On finite harmonic games

Changxi Li; Ting Liu; Fenghua He; Daizhan Cheng; Hongsheng Qi; Yiguang Hong

doi:10.1109/CDC.2016.7799351

On finite harmonic games

Changxi Li
, Ting Liu
, Fenghua He
, Daizhan Cheng^*
, Hongsheng Qi
, Yiguang Hong

^*Corresponding author for this work

School of Astronautics

Harbin Institute of Technology
Chinese Academy of Sciences

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

4 Scopus citations

Abstract

Two fundamental problems about finite pure harmonic games are investigated in this paper. First, the pure Nash equilibrium of finite pure harmonic games (PHGs) is investigated. For the basis games, the number and precise forms of Nash equilibria are presented. For two-player pure harmonic games, the structure of games with pure Nash equilibrium is revealed. Second, the dynamical equivalence to basis games has been discussed for evolutionary pure harmonic games. A necessary and sufficient condition is obtained.

Original language	English
Title of host publication	2016 IEEE 55th Conference on Decision and Control, CDC 2016
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	7024-7029
Number of pages	6
ISBN (Electronic)	9781509018376
DOIs	https://doi.org/10.1109/CDC.2016.7799351
State	Published - 27 Dec 2016
Event	55th IEEE Conference on Decision and Control, CDC 2016 - Las Vegas, United States Duration: 12 Dec 2016 → 14 Dec 2016

Publication series

Name	2016 IEEE 55th Conference on Decision and Control, CDC 2016

Conference

Conference	55th IEEE Conference on Decision and Control, CDC 2016
Country/Territory	United States
City	Las Vegas
Period	12/12/16 → 14/12/16

Access to Document

10.1109/CDC.2016.7799351

Cite this

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title = "On finite harmonic games",

abstract = "Two fundamental problems about finite pure harmonic games are investigated in this paper. First, the pure Nash equilibrium of finite pure harmonic games (PHGs) is investigated. For the basis games, the number and precise forms of Nash equilibria are presented. For two-player pure harmonic games, the structure of games with pure Nash equilibrium is revealed. Second, the dynamical equivalence to basis games has been discussed for evolutionary pure harmonic games. A necessary and sufficient condition is obtained.",

author = "Changxi Li and Ting Liu and Fenghua He and Daizhan Cheng and Hongsheng Qi and Yiguang Hong",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 55th IEEE Conference on Decision and Control, CDC 2016 ; Conference date: 12-12-2016 Through 14-12-2016",

year = "2016",

month = dec,

day = "27",

doi = "10.1109/CDC.2016.7799351",

language = "英语",

series = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

pages = "7024--7029",

booktitle = "2016 IEEE 55th Conference on Decision and Control, CDC 2016",

address = "美国",

}

Li, C, Liu, T, He, F, Cheng, D, Qi, H & Hong, Y 2016, On finite harmonic games. in 2016 IEEE 55th Conference on Decision and Control, CDC 2016., 7799351, 2016 IEEE 55th Conference on Decision and Control, CDC 2016, Institute of Electrical and Electronics Engineers Inc., pp. 7024-7029, 55th IEEE Conference on Decision and Control, CDC 2016, Las Vegas, United States, 12/12/16. https://doi.org/10.1109/CDC.2016.7799351

On finite harmonic games. / Li, Changxi; Liu, Ting; He, Fenghua et al.
2016 IEEE 55th Conference on Decision and Control, CDC 2016. Institute of Electrical and Electronics Engineers Inc., 2016. p. 7024-7029 7799351 (2016 IEEE 55th Conference on Decision and Control, CDC 2016).

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

TY - GEN

T1 - On finite harmonic games

AU - Li, Changxi

AU - Liu, Ting

AU - He, Fenghua

AU - Cheng, Daizhan

AU - Qi, Hongsheng

AU - Hong, Yiguang

PY - 2016/12/27

Y1 - 2016/12/27

N2 - Two fundamental problems about finite pure harmonic games are investigated in this paper. First, the pure Nash equilibrium of finite pure harmonic games (PHGs) is investigated. For the basis games, the number and precise forms of Nash equilibria are presented. For two-player pure harmonic games, the structure of games with pure Nash equilibrium is revealed. Second, the dynamical equivalence to basis games has been discussed for evolutionary pure harmonic games. A necessary and sufficient condition is obtained.

AB - Two fundamental problems about finite pure harmonic games are investigated in this paper. First, the pure Nash equilibrium of finite pure harmonic games (PHGs) is investigated. For the basis games, the number and precise forms of Nash equilibria are presented. For two-player pure harmonic games, the structure of games with pure Nash equilibrium is revealed. Second, the dynamical equivalence to basis games has been discussed for evolutionary pure harmonic games. A necessary and sufficient condition is obtained.

UR - https://www.scopus.com/pages/publications/85010824711

U2 - 10.1109/CDC.2016.7799351

DO - 10.1109/CDC.2016.7799351

M3 - 会议稿件

AN - SCOPUS:85010824711

T3 - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

SP - 7024

EP - 7029

BT - 2016 IEEE 55th Conference on Decision and Control, CDC 2016

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 55th IEEE Conference on Decision and Control, CDC 2016

Y2 - 12 December 2016 through 14 December 2016

ER -

On finite harmonic games

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