Matching pennies, Game Theory

 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 "different." Then, every kid conceals in her palm a penny either with its face up or face down. each coins are revealed simultaneously. If they match (both are heads or each are tails), the kid "same" wins. If they're totally different (one heads and one tails), "different" wins. the sport is corresponding to "odds or evens" and quite just like a 3 strategy version - rock, paper, scissors.

Description

The game is zero add. the sole equilibrium is in mixed methods. every plays every strategy with equal chance, leading to an expected payoff of zero for every player

Example



same



heads

tails

different

heads

-1,1

1,-1

tails

1,-1

-1,1

General Form



Player 2



L

R

Player 1

U

a,w

b,x

D

c,y

d,z

Where the following relations hold:
c = b = -a = -d 
w = z = -x = -y

 

Posted Date: 7/21/2012 4:32:10 AM | Location : United States







Related Discussions:- Matching pennies, Assignment Help, Ask Question on Matching pennies, Get Answer, Expert's Help, Matching pennies Discussions

Write discussion on Matching pennies
Your posts are moderated
Related Questions
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

A strategy defines a collection of moves or actions a player can follow in a very given game. a method should be complete, defining an action in each contingency, together with peo

Two individuals, Player 1 and Player 2, are competing in an auction to obtain a valuable object. Each player bids in a sealed envelope, without knowing the bid of the other player.

Winner of the Nobel Prize in 1972, Hicks is acknowledged mutually of the leading economists normally equilibrium theory. he's credited with the introduction of the notion of elasti

In a Variable add game, the add of all player's payoffs differs counting on the methods they utilize. this can be the other of a continuing add game during which all outcomes invol

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

Rules of Snake Eyes (small variation on game called Craps in USA) Player rolls two dice. On the first roll if the total of the dice is 2 (snake eyes): player wins and rece

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

Find the pure-strategy Nash equilibrium Alice is on vacation in Wonderland and considers trying a special mushroom sold by the caterpillar. She cannot tell upfront if the mush

Find Pure Nash Equilibria 1. Consider a two-player game in which player 1 chooses the strategy x 1 from the closed interval [-1, 1] while player 2 chooses the strategy x 2 fr