I'm trying to compute the point of indifference (as in Kubota et al 2014. "The Price of Racial Bias: Intergroup Negotiations in the Ultimatum Game") in the third party ultimatum game but I'm facing some problems due the specific design of the third party version of the task.
The computation is pretty easy in the standard version of the ultimatum game but in the third party version it is not so straight forward given the symmetry of the decision function.
We can empirically find 2 points of indifference, one below and one above the equal split (50%, 50%). Both points lay on a probability function with high values around the equal split and low values on both tails. Such function will never be fitted by any logistic or binomial function therefore, I tried to split the data two differnt datasets containing above-equality or below-equality levels of the splits and compute points of indifference separatedly. However, I often find subjects that accept or reject all the offers so the function fits very poorly the data. This produces aberrant values such as very extreme point of indifference (eg. 1000000 dollars in a task with splits of 10 dollars).
Does anyone know how to obtain reliable points of indifference?
Thanks,
marco
Please let me know if these references/sites are helpful to you:
1. Theories of Fairness and Reciprocity - Massachusetts Institute of ...
web.mit.edu/14.193/www/WorldCongress-IEW-Version6Oct03.pdfCached
by E Fehr - Cited by 951 - Related articles
point out open questions, and to suggest avenues for future research. ..... For these experiments the equilibrium is computed under the assumption that all ... called Ultimatum Game invented by Güth, Schmittberger and Schwarze (1982). ...... 1) Evidence from the Third Party Punishment Game and the PGG with punishment ...
2. Minimally Acceptable Altruism and the Ultimatum Game
web.mit.edu/14.160/www/.../Rotemberg%20on%20altruism%20and%20fairness.pdfCached
by JJ Rotemberg - 2004 - Cited by 111 - Related articles
Apr 4, 2004 - experimental results of ultimatum and dictator games. Moreover ... (1991), for example, Levine (1998) computes that even splits ..... At that point, the proposer is indifferent to the allocation of A between the two parties .... low offers in a dictatorship game that these individuals were playing with third parties. In.
Dennis
Dennis Mazur
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