### Abstract

Original language | English |
---|---|

Title of host publication | Algorithmic Game Theory |

Subtitle of host publication | 5th International Symposium, SAGT 2012, Barcelona, Spain, October 22-23, 2012, Proceedings |

Editors | Maria Serna |

Publisher | Springer Verlag |

Pages | 13-24 |

Number of pages | 12 |

ISBN (Electronic) | 9783642339967 |

ISBN (Print) | 9783642339950 |

DOIs | |

Publication status | Published - 2012 |

Event | International Symposium on Algorithmic Game Theory - Heidelberg Duration: 22 Oct 2012 → 23 Oct 2012 |

### Publication series

Name | Lecture Notes in Computer Science |
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Publisher | Springer Verlag |

Volume | 7615 |

ISSN (Print) | 0302-9743 |

### Conference

Conference | International Symposium on Algorithmic Game Theory |
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Period | 22/10/12 → 23/10/12 |

### Fingerprint

### Bibliographical note

Proceedings title: Algorithmic Game TheoryPublisher: Springer

Place of publication: Heidelberg

### Cite this

*Algorithmic Game Theory: 5th International Symposium, SAGT 2012, Barcelona, Spain, October 22-23, 2012, Proceedings*(pp. 13-24). (Lecture Notes in Computer Science; Vol. 7615). Springer Verlag. https://doi.org/10.1007/978-3-642-33996-7_2

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*Algorithmic Game Theory: 5th International Symposium, SAGT 2012, Barcelona, Spain, October 22-23, 2012, Proceedings.*Lecture Notes in Computer Science, vol. 7615, Springer Verlag, pp. 13-24, International Symposium on Algorithmic Game Theory, 22/10/12. https://doi.org/10.1007/978-3-642-33996-7_2

**Selfishness Level of Strategic Games.** / Apt, K.; Schäfer, G.

Research output: Chapter in Book / Report / Conference proceeding › Conference contribution › Academic › peer-review

TY - GEN

T1 - Selfishness Level of Strategic Games

AU - Apt, K.

AU - Schäfer, G.

N1 - Proceedings title: Algorithmic Game Theory Publisher: Springer Place of publication: Heidelberg

PY - 2012

Y1 - 2012

N2 - We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be offered to each player to achieve that a social optimum is realized in a pure Nash equilibrium. The selfishness level is unrelated to the price of stability and the price of anarchy and in contrast to these notions is invariant under positive linear transformations of the payoff functions. Also, it naturally applies to other solution concepts and other forms of games. We study the selfishness level of several well-known strategic games. This allows us to quantify the implicit tension within a game between players' individual interests and the impact of their decisions on the society as a whole. Our analysis reveals that the selfishness level often provides more refined insights into the game than other measures of inefficiency, such as the price of stability or the price of anarchy. © 2012 Springer-Verlag.

AB - We introduce a new measure of the discrepancy in strategic games between the social welfare in a Nash equilibrium and in a social optimum, that we call selfishness level. It is the smallest fraction of the social welfare that needs to be offered to each player to achieve that a social optimum is realized in a pure Nash equilibrium. The selfishness level is unrelated to the price of stability and the price of anarchy and in contrast to these notions is invariant under positive linear transformations of the payoff functions. Also, it naturally applies to other solution concepts and other forms of games. We study the selfishness level of several well-known strategic games. This allows us to quantify the implicit tension within a game between players' individual interests and the impact of their decisions on the society as a whole. Our analysis reveals that the selfishness level often provides more refined insights into the game than other measures of inefficiency, such as the price of stability or the price of anarchy. © 2012 Springer-Verlag.

U2 - 10.1007/978-3-642-33996-7_2

DO - 10.1007/978-3-642-33996-7_2

M3 - Conference contribution

SN - 9783642339950

T3 - Lecture Notes in Computer Science

SP - 13

EP - 24

BT - Algorithmic Game Theory

A2 - Serna, Maria

PB - Springer Verlag

ER -