https://doi.org/10.1140/epjb/e2014-31074-2
Regular Article
Periodic frequencies of the cycles in 2 × 2 games: evidence from experimental economics
1 Experimental Social Science
Laboratory, Zhejiang University, Hangzhou
310058, P.R.
China
2 Public Administration College,
Zhejiang Gongshang University, Hangzhou
310018, P.R.
China
3 State Key Laboratory of Theoretical
Physics, Institute of Theoretical Physics, Chinese Academy of Sciences,
Beijing
100190, P.R.
China
4 Chu Kochen College, Zhejiang
University, Hangzhou
310058, P.R.
China
5 Department of Economics, Duke
University, Durham,
NC
27708-0097,
USA
a
e-mail: wangzj@zju.edu.cn
Received:
28
November
2012
Received in final form:
29
May
2013
Published online:
26
February
2014
Evolutionary dynamics provides an iconic relationship – the periodic frequency of a game is determined by the payoff matrix of the game. This paper reports the first experimental evidence to demonstrate this relationship. Evidence comes from two populations randomly-matched 2 × 2 games with 12 different payoff matrix parameters. The directions, frequencies and changes in the radius of the cycles are measured definitively. The main finding is that the observed periodic frequencies of the persistent cycles are significantly different in games with different parameters. Two replicator dynamics, standard and adjusted, are employed as predictors for the periodic frequency. Interestingly, both of the models could infer the difference of the observed frequencies well. The experimental frequencies linearly, positively and significantly relate to the theoretical frequencies, but the adjusted model performs slightly better.
Key words: Statistical and Nonlinear Physics
© EDP Sciences, Società Italiana di Fisica and Springer-Verlag, 2014