Social Spiral Pattern in Experimental 2x2 Games
16 Pages Posted: 1 Oct 2010
Date Written: September 30, 2010
Abstract
We find there exists a dynamical pattern, called as social spiral, in human subjects 2x2 experiment data(Goeree, Holt et al. 2003; Selten and Chmura 2008). In a flow/velocity vector field method, we explore the data in the discrete lattices of the macro-level social strategy space in the games, and then above spiral pattern emergent. The vorticity and the divergence of the vector field of each game can be evaluated and presented in maps quantitatively. The geometrical pattern hints that, there exists a robust macro-level order beyond the stochastic process in micro-level. We show that the vorticity and divergence can be a pair of new metrics for experimental economics data. We show also that, the lattice vector field method provides an interesting way to bridge evolutionary game theory models and human subject experimental data. This lattice vector field method might provide a novel way for models evaluating and experiment designing.
Note: Downloadable document is in Chinese.
Keywords: spiral pattern, lattice vector field, experimental economics, learning model, evolutionary game theory, mixed equilibrium, dynamics, vorticity and the divergence, measurement
JEL Classification: C91, C70
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