Application of twenty one card game, Game Theory

Assignment Help:

This version of Twenty-one is a card game played between a player and the dealer (the computer). The aim of the game is to accumulate a higher point total than the dealer but without going over a total of 21. Your point total is calculated by adding the face value of your individual cards. Each card counts as its face value, except for the face cards (jack, queen and king) which count as 10, and the ace is worth either 1 or 11 (player's choice at the time following the dealing of the card). If the dealer receives an ace it will always count as 11. At start of the game, the player and dealer receives two cards each (face up). The player can keep his hand as it is ( stand) or take more cards from the deck (hit), one at a time, until either the player decides that their hand is sufficient to play against the dealer and stands, or until the total goes over 21, in which case the player immediately loses (busts).

If the player has decided to stand, it is the dealer's turn. If the dealer has 21, (an ace with any 10 point card), the dealer immediately wins. If the dealer does not have 21, the dealer hits (takes more cards) or stands depending on the value of their hand. The only additional rule on the dealer, is that the dealer must hit if the value of their hand is lower than 17.  No such rule applies to the player. If the dealer goes bust, then the player wins. Otherwise whoever has the higher point value wins. If both dealer and player have same point value neither wins.

Sample Game Interaction (Mock-up)

Player has Two, Five

Dealer has Ace, Two

Player hit (H) or stand (S): H

Player has Two, Five, Queen

Player hit (H) or stand (S): S

Player has 17 points

Dealer hit

Dealer has Ace, Two, Four

Dealer hit

Dealer has Ace, Two, Four, Six

Dealer has gone bust (23 points) - you win

You have won 1 games and I have won 0 games

Another Game? (Y or N)


Related Discussions:- Application of twenty one card game

Edgeworth, Living from 1845 to 1926, Edgeworth's contributions to Economics...

Living from 1845 to 1926, Edgeworth's contributions to Economics still influence trendy game theorists. His Mathematical Psychics printed in 1881, demonstrated the notion of compet

Explain about the term game theory, Explain about the term Game Theory. ...

Explain about the term Game Theory. Game Theory: While the decisions of two or more firms considerably influence each others’ profits, in that case they are into a situation

Leadership in an oil production game, Leadership in an Oil Production Game ...

Leadership in an Oil Production Game Students can be broken into pairs to play this game once, witheach student's representing one country; then each shouldswitch partners and

Straight auction, A common term for an English auction, a sort of sequentia...

A common term for an English auction, a sort of sequential auction during which an auctioneer directs participants to beat the present, standing bid. New bids should increase the p

Prisoner''s dilemma , A game frequently displayed in tv police dramas. 2 pa...

A game frequently displayed in tv police dramas. 2 partners in crime are separated into separate rooms at the police station and given an identical deal. If one implicates the oppo

Yankee auction, Yankee auction typically implies a multiunit discriminatory...

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

Perfect data, A sequential game is {one of|one among|one in all|one amongst...

A sequential game is {one of|one among|one in all|one amongst|one in each of} excellent data if just one player moves at a time and if every player is aware of each action of the p

Asynchrony, In a repeated game it is often unspecified that players move co...

In a repeated game it is often unspecified that players move concurrently at predefined time intervals. However, if few players update their policies at different time intervals, t

Bernoulli, Eighteenth century Dutch mathematician codified the notion of ex...

Eighteenth century Dutch mathematician codified the notion of expected utility as a revolutionary approach to risk. He noted that folks don't maximize expected returns however expe

Two player problem of points set up - game theory, a) Show that A c...

a) Show that A counting proof could be fun(?). But any old proof will do. (Note that the coefficients (1,2,1) in the above are just the elements of the second row of Pas

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd