Matching pennies, Game Theory

Assignment Help:

 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

 


Related Discussions:- Matching pennies

Games sequential moves-game played b/w pitcher and batter, Problem: Consid...

Problem: Consider a (simplified) game played between a pitcher (who chooses between throwing a fastball or a curve) and a batter (who chooses which pitch to expect). The batter ha

Strictly dominant strategy , A strategy is strictly dominant if, no matter ...

A strategy is strictly dominant if, no matter what the other players do, the strategy earns a player a strictly higher payoff than the other. Hence, a method is strictly dominant i

Fixed worth auction, Not technically an auction, however a posted-price pro...

Not technically an auction, however a posted-price procedure during which the auctioneer sets a worth and sells to the primary bidder willing to pay it. The auction ends as soon as

Trigger strategy, A strategy sometimes applied to repeated prisoner's dilem...

A strategy sometimes applied to repeated prisoner's dilemmas during which a player begins by cooperating however defects to cheating for a predefined amount of your time as a respo

Tower defense, Tower defense - is a subgenre of real-time strategy games. T...

Tower defense - is a subgenre of real-time strategy games. The goal of tower defense games is to try to stop enemies from crossing a map by building towers which shoot at them as t

Simultaneous game, A simultaneous game is one during which all players buil...

A simultaneous game is one during which all players build choices (or choose a strategy) while not information of the methods that are being chosen by different players. Although t

Repeated game, When players interact by enjoying an identical stage game (s...

When players interact by enjoying an identical stage game (such because the prisoner's dilemma) varied times, the sport is termed a repeated game. not like a game played once, a re

Extensive kind, The in depth kind (also referred to as a game tree) may be ...

The in depth kind (also referred to as a game tree) may be a graphical illustration of a sequential game. It provides data concerning the players, payoffs, strategies, and also the

Three words, if the first three words are "the boy''s down" what are the la...

if the first three words are "the boy''s down" what are the last three words?

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