Kuhn poker

 

Kuhn poker is a simplified form of poker developed by Dr. Harold W. Kuhn. It is a zero sum two player game. The deck includes only three playing cards, for example a King, Queen, and Jack. One card is dealt to each player, then the first player must bet or pass, then the second player may bet or pass. If any player chooses to bet the opposing player must bet as well "call" in order to stay in the round. After both players pass or bet the player with the highest card wins the pot. Kuhn demonstrated that there are many game theoretic optimal strategies for the first player in this game, but only one for the second player, and that, when played optimally, the first player should expect to lose at a rate of −1/18 per hand.

In more conventional poker terms:

Each player antes 1
Each player is dealt one of the three cards, and the third is put aside unseen
Player One can check or raise 1
If Player One checks then Player Two can check or raise 1
If Player Two checks there is a showdown for the pot of 2
If Player Two raises then Player One can fold or call
If Player One folds then Player Two takes the pot of 3
If Player One calls there is a showdown for the pot of 4
If Player One raises then Player Two can fold or call
If Player Two folds then Player One takes the pot of 3
If Player Two calls there is a showdown for the pot of 4

When the Stakes Turn Toxic

Anyone who’s bought a lottery ticket or played bingo has gambled. Gambling is any game of chance in which money changes hands. It’s common in most cultures around the world. Many people enjoy gambling as recreation without causing harm to themselves or others. Yet some people can’t control their impulse to gamble, even when it takes a terrible toll on their lives.         

For these gamblers and their families, researchers have been making progress in several areas. Scientists are learning why people have problems with gambling: how common it is, what goes on inside the gambler’s brain, which is at risk and what kinds of treatment can help.

Problem gambling is defined by some researchers as gambling that causes harm to the gambler or someone else, in spite of a desire to stop. Between 2% and 4% of Americans struggle with this condition. Problem gambling can progress to a recognized psychiatric diagnosis called pathological gambling.

Pathological gambling may affect from 0.4% to 2% of Americans. “Pathological gambling comes with a constellation of problems that contribute to chaos,” says Dr. Donald Black of the University of Iowa. “It’s associated with worse physical health, excessive smoking, excessive drinking, not exercising, not seeing primary care doctors and worse dental care. It also fuels depression, family dysfunction, crime, bankruptcy and suicide.”

Together, pathological and problem gambling may affect up to 5% of Americans. That number may rise, though. Laws in many states are creating more options for legal gambling, and internet gambling is becoming more common.

Still, gambling is often done in family settings, condoned or encouraged by parents. And the younger you start, the more likely you are to get into trouble later on. From 3% to 8% of adolescents have a problem with gambling.

Dr. John Welte of the University of Buffalo has found that, across the lifespan, gambling problems are even more common than alcohol dependence. They are also much more common in males, in young people, and in people who live in relatively poor neighborhoods. “That’s not true of the prevalence of alcoholism,” says Welte. “Alcoholism is much more democratic. So think about motives for gambling. People are hoping that winning will improve their lot. That makes them more vulnerable to developing a gambling problem.”

In a study of mostly African-American inner-city youth, Dr. Silvia Martins of Johns Hopkins University has found that about 15% have some form of problem gambling. Most at-risk were adolescents and young adults who began showing symptoms of depression at age 12. They were highly impulsive, although not hyperactive or aggressive. As the African-American boys developed into their teens and early adulthood, gambling appeared to be a separate risk factor for early fatherhood and criminal arrest.

“We are following up with these inner-city kids every single year as they enter adulthood,” says Martins.

But why is gambling irresistible to some folks and not others? Using advanced imaging techniques, Dr. Alexander Neumeister of Mount Sinai School of Medicine looked at the brains of people with gambling problems and alcohol problems. He measured the number of special receptors involved in regulating impulse control and other factors.          

“A key feature of addiction is impaired impulse control,” says Neumeister. “Abnormal function of the forebrain leads to reduced tolerance to waiting.” The resulting impatience may cause people to act without considering the consequences. “Our imaging clearly points toward the importance of impaired forebrain function in addiction.”

Pinpointing areas in the brain’s reward center, Neumeister’s team found that people with alcohol addiction and gambling problems show different functioning of these special receptors compared to healthy people. The differences were related to the severity of addiction. Other researchers are trying to develop drugs that could treat the affected areas.

Talk therapy can also help. Dr. Nancy Petry at the University of Connecticut Health Center works with pathological gamblers and people seeking treatment for drug use disorders. Gambling problems arise in about 10% to 20% of substance abusers. Petry compared the use of different types of talk therapy, including very brief interventions and cognitive-behavioral therapy CBT. CBT teaches people how to think differently about problems and then act on that knowledge.

“We found very brief interventions and CBT were effective in reducing gambling and gambling-related problems,” Petry says. “There was a significant improvement relative to usual care or standard forms of treatment like Gamblers Anonymous [a 12-step program].”

