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Laboratory RPS Game Experimental Evaluations of the Evolutionary Dynamics Theories

4 Pages Posted: 2 Mar 2011  

Bin Xu

Zhejiang Gongshang University (ZJGSU) - School of Public Administration

Yang Ming

affiliation not provided to SSRN

Zhijian Wang

Zhejiang University - Experimental Social Science Laboratory

Zhongfei Zhang

Zhejiang University - Department of Information Science and Electronic Engineering

Date Written: February 28, 2011

Abstract

The evolution equation determines how frequencies of strategies in the population change (Traulsen & Hauert (2009)), where the change indicates velocities (Bowles (2004),Weibull (1997),Sigmund (2010)). In this paper, based on the laboratory Rock-Paper-Scissors (RPS) game experiments and from the velocity vector fields perspective, we empirically study the five most popular evolutionary dynamics theories (Sandholm (2009)), i.e., replicator(Taylor & Jonker (1978)), logit (Fudenberg & Levine (1998)), Brown-von Neumann-Nash (Brown & Von Neumann (1950)) (BNN), best responde (Gilboa & Matsui (1991)) and Smith (Smith (1984)), respectively, which describe different theoretical patterns of the velocity vector fields in strategy space.

We conduct a standard Rock-Paper-Scissors (RPS) game in an experimental economics laboratory. The experiments include 12 independent sessions and each session involves 6 human subjects. Each session consists of 300 rounds of the game repeatedly with a random matching for each round. Since we have 6 human subjects in the RPS game experiments, we have 28 possible states. With the data collected from the experiments, we measure the velocity vector at all of the 28 measurable states x(i; j;k) in the strategy space of the game. Three metrics are employed to measure the difference between the experimental result and each specific mode. Main result and conclusion: This is the first time in the literature of experimental economics to reveal the global dynamic patterns in the strategy space using laboratory RPS game study. This is also the first time in the literature to apply the velocity vector fields to study the comparison between the experimental data and the classic evolutionary dynamics theories, which for the first time to show that none of the classic theories completely confirms the experimental data.

Suggested Citation

Xu, Bin and Ming, Yang and Wang, Zhijian and Zhang, Zhongfei, Laboratory RPS Game Experimental Evaluations of the Evolutionary Dynamics Theories (February 28, 2011). Available at SSRN: https://ssrn.com/abstract=1772540 or http://dx.doi.org/10.2139/ssrn.1772540

Bin Xu (Contact Author)

Zhejiang Gongshang University (ZJGSU) - School of Public Administration ( email )

Hangzhou, Zhejiang 310018
China

Yang Ming

affiliation not provided to SSRN ( email )

Zhijian Wang

Zhejiang University - Experimental Social Science Laboratory ( email )

38 Zheda Road
312, Dongsan, Zijingang
Hangzhou 310027, Zhejiang 310058
China

HOME PAGE: http://socexp.zju.edu.cn

Zhongfei Zhang

Zhejiang University - Department of Information Science and Electronic Engineering ( email )

Hangzhou, Zhejiang 310058
China

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