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Dynamic structure in a four-strategy game: theory and experiment. (English) Zbl 1530.91122

Petrosyan, Leon A. (ed.) et al., Contributions to game theory and management. Volume XV. Collected papers presented at the 15th international conference on game theory and management, GTM 2021, Saint Petersburg, Russia, June 23–25, 2021. St. Petersburg: St. Petersburg State University. 365-385 (2022).
Summary: 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.
For the entire collection see [Zbl 1522.91009].

MSC:

91A90 Experimental studies
91A25 Dynamic games