from rock, paper, scissors to street fighter ii: proof by construction yotam i. gingold
Post on 22-Dec-2015
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From Rock, Paper, Scissors to Street Fighter II:Proof by ConstructionYotam I. Gingold
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Rock, Paper, Scissors
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Matching Pennies
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Game TheoryOptimal strategy is choosing
randomly. On average, outcome is a draw.
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The class of RPS-style gamesA competitive series of
decisions with no long-term advantage accumulation and access at every decision to a set of moves that include trumps of opponents’ moves
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Choices Graph
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Choices Graph
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Sinks have no trump
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Poker
Credit: Kevin Labianco
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Long-term strategy gamesAdvantage accumulation
Credit: Simon Pais
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Variations
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Street Fighter II
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The Dojo / Kung Fu movies
Credit: myo_sim
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Button mashing
Credit: Advanced Media, Inc.
Randomly choosing throws
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Street Fighter II variants
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Future WorkChoice graph for Street Fighter
IIConstructive analysis on other
game types
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Space Invaders and Doom
Space Invaders
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Space Invaders and Doom
Space InvadersAsteroidsCentipede
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Space Invaders and Doom
Space InvadersAsteroidsCentipede
Robotron 2084Crystal Quest
Contra
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Space Invaders and Doom
Space InvadersAsteroidsCentipede
Robotron 2084Crystal Quest
ContraDoom
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AcknowledgementsCasey Muller, NYU colleagues,
the anonymous reviewers, and Adobe
Contact: [email protected]
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fin
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Mike Tyson’s Punch-Out
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Variations