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

Bid rigging, A practice analogous to price fixing in which auction members ...

A practice analogous to price fixing in which auction members form a ring whose associates agree not to bid against each other, either by discarding the auction or by placing phony

Absolute auction, A general term for an English auction in which there is n...

A general term for an English auction in which there is no reserve price, guaranteeing that the object will be sold to the highest bidder regardless of the quantity of the bid.

nim game, Matches or different objects are organized in 2 or a lot of pile...

Matches or different objects are organized in 2 or a lot of piles. Players alternate removing some or all of the matches from anyone pile. The player to get rid of the last match w

NAsh equilibrium, Consider a game in which player 1 chooses rows, player 2 ...

Consider a game in which player 1 chooses rows, player 2 chooses columns and player 3 chooses matrices. Only Player 3''s payoffs are given below. Show that D is not a best response

What do meant by monopolistic competition, What do meant by Monopolistic co...

What do meant by Monopolistic competition? Monopolistic competition is a market structure wherein: 1. There are several competing producers into an industry, 2. Every pro

Ordinal payoffs, Ordinal payoffs are numbers representing the outcomes of a...

Ordinal payoffs are numbers representing the outcomes of a game where the worth of the numbers isn't vital, however solely the ordering of numbers. for instance, when solving for a

Fighting for survival, Two animals are fighting over a prey. The prey is wo...

Two animals are fighting over a prey. The prey is worth v to each animal. The cost of fighting is c1 for the first animal (player 1) and c2 for the second animal (player 2). If the

Find the perfect sub game nash equilibrium, Suppose that the incumbent mono...

Suppose that the incumbent monopolist, in the previous question, can decide (before anything else happens) to make an irreversible investment in extra Capacity (C), or Not (N). If

Explain the financial system terms definitions, Explain the financial syste...

Explain the financial system terms definitions. The Financial System Definitions: Wealth It is sum of Current Savings and Accumulated Savings Financial asset P

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

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