not information yet
- Why this definition makes poker measurable
What actually counts as information at the table
The study starts from a methodological constraint: before proceeding to quantify the information that can be acquired — and regardless of the individual skills of each player — the concept of information must be defined from a scientific standpoint.
It sounds like an academic preamble, and it is instead the point where everything is decided. Raw material keeps arriving at the table: a card being revealed, a bet, the time an opponent takes, the way they arrange their chips. Calling all of this “information” indiscriminately amounts to calling none of it information. Until you establish which part of that flow really counts, there is nothing to count — and therefore nothing to measure. It is a definition that has to hold for anyone sitting at the table, regardless of how good they are at using it: the measure comes before the skill, not after.
At the table you don’t only count chips
The scientific definition comes from an unexpected direction for a player. Information, Luigi Anolli explains, is a basic dimension of reality, alongside mass and energy, and cannot be encompassed within them. This is not a figure of speech: it is an autonomous quantity, one that will not be reduced to matter or to energy.
At the table the translation is immediate. The chips in front of you can be counted and stacked, and we have seen how much they weigh on what you can do. But something else circulates in that same spot which nobody counts and which is just as real. It is not a player’s impression: it is a quantity in its own right.
That it has become central today is no accident. We live in what is called the information society: the internet and computer-mediated communication have imposed a new way of perceiving, understanding and interpreting reality, shifting attention away from theories of social action grounded in a priori rationality — of Weberian descent — towards those in which acting is governed by the need to relate to others.
The difference that makes information
The first attempt to define communication formally is the mathematical model of Shannon and Weaver (1949), which we discussed elsewhere. Only one thing matters here: the definition of information on which that model rests.
It is the one given by Gregory Bateson (1979): information is the perception of a difference. Shannon understands it as a discrete, observable and measurable quantity — and it is precisely those three adjectives that make the difference for our argument. Discrete, because it comes in units that can be told apart rather than as an undifferentiated flow; observable, because the difference shows itself and does not stay locked inside the player’s head; measurable, because whatever can be distinguished and observed can, in principle, also be counted.
At the table it works exactly like that. On the turn a card falls and the picture changes: the texture of the board was one thing a moment earlier, now it is another. What informs you is not the card itself, but the gap it introduces compared with the instant before. If that card changed nothing — if it produced no perceptible difference — it would have told you nothing at all, however plainly visible it is on the table.
A revealed card is not information yet
From this follows a consequence worth spelling out: information is not the datum itself, but what passes from the one who sends to the one who receives. The datum is the carrier; the information is what travels on it.
Hence the operational definition the study adopts, again from Anolli, chosen because it suits its purpose best: information is the value of probability that is realised within many combinatorial possibilities — a range of choices among a set of symbols.
Translated to the table, it is the most concrete of the three. The revealed card is the datum. The information is the range that card opens and closes: which combinations become possible, which are ruled out, which become more likely than they were an instant earlier. Two players look at the same piece of card and receive different information, because the range it opens is different for each of them.
Why this definition makes poker measurable
Here you see why the choice of that definition is not an erudite detail. If information is a value of probability within a set of combinations, then it stops being a sensation and becomes a quantity: something that can be attributed, compared, and assigned to each phase of the hand.
That is exactly what was needed. What players call intuition — the feeling of knowing something more on the turn than they did pre-flop — becomes a quantity that can be estimated, rather than a mysterious talent. And it is the basis on which the Skill Poker Index rest, and the reason why the weight of chance can be contained rather than merely endured. Note, however: it does not mean poker is reduced to a calculation. It means that part of what happens in a hand leaves the realm of anecdote and enters an order of magnitude.
In the next article we will see how this definition makes it possible to reread, in structural terms, a classic theory of poker literature: David Sklansky’s fundamental theorem of poker.
