Geodesic
Dynamic structure in a four-strategy game: theory and experiment
Contributions to game theory and management, Tome 15 (2022), pp. 365-385

Voir la notice de l'article provenant de la source Math-Net.Ru

Game dynamics theory, as any field of science, the consistency between theory and experiment is essential. In the past 10 years, important progress has been made in the merging of the theory and experiment in this field, in which dynamics cycle is the presentation. However, the achievement failed to eliminate the constraints of the Euclidean two-dimensional cycle. This paper uses a classic four-strategy game to study the dynamic structure (non-Euclidean superplane cycle). The consistency is in significant between the three ways: (1) analytical results from evolutionary dynamics equations, (2) agent-based simulation results from learning models and (3) laboratory results from human subjects game experiments. The consistency suggests that, the game dynamic structure could be quantitatively predictable, observable, and controllable in general.
Keywords: game theory, laboratory game experiment, eigenvector, eigenmode, dynamics system theory. 
@article{CGTM_2022_15_a26,
     author = {Wang Zhijian and Zhou Shujie and Yao Qinmei and Wang Yijia and Pan Gang},
     title = {Dynamic structure in a four-strategy game: theory and experiment},
     journal = {Contributions to game theory and management},
     pages = {365--385},
     publisher = {mathdoc},
     volume = {15},
     year = {2022},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2022_15_a26/}
}
TY  - JOUR
AU  - Wang Zhijian
AU  - Zhou Shujie
AU  - Yao Qinmei
AU  - Wang Yijia
AU  - Pan Gang
TI  - Dynamic structure in a four-strategy game: theory and experiment
JO  - Contributions to game theory and management
PY  - 2022
SP  - 365
EP  - 385
VL  - 15
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2022_15_a26/
LA  - en
ID  - CGTM_2022_15_a26
ER  - 
%0 Journal Article
%A Wang Zhijian
%A Zhou Shujie
%A Yao Qinmei
%A Wang Yijia
%A Pan Gang
%T Dynamic structure in a four-strategy game: theory and experiment
%J Contributions to game theory and management
%D 2022
%P 365-385
%V 15
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2022_15_a26/
%G en
%F CGTM_2022_15_a26
Wang Zhijian; Zhou Shujie; Yao Qinmei; Wang Yijia; Pan Gang. Dynamic structure in a four-strategy game: theory and experiment. Contributions to game theory and management, Tome 15 (2022), pp. 365-385. http://geodesic.mathdoc.fr/item/CGTM_2022_15_a26/