Eigen mode selection in human subject game experiment

TL;DR

This study investigates eigen mode selection in human game experiments, confirming theoretical predictions that mode existence and selection depend on game parameters, thus linking game dynamics to real human behavior.

Contribution

It demonstrates the practical relevance of eigen mode selection in human game behavior, validating theoretical predictions through controlled experiments.

Findings

Eigen modes predicted by theory are observed in human subjects.

Mode selection depends significantly on game parameters.

Eigen mode concepts are applicable to human game dynamics.

Abstract

Eigen mode selection ought to be a practical issue in some real game systems, as it is a practical issue in the dynamics behaviour of a building, bridge, or molecular, because of the mathematical similarity in theory. However, its reality and accuracy have not been known in real games. We design a 5-strategy game which, in the replicator dynamics theory, is predicted to exist two eigen modes. Further, in behaviour game theory, the game is predicted that the mode selection should depends on the game parameter. We conduct human subject game experiments by controlling the parameter. The data confirm that, the predictions on the mode existence as well as the mode selection are significantly supported. This finding suggests that, like the equilibrium selection concept in classical game theory, eigen mode selection is an issue in game dynamics theory.