### Abstract

Game theory is a mathematical study of interaction among rational players. This tutorial presents an overview of noncooperative game theory, specifically games in normal-form. In noncooperative game theory in normal-form, multiple players independently and simultaneously select their actions so as to maximize their own utilities. The obtained utility of a player is determined by combination of her own action and the actions of other players. In noncooperative games, various equilibrium concepts have been developed to predict the result of a game. First, we introduce basic notations and equilibrium concepts in noncoperative games. If we explicitly represent a normal form game, the size of the representation grows exponentially as the number of players increases. Thus, we explain the algorithms/computational costs to efficiently find Nash equilibria in graphical games and congestion games, which have been proposed as concise representation schema.

Original language | English |
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Pages (from-to) | 69-84 |

Number of pages | 16 |

Journal | Computer Software |

Volume | 29 |

Issue number | 2 |

DOIs | |

Publication status | Published - Jan 1 2012 |

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### All Science Journal Classification (ASJC) codes

- Software

### Cite this

*Computer Software*,

*29*(2), 69-84. https://doi.org/10.11309/jssst.29.2_69

**Game Theory for Computer Scientists-Noncooperative Games (Basic Theory).** / Yokoo, Makoto; Iwasaki, Atsushi; Sakurai, Yuko; Okamoto, Yoshio.

Research output: Contribution to journal › Article

*Computer Software*, vol. 29, no. 2, pp. 69-84. https://doi.org/10.11309/jssst.29.2_69

}

TY - JOUR

T1 - Game Theory for Computer Scientists-Noncooperative Games (Basic Theory)

AU - Yokoo, Makoto

AU - Iwasaki, Atsushi

AU - Sakurai, Yuko

AU - Okamoto, Yoshio

PY - 2012/1/1

Y1 - 2012/1/1

N2 - Game theory is a mathematical study of interaction among rational players. This tutorial presents an overview of noncooperative game theory, specifically games in normal-form. In noncooperative game theory in normal-form, multiple players independently and simultaneously select their actions so as to maximize their own utilities. The obtained utility of a player is determined by combination of her own action and the actions of other players. In noncooperative games, various equilibrium concepts have been developed to predict the result of a game. First, we introduce basic notations and equilibrium concepts in noncoperative games. If we explicitly represent a normal form game, the size of the representation grows exponentially as the number of players increases. Thus, we explain the algorithms/computational costs to efficiently find Nash equilibria in graphical games and congestion games, which have been proposed as concise representation schema.

AB - Game theory is a mathematical study of interaction among rational players. This tutorial presents an overview of noncooperative game theory, specifically games in normal-form. In noncooperative game theory in normal-form, multiple players independently and simultaneously select their actions so as to maximize their own utilities. The obtained utility of a player is determined by combination of her own action and the actions of other players. In noncooperative games, various equilibrium concepts have been developed to predict the result of a game. First, we introduce basic notations and equilibrium concepts in noncoperative games. If we explicitly represent a normal form game, the size of the representation grows exponentially as the number of players increases. Thus, we explain the algorithms/computational costs to efficiently find Nash equilibria in graphical games and congestion games, which have been proposed as concise representation schema.

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U2 - 10.11309/jssst.29.2_69

DO - 10.11309/jssst.29.2_69

M3 - Article

AN - SCOPUS:84862983259

VL - 29

SP - 69

EP - 84

JO - Computer Software

JF - Computer Software

SN - 0289-6540

IS - 2

ER -