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Regulation of game result for n ‐person random evolutionary Boolean games
Author(s) -
Ding Xueying,
Li Haitao,
Alsaadi Fuad E.
Publication year - 2020
Publication title -
asian journal of control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.769
H-Index - 53
eISSN - 1934-6093
pISSN - 1561-8625
DOI - 10.1002/asjc.2119
Subject(s) - computer science , mathematics , boolean network , tensor product , mathematical economics , theoretical computer science , discrete mathematics , boolean function , pure mathematics
This paper investigates the regulation of game result for n ‐person random evolutionary Boolean game (REBG). Using the semi‐tensor product of matrices, the n ‐person REBG together with the reference evolutionary Boolean game are converted into an augmented system. Based on the augmented system, a necessary and sufficient condition is presented for the solvability of the regulation of game result of n ‐person REBG by constructing a series of stochastic reachable sets. The study of an illustrative example shows the effectiveness of the obtained new results.