The Unofficial Deal or No Deal Strategy Guide

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However, the offers from the banker almost never exceed the average value of the unopened cases. Thus, if contestants always chose this strategy, the game would be boring as it would consist of contestants always declining offers and continuing to open cases until the end or until the banker's offer exceeds expected value. However, the game becomes interesting when other strategies that involve optimizing for parameters beyond expected value. A contestant who declines the banker's offer is accepting the risk that he may win less than that offer. Different people have different degrees of risk tolerance.

The game's deceptively simple format has attracted attention from mathematicians, statisticians, and economists as a study of decision making under risk: It is an excellent instructive example of the application of utility theory. In , a team of economists played a scaled-down version of the game with 84 participants and compared the results with the expected utility hypothesis.

At the start of a standard game of the U. Before any deal is offered, the contestant must select 6 cases to be eliminated. One should not consider only the perspective of the contestant who wins the prize, as this is a two player game, with the banker being the other player. Because the banker plays a large number of games, which greatly reduces his risk, he can be extremely tolerant of the remaining risk and adopt a strategy that seeks to minimize the expected value of the prizes that contestants win.

However, the expected value he seeks to minimize is not on a per game basis, as is the case for the contestant, but on a per hour of play basis. This helps to explain why the banker's first few offers are only a small fraction of the expected value of the remaining cases. An optimal banker will only make offers that from his perspective improve upon the expected value per hour of play.

Deal or No Deal: A Statistical Deal

From the contestant's perspective this becomes a premium he must pay to end the game early. Typically a contestant enters the game with an idea of what he considers to be a minimum satisfactory prize. So long as the contestant can continue the game without significant risk of knocking out all of the prizes above that minimum, he will do so.


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What the contestant considers satisfactory may change during the game as the remaining prizes change. Thus a player is likely to desire to continue playing while the risk is low. By the time of the fourth offer there are eight remaining cases. At this point in the game there is only a 4.

Hence a contestant is also unlikely to accept an early offer. At the start of the game, the contestant is allowed to choose one case. Many of these contestants make decisions based on believing that they they have chosen the million dollar case or one of the other five higher-value cases. As the game goes on, this generally causes the contestant to take unnecessary risks and to not accept the banker's offer, even though the offer may be higher than the expected outcome of the average value of the remaining cases.

This phenomena of human behavior i. The desirability of continuing the game diminishes for both players as the number of prizes satisfactory to the contestant remaining in the game diminish. Follow the dark path or use the light. Remember Me Forgot Password. Guides Cheats Answers Forums.

Deal or No Deal Cheats, Wii

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Latest Deal or No Deal Game Report

Unlock ALL other Achievements. Knew When To Hold 'em: Win 3 games of Blackjack. Play 5 games as a contestant, and 5 games as the Banker.

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Lady Luck Be Kind: Win 3 games of Push Your Luck. Finish Sharp Shooter with the max point multiplier. Send 'em Home Packing: Get first place in a minigame with a human opponent. You Gotta Have Friends: Play 5 games with a human opponent.


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