Learning in Experimental 2 X 2 Games

54 Pages Posted: 20 Oct 2011

See all articles by Thorsten Chmura

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)

Date Written: October 1, 2011

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.

Keywords: learning, 2 x 2 games, experimental data

JEL Classification: C92, C72, C91

Suggested Citation

Chmura, Thorsten and 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: https://ssrn.com/abstract=1946769 or http://dx.doi.org/10.2139/ssrn.1946769

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)

Poschinger Str. 5
Munich, DE-81679
Germany

Register to save articles to
your library

Register

Paper statistics

Downloads
57
rank
357,774
Abstract Views
613
PlumX Metrics