Game:adding numbers—lose if go to 100 or over (win at 99), Game Theory

GAME Adding Numbers—Lose If Go to 100 or Over (Win at 99)

 
In the second ver- sion, two players again take turns choosing a number be- tween 1 and 10 (inclusive), and a cumulative total of their choices is kept. This time, the player who causes the total to equal or exceed 100 is the loser.

The first pair starts by choosing numbers more or less at random, until the total drifts into the 90s and the player with the next turn clinches a win by taking the total to 99. The second (or maybe third) time you play, when the total gets somewhere in the 80s, one of that pair will realize that she wins if she takes the total to 88. When she does that, the other will (probably) realize that she has lost, and as she concedes, the rest of the class will realize it, too. The next pair will quickly settle into subgame-perfect play as in the first version. Eventually everyone will have figured out that starting at 0 (being the first mover) guarantees not a win but a loss. In this version of the game, it is better to go second: let the first player choose any number and then say 11 minus what the other says. Here, the second player takes the total succes- sively to 11, 22, . . ., 77, 88, 99; the first player must then take the total to 100 (or more) and lose. You can hold a brief discussion comparing the two versions of the game; this helps make the point about order advantages in different games.

Posted Date: 9/27/2012 1:29:20 AM | Location : United States







Related Discussions:- Game:adding numbers—lose if go to 100 or over (win at 99), Assignment Help, Ask Question on Game:adding numbers—lose if go to 100 or over (win at 99), Get Answer, Expert's Help, Game:adding numbers—lose if go to 100 or over (win at 99) Discussions

Write discussion on Game:adding numbers—lose if go to 100 or over (win at 99)
Your posts are moderated
Related Questions
Matching Pennies Scenario To determine who is needed to try to to the nightly chores, 2 youngsters initial choose who are represented by "same" and who are represented by "diffe

To give Mom a day of rest, Dad Plans to take his two children, Bart and Cassie, on an outing on Sunday.Bart prefers to go to the amusement park (A), Whereas Cassie prefers to go to

Yankee auction typically implies a multiunit discriminatory English auction. not like a Vickrey auction where every winning bidder pays identical worth for every unit, in a very ya

saaaaaaasfffffffffffffffffffaaaczzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz

An auction during which many (more than one) things are offered for sale. Mechanisms for allocating multiple units embody discriminatory and uniform worth auctions.

The Prisoners’ Dilemma Game The idea that tacit cooperation can be sustained in an ongoing relationship is very simple and students easily accept it. The formal analysis

"Assurance game" is a general name for the game more commonly known as "Stag Hunt." The French philosopher, Jean Jacques Rousseau, presented the subsequent circumstances. Two hunte

Ship, Captain and Crew (sometimes called Ship, Captain and Mate) was a popular bar game played for drinks with five dice and throwing cup. Each player gets three throws. He has to

Evolutionary game theory provides a dynamic framework for analyzing repeated interaction. Originally modeled when "natural models" of fitness, a population might contains folks gen

In many cases we are interested in only one (or a few) of the equations of the model and attempts to measure its parameters statistically without a complete knowledge of the entire