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Nonparametric Analysis of Longitudinal Binary Data: An Application to the Intergroup Prisoner's Dilemma Game

Published online by Cambridge University Press:  14 March 2025

Ronit Nirel  and
Malka Gorfine
Ronit Nirel*
Affiliation:
Central Bureau of Statistics, 66 Kanfey Nesharim St., 95464 Jerusalem, Israel
Malka Gorfine*
Affiliation:
Department of Mathematics and Statistics, Bar-Ilan University, 52900 Ramat-Gan, Israel
*
email: [email protected]
email: [email protected]
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Abstract

The intergroup prisoner's dilemma game was suggested by Bornstein (1992, Journal of Personality and Social Psychology. 7, 597-606) for modelling intergroup conflicts over continuous public goods. We analyse data of an experiment in which the game was played for 150 rounds, under three matching conditions. The objective is to study differences in the investment patterns of players in the different groups. A repeated measures analysis was conducted by Goren and Bornstein (1999, Games and Human Behaviour: Essays in Honor of Amnon Rapoport, pp. 299-314), involving data aggregation and strong distributional assumptions. Here we introduce a nonparametric approach based on permutation tests. Two new measures, the cumulative investment and the normalised cumulative investment, provide additional insight into the differences between groups. The proposed tests are based on the area under the investment curves. They identify an overall difference between the groups as well as pairwise differences. A simultaneous confidence band for the mean difference curve is used to detect the games which account for any pairwise difference.

Keywords

randomisation testsmultiple comparisonsdisplacement approachconflict resolution problems

JEL classification

C14: Semiparametric and Nonparametric Methods: General
Type
Research Article
Information
Experimental Economics , Volume 6 , Issue 3 , November 2003 , pp. 327 - 341
Copyright
Copyright © 2003 Economic Science Association

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Footnotes

*

To whom correspondence should be addressed.

References

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