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A hidden Markov model for the detection of pure and mixed strategy play in games.

Shachat, J. and Swarthout, J. and Wei, L. (2015) 'A hidden Markov model for the detection of pure and mixed strategy play in games.', Econometric theory., 31 (04). pp. 729-752.

Abstract

We propose a statistical model to assess whether individuals strategically use mixed strategies in repeated games. We formulate a hidden Markov model in which the latent state space contains both pure and mixed strategies. We apply the model to data from an experiment in which human subjects repeatedly play a normal form game against a computer that always follows its part of the unique mixed strategy Nash equilibrium profile. Estimated results show significant mixed strategy play and nonstationary dynamics. We also explore the ability of the model to forecast action choice.

Item Type:Article
Full text:(AM) Accepted Manuscript
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Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.1017/S026646661400053X
Publisher statement:© Copyright Cambridge University Press 2014. This paper has been published in a revised form, subsequent to editorial input by Cambridge University Press in 'Econometric Theory' (31: 04 (2015) 729-752) http://journals.cambridge.org/action/displayJournal?jid=ECT
Date accepted:No date available
Date deposited:07 April 2015
Date of first online publication:24 October 2014
Date first made open access:07 April 2015

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