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Order of Play, Forward Induction, and Presentation Effects in Two-Person Games

Published online by Cambridge University Press:  14 March 2025

R. Andrew Muller*
Affiliation:
Department of Economics, McMaster University, Hamilton, Ontario, Canada
Asha Sadanand*
Affiliation:
Department of Economics, University of Guelph, Guelph, Ontario, Canada

Abstract

We investigate the effects of order-of-play (simultaneous, unobserved sequential and fully observed sequential play) and form of presentation (extensive vs. normal) in three simple two person games: battle-of-the-sexes with and without outside option and a three strategy game which differentiates between virtual observability (VO) and iterated elimination of dominated strategies as principles of equilibrium selection. VO predicts that knowledge of the order of play alone will affect the distribution of strategies chosen. We contrast this with the predictions of iterated elimination of dominated strategies. We report results from 1800 one-shot games conducted in 6 sessions with 120 subjects and analysed as panel data. The form of presentation strongly affects the distribution of outcomes and strategies. Information about order of play shifts the distribution of strategies away from the distribution in simultaneous play and towards the distribution in fully observed play, especially in the less complicated games presented in normal order. Order-of-play effects are less evident as complexity of the game increases. Extensive form presentation appears to induce sequential thinking even in simultaneously played games.

Type
Research Article
Copyright
Copyright © 2003 Economic Science Association

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Footnotes

*

On-line version: http://www.socsci.mcmaster.ca/mullera/recentpapers.htm.

Author to whom correspondence should be addressed.

References

Amershi, A., Sadanand, A., and Sadanand, V. (1985a). “Manipulated Nash Equilibria I: Forward Induction and Thought Process Dynamics in Extensive Form.” UBC Working Paper #928.Google Scholar
Amershi, A., Sadanand, A., and Sadanand, V. (1985b). “Manipulated Nash Equilibria II: Some Properties.” UBC Working Paper #1222a.Google Scholar
Amershi, A., Sadanand, A., and Sadanand, V. (1985c). “Manipulated Nash Equilibria III: Applications and a Preliminary Experiment.” UBC Working Paper #1222b.Google Scholar
Amershi, A.H., Sadanand, A., and Sadanand, V. (1992). “Player Importance and Forward Induction.” Economics Letters. 38, 291297.CrossRefGoogle Scholar
Brandts, J. and Holt, C.A. (1992). “Forward Induction: Experimental Evidence from Two-Stage Games with Complete Information.” In R. Marc Isaac (ed.), Research in Experimental Economics, Vol. 5, pp. 119137.Google Scholar
Budescu, D.V., Suleiman, R., and Rapoport, A. (1995). “Positional and Group Size Effects in Resource Dilemmas with Uncertain Resources.” Organizational Behavior and Human Processes. 61(3), 225238.CrossRefGoogle Scholar
Camerer, C.F., Knez, M., and Weber, R. (1996). “Virtual Observability in Ultimatum Bargaining and Weak Link Coordination Games.” Paper Presented at the Meetings of the Public Choice Society and Economic Science Association, Houston, Texas, April, 1996. California Institute of Technology, Division of Social Sciences, typescript.Google Scholar
Cho, I.-K. and Kreps, D. (1987). “Signalling Games and Stable Equilibria.” Quarterly Journal of Economics. 101(2), 179222.CrossRefGoogle Scholar
Cooper, R., Dejong, D.V., and Forsythe, R. (1994). “Alternative Institutions for Resolving Coordination Problems: Experimental Evidence on Forward Induction and Preplay Communication.” In Friedman, James W. (ed.), Problems of Coordination in Economic Activity, Boston: Kluwer Academic Publishers, Ch. 7.Google Scholar
Cooper, R., DeJong, D., Forsythe, R., and Ross, T. (1990). “Selection Criteria in Coordination Games: Some Experimental Results.” American Economic Review. 80(1), 218233.Google Scholar
Cooper, R., Dejong, D.V., Forsythe, R., and Ross, T.W. (1993). “Forward Induction in the Battle-of-the-Sexes Games.” American Economic Review. 83(5), 13031315.Google Scholar
Grossman, S. and Perry, M. (1986). “Perfect Sequential Equilibrium.” Journal of Economic Theory. 39, 97119.CrossRefGoogle Scholar
Güth, W., Huck, S., and Rapoport, A. (1998). “The Limitations of the Positional Order Effect: Can it Support Silent Threats and Non-Equilibrium Behavior?Journal of Economic Behavior and Organization. 34, 313325.CrossRefGoogle Scholar
Kohlberg, E. and Mertens, J.-F. (1986). “On the Stragetic Stability of Equilibria.” Econometrica. 54(5), 10031038.CrossRefGoogle Scholar
Kreps, D. (1990). Game Theory and Economic Modelling. Claredon Lectures in Economics. Oxford: Oxford University Press, p. vii, 195.CrossRefGoogle Scholar
Osborne, M. and Rubinstein, A. (1994). A Course in Game Theory. MIT Press.Google Scholar
Rapoport, A. (1997). “Order of Play in Strategically Equivalent Games in Extensive Form.” International Journal of Game Theory. 26(1), 113136.CrossRefGoogle Scholar
Schotter, A., Weigelt, K., and Wilson, C. (1994). A Laboratory Investigation of Multiperson Rationality and Presentation Effects. Games and Economic Behavior. 6(3), 445468.CrossRefGoogle Scholar
Stata (1999). Stata Statistical Software: Release 6.0. College Station, Texas: Stata Corporation.Google Scholar