Scenario
To determine who is needed to try to to the nightly chores, 2 youngsters simultaneously build one among 3 symbols with their fists - a rock, paper, or scissors. straightforward rules of "rock breaks scissors, scissors cut paper, and paper covers rock" dictate that image beats the opposite. If each symbols are identical, the sport may be a tie. just like the two-strategy Matching Pennies game.
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
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Child 2
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rock
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paper
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scissors
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Child 1
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rock
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0,0
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-1,1
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1,-1
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paper
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1,-1
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0,0
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-1,1
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scissors
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-1,1
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1,-1
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0,0
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General Form
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Player 2
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L
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C
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R
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Player 1
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U
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a,r
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b,u
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c,x
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M
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d,s
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e,v
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f,y
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D
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g,t
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h,w
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i,z
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Where the following relations hold:
c = d = h = -b = -f = -g; a = e = i = 0
t = u = y = -s = -w -x; r = v = z = 0