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Learning in Experimental 2 X 2 Games


Thorsten Chmura


University of Bonn - Faculty of Law & Economics; Nottingham University Business School

Sebastian J. Goerg


Florida State University - Department of Economics; Max Planck Society for the Advancement of the Sciences - Max Planck Institute for Research on Collective Goods

Reinhard Selten


University of Bonn - Economic Science Area; CESifo (Center for Economic Studies and Ifo Institute for Economic Research)

October 1, 2011

MPI Collective Goods Preprint No. 2011/26

Abstract:     
In this paper, we introduce two new learning models: impulse-matching learning and action-sampling learning. These two models together with the models of self-tuning EWA and reinforcement learning are applied to 12 different 2 x 2 games and their results are compared with the results from experimental data. We test whether the models are capable of replicating the aggregate distribution of behavior, as well as correctly predicting individuals' round-by-round behavior. Our results are two-fold: while the simulations with impulse-matching and action-sampling learning successfully replicate the experimental data on the aggregate level, individual behavior is best described by self-tuning EWA. Nevertheless, impulse-matching learning has the second highest score for the individual data. In addition, only self-tuning EWA and impulse-matching learning lead to better round-by-round predictions than the aggregate frequencies, which means they adjust their predictions correctly over time.

Number of Pages in PDF File: 54

Keywords: learning, 2 x 2 games, experimental data

JEL Classification: C92, C72, C91

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Date posted: October 20, 2011  

Suggested Citation

Chmura, Thorsten, Goerg, Sebastian J. and Selten, Reinhard, Learning in Experimental 2 X 2 Games (October 1, 2011). MPI Collective Goods Preprint No. 2011/26. Available at SSRN: http://ssrn.com/abstract=1946769 or http://dx.doi.org/10.2139/ssrn.1946769

Contact Information

Thorsten Chmura
University of Bonn - Faculty of Law & Economics ( email )
Postfach 2220
D-53012 Bonn
Germany
Nottingham University Business School
Jubilee Campus
Wollaton Road
Nottingham, NG8 1BB
United Kingdom
Sebastian J. Goerg (Contact Author)
Florida State University - Department of Economics ( email )
Tallahassee, FL 30306-2180
United States
+1 (850) 644-7083 (Phone)
HOME PAGE: http://www.s-goerg.de
Max Planck Society for the Advancement of the Sciences - Max Planck Institute for Research on Collective Goods
Kurt-Schumacher-Str. 10
D-53113 Bonn, 53113
Germany
HOME PAGE: http://www.coll.mpg.de

Reinhard Selten
University of Bonn - Economic Science Area ( email )
Adenauerallee 24-42
D-53113 Bonn
Germany
++49-228 73-9190 (Phone)
++49-228 73-9193 (Fax)
CESifo (Center for Economic Studies and Ifo Institute for Economic Research)
Poschinger Str. 5
Munich, DE-81679
Germany
Feedback to SSRN (Beta)


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