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Learning about a Class of Belief-Dependent Preferences without Information on Beliefs

  • Bellemare, Charles

    ()

    (Université Laval)

  • Sebald, Alexander

    ()

    (University of Copenhagen)

We show how to bound the effect of belief-dependent preferences on choices in sequential two-player games without information about the (higher-order) beliefs of players. The approach can be applied to a class of belief-dependent preferences which includes reciprocity (Dufwenberg and Kirchsteiger, 2004) and guilt aversion (Battigalli and Dufwenberg, 2007) as special cases. We show how the size of the bounds can be substantially reduced by exploiting a specific invariance property common to preferences in this class. We illustrate our approach by analyzing data from a large scale experiment conducted with a sample of participants randomly drawn from the Dutch population. We find that behavior of players in the experiment is consistent with significant guilt aversion: some groups of the population are willing to pay at least 0.16e to avoid 'letting down' another player by 1e. We also find that our approach produces narrow and thus very informative bounds on the effect of reciprocity in the games we consider. Our bounds suggest the model of reciprocity we consider is not a significant determinant of decisions in our experiment.

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Paper provided by Institute for the Study of Labor (IZA) in its series IZA Discussion Papers with number 5957.

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Length: 34 pages
Date of creation: Sep 2011
Date of revision:
Handle: RePEc:iza:izadps:dp5957
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  1. Blanco, Mariana & Engelmann, Dirk & Koch, Alexander K. & Normann, Hans-Theo, 2014. "Preferences and beliefs in a sequential social dilemma: a within-subjects analysis," Games and Economic Behavior, Elsevier, vol. 87(C), pages 122-135.
  2. Andrew Chesher, 2009. "Single equation endogenous binary reponse models," CeMMAP working papers CWP23/09, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  3. Charles Bellemare & Sabine Kroger, 2005. "On representative social capital," Artefactual Field Experiments 00006, The Field Experiments Website.
  4. Charles Bellemare & Alexander Sebald & Martin Strobel, 2011. "Measuring the willingness to pay to avoid guilt: estimation using equilibrium and stated belief models," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 26(3), pages 437-453, 04.
  5. Bellemare, C. & Kroger, S., 2003. "On Representative Trust," Discussion Paper 2003-47, Tilburg University, Center for Economic Research.
  6. Charles Bellemare & Luc Bissonnette & Sabine Kröger, 2010. "Bounding preference parameters under different assumptions about beliefs: a partial identification approach," Experimental Economics, Springer, vol. 13(3), pages 334-345, September.
  7. Pierpaolo Battigalli & Martin Dufwenberg, 2007. "Guilt in Games," American Economic Review, American Economic Association, vol. 97(2), pages 170-176, May.
  8. Charles Bellemare & Sabine Kröger & Arthur van Soest, 2008. "Measuring Inequity Aversion in a Heterogeneous Population Using Experimental Decisions and Subjective Probabilities," Econometrica, Econometric Society, vol. 76(4), pages 815-839, 07.
  9. Victor Chernozhukov & Sokbae Lee & Adam M. Rosen, 2013. "Intersection Bounds: Estimation and Inference," Econometrica, Econometric Society, vol. 81(2), pages 667-737, 03.
  10. Geert Dhaene & Jan Bouckaert, 2007. "Sequential reciprocity in two-player, two-stages games: an experimental analysis," Center for Economic Studies - Discussion papers ces0717, Katholieke Universiteit Leuven, Centrum voor Economische Studiën.
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