Anybody can have a gambling problem, and no one should feel ashamed or be afraid to seek treatment. “Pathological gambling is a medical disorder, not a sin or a vice,” says Dr. Carlos Blanco of Columbia University and the New York State Psychiatric Institute. “There is no stereotype. The main predictor of outcome is really motivation.”

In other words, what counts most is a strong drive or desire to take action. Blanco offers gamblers motivational interviewing, which helps them explore their mixed feelings about trying to quit gambling. This primes them to be ready and willing to begin CBT. Using both therapies together can be very effective.

If you have concerns about your gambling, ask for help. Your health provider can work with you to find the treatment that’s best for you.

Slot Machine Terminology

Bonus is a special feature of the particular game theme, which is activated when certain symbols appear in a winning combination. Bonuses vary depending upon the game. Some bonus rounds are a special session of free spins the number of which is often based on the winning combination that triggers the bonus, often with a different or modified set of winning combinations as the main game, and often with winning credit values increased by a specific multiplier, which is prominently displayed as part of the bonus graphics and/or animation. In other bonus rounds, the player is presented with several items on a screen from which to choose. As the player chooses items, a number of credits is revealed and awarded. Some bonuses use a mechanical device, such as a spinning wheel, that works in conjunction with the bonus to display the amount won.

Candle is a light on top of the slot machine. It flashes to alert the operator that change is needed, hand pay is requested or a potential problem with the machine.

Carousel refers to a grouping of slot machines, usually in a circle or oval formation.

Coin hopper is a container where the coins that are immediately available for payouts are held. The hopper is a mechanical device that rotates coins into the coin tray when a player collects credits/coins by pressing a Cash Out button. When a certain preset coin capacity is reached, a coin diverter automatically redirects, or drops, excess coins into a drop bucket or drop box. Unused coin hoppers can still be found even on games that exclusively employ Ticket-In Ticket-Out technology, as a vestige.

Credit meter is a visual LED display of the amount of money or credits on the machine. On video reel machines this is either a simulated LED display, or represented in a different font altogether, based on the design of the game graphics.

Drop bucket or drop box is a container located in a slot machine's base where excess coins are diverted from the hopper. Typically, a drop bucket is used for low denomination slot machines and a drop box is used for high denomination slot machines. A drop box contains a hinged lid with one or more locks whereas a drop bucket does not contain a lid. The contents of drop buckets and drop boxes are collected and counted by the casino on a scheduled basis.

EGM is used as shorthand for Electronic Gaming Machine.

Hand pay refers to a payout made by an attendant or at an exchange point cage, rather than by the slot machine itself. A hand pay occurs when the amount of the payout exceeds the maximum amount that was preset by the slot machine's operator. Usually, the maximum amount is set at the level where the operator must begin to deduct taxes. A hand pay could also be necessary as a result of a short pay.

Hopper fill slip is a document used to record the replenishments of the coin in the coin hopper after it becomes depleted as a result of making payouts to players. The slip indicates the amount of coin placed into the hoppers, as well as the signatures of the employees involved in the transaction, the slot machine number and the location and the date.

MEAL book Machine entry authorization log is a log of the employee's entries into the machine

Low Level or Slant Top slot machines include a stool so the player has sit-down access. Stand Up or Upright slot machines are played while standing.

Optimal play is a payback percentage based on a gambler using the optimal strategy in a skill-based slot machine game.

Pay line is a straight or zigzagged line that crosses through one symbol on each reel, along which a winning combination is evaluated. Classic spinning reel machines usually have up to nine pay lines, while video slot machines may have as many as one hundred.

Rollup is the process of dramatizing a win by playing sounds while the meters count up to the amount that has been won.

Short pay refers to a partial payout made by a slot machine, which is less than the amount due to the player. This occurs if the coin hopper has been depleted as a result of making earlier payouts to players. The remaining amount due to the player is either paid as a hand pay or an attendant will come and refill the machine.

Taste is a reference to the small amount often paid out to keep a player seated and continuously betting. Only rarely will machines fail to pay out even the minimum placed bet over the course of several pulls.

Display screen of a slot machine in tilt mode

Tilt Electromechanical slot machines usually include an electromechanical tilt switch, which makes or breaks a circuit if the machine is tilted or otherwise tampered with, and so triggers an alarm. While modern machines no longer have tilt switches, any kind of technical fault door switch in the wrong state, reel motor failure, out of paper, etc. is still called a tilt.

Theoretical Hold Worksheet A document provided by the manufacturer for all slot machines, which indicates the theoretical percentage that the slot machine should hold based on the amount paid in. The worksheet also indicates the reel strip settings, number of coins that may be played, the payout schedule, the number of reels and other information descriptive of the particular type of slot machine.

Weight count is an American term, referring to the dollar amount of coins or tokens removed from a slot machine's drop bucket or drop box and counted by the casino's hard count team through the use of a weigh scale.