Saturday, February 27, 2010

I did it

If you close your eyes real tight and wish really, really hard (and, I guess, click your heels together), your wishes will come true.

I've kept half of my streak alive.

That's a quote from Danny Boy's blog. I think he really believes that a lucky streak is the result of his concentrating really hard on being lucky.

I think he's so funny.


Tuesday, February 23, 2010

Review of Complete Book of Casino Poker

Let's Play Casino has a review of The Complete Book of Casino Poker.
The book's unique contribution to poker literature is Carson's 5-dimensional model of poker players. Just about everyone who plays poker is aware of Alan Schoonmaker's tight-loose and passive-aggressive dimensions. Carson finds these two dimensions insufficient, and he adds three more of his own: weak-tenacious, rational-irrational, and tricky-straightforward.


Thursday, February 18, 2010

Counter-factual thinking

This is an interesting short video on the value of counter-factual thinking.

Although they talk about it in terms of a life narrative it's also a valuable way to approach a self-evaluation of your poker game.

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Thursday, February 11, 2010

Marriage tips

Doyle and his wife give some tips on a long-lasting marriage in the Wall Street Journal
• Keep (some) secrets. When poker legend Doyle Brunson met his wife Louise at a country-and-western club in Texas in 1961, he told her he gambled for a living. And she accepted him for who he is. "Love is the most important thing," says Louise Brunson, 78. "You have to love your spouse more than life itself."

The Brunsons, who live in Las Vegas, have stood by each other through some serious trials in their 47 years of marriage, including the death of a daughter and an armed robbery of their home, during which they were tied up at gunpoint.

"You have to go forward, you can't go back," says Mr. Brunson, 76. Even so, the Brunsons don't share everything. He doesn't discuss his business with her. "I have won and lost millions of dollars without her knowing," he says. Ms. Brunson says that's just fine with her. "I have my own bank account," she says.


Tuesday, February 09, 2010

Risk Tolerance for Poker Players

Decision analysis is bundle of procedures and concepts used in the analysis of the decision making process. I’m going to describe some of those procedures and concepts as they might apply to the analysis of decision making situations in poker.

Outcome is the result of either your decision or of the unrolling of a previously unrevealed state of nature. The value of the next card to be turned is an outcome, as is whether you win or lose a bet. The level of detail we use when describing outcomes will vary according to the situation. It might seem a little trite to go to the trouble to discuss the concept of an outcome but it’s important to keep in mind that we mean something specific while at the same time we aren’t always talking about the same level of specificity.

I’ll use the symbol X to denote outcome and the lower case x to denote a particular realization of the outcome. For example the result from flipping a coin is X and we have either x=tails or x=heads.

Outcomes don’t have to be expressed in numerical terms. For example, the outcomes might be the turn card is a spade. But we should be able to assign some sort of numerical value to an outcome.

Value of an outcome will be denoted by the functional notation V(x).

Probability is a way of expressing knowledge or belief that something will occur or has occurred. The study of probability began with Cardano in the 16th century and full development of the concept is attributed to Fermat and Pascal in the 17th century. The beginnings of probability theory is rooted in the analysis of gambling games. Cardano doesn’t often get full credit for his work on the fundamentals of probability theory because his work wasn’t published until after his death, and because it wasn’t translated from Latin into English until the early 1950’s.

In the 18th century Thomas Simpson applied concepts of probability to the study of errors in astronomical observations. But decision analysis tends to follow the branch of the development of probability theory that’s related to the analysis of gambling games.

The functional notation P(x) is used to denote the probability of x occurring.

Expected value is a technical concept that’s central to the application of decision theory or probability theory to poker. It’s simply the sum of all the outcome values multiplied by the probability of each outcome. We write E(x) = Sum[V(x)*P(x)].

A gamble is an uncertain event with two or more possible outcomes. We can often think of a coin flip where we either win or we lose, and there’s an associated value with each of the possible outcomes. In poker we tend to think of gambles as having discrete outcomes, although it can be more than 2 outcomes. For example the next card might complete our flush, corresponding to a large win, or it might pair our high card, corresponding to a moderate win, or it might miss us entirely, corresponding to a loss.

The certainty equivalent of a gamble is the fixed amount you would accept (or pay) in exchange for the gamble. This idea is where the concept of Risk Tolerance begins to take form. We’ll often think of the amount we would pay for a gamble as simply the expected value of a gamble. If we flip a fair coin and pay $1 for heads and get $1 for tails the expected value is E(coin flip) = .5*(1) + .5(-1) = 0. Flipping a biased coin might have an expected value of E(coin flip) = .6*(1) + .4(-1) = +.2

Notice that it’s important for Sum[P(x)] = 1.

It’s common to argue that we should be indifferent to a gamble that has a zero expected value and be willing to take any gamble that has a positive expected value. David Sklansky is well known for making this argument (see David Sklansky, Getting the Best of It, Two Plus Two Publishing, 1982). But that argument doesn’t really hold up to scrutiny. Just because I’m willing to take an even money coin flip for $1 should you actually expect me to be willing to make that same coin flip for $1,000?

I don’t think so.


The rest of it is available at Smashwords.

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