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

Rollback , Rollback (often referred to as backward induction) is an iterati...

Rollback (often referred to as backward induction) is an iterative method for solving finite in depth kind or sequential games. First, one determines the optimal strategy of the pl

Game:adding numbers—lose if go to 100 or over (win at 99), GAME Adding Numb...

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 cumulati

Find a bayesian nash equilibrium, In Bontemps, Louisiana there are only two...

In Bontemps, Louisiana there are only two places to spend time: Merlotte's bar and Fangtasia. Sookie and Eric have made plans to spend Friday night together, but they never decided

NETWORK MARKETING, recently i joined a network marketing company called ebi...

recently i joined a network marketing company called ebiz.com. am worried about its legality and functioning.. please help if netwok marketing works?

Payoff matrix, 1. The publishing industry in the country of Font, where the...

1. The publishing industry in the country of Font, where the local currency is the stet, is dominated by two companies, the Arial Book Co. and Verdana Works Ltd.. Currently, both o

Symmetric game, Scenario Any game during which the identity of the playe...

Scenario Any game during which the identity of the player doesn't amendment the ensuing game facing that player is symmetric. In different words, every player earns identical pa

Determine the bayesian nash equilibrium of a game, Stanley is auctioning an...

Stanley is auctioning an item that he values at zero. Betty and Billy, the two potential buyers, each have independent private values which are drawn from a uniform distribution, P

Cardinal payoffs, Cardinal payoffs are numbers representing the outcomes of...

Cardinal payoffs are numbers representing the outcomes of a game where the numbers represent some continuum of values, such as money, market share or quantity. Cardinal payoffs per

Hawk-dove game , Scenario The hawk-dove game is additionally commonly ca...

Scenario The hawk-dove game is additionally commonly called the sport of chicken. 2 hooligans with one thing to prove drive at one another on a slender road. The primary to swer

Game playing in class-2 players take turns choosing a number, Problem:-Two ...

Problem:-Two players take turns choosing a number between 1 and 10 (inclusive), and a cumulative total of their choices is kept. The player to take the total exactly to 100 is the

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