From weighted potential game to weighted harmonic game | Zendy

Wang Yuanhua | Zendy; Liu Ting | Zendy; Cheng Daizhan | Zendy

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From weighted potential game to weighted harmonic game

Author(s) -

Wang Yuanhua,

Liu Ting,

Cheng Daizhan

Publication year - 2017

Publication title -

iet control theory and applications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.059

H-Index - 108

eISSN - 1751-8652

pISSN - 1751-8644

DOI - 10.1049/iet-cta.2016.1454

Subject(s) - linear subspace , harmonic , mathematics , decomposition , space (punctuation) , game theory , mathematical optimization , pure mathematics , computer science , mathematical economics , physics , ecology , quantum mechanics , biology , operating system

It was shown that the vector space of finite non‐cooperative games can be decomposed into three orthogonal subspaces: the pure potential games (PGs) ( P ), non‐strategic games ( N ), and pure harmonic games ( H ). This study proposes the concept of weighted harmonic game, and shows that in the aforementioned decomposition the P can be replaced by weighted pure PGsP w , and the H can be replaced by WPHGsH w . Then the bases for corresponding orthogonal subspaces are presented, respectively. Finally, certain properties of the new decomposed subspaces are investigated.

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