Indeed, deletion of the extracellular sequences of GPR56, a cell-adhesion GPCR with an extracellular GAIN domain that is preceded only by a short non-GAIN domain sequence, causes constitutive activation of the GPCR (Paavola et al, 2011), suggesting a possible inhibitory role for the GAIN domain.
Also in 1994, the mother was widowed, to the gain of no pension or Social Security; this non-gain was due to technical problems, problems that probably could have been overcome, but there was just so much to do, it seemed.
We examined both fitness of the models parametrized by utilizing AICc, and the relationships between the model parameters and equation-free parameter of aversion to possible non-gain.
It is to be noted that a significant correlation in the Pearson's analysis indicates that the parameter is related to psychological processes of aversion to possible non-gain (or possible waiting time until winning).
However, it is still unknown whether the parameters in Prelec's weight function are actually related to subject's risk aversion (i.e., aversion to possible non-gain in each probabilistic choice and delay until winning, [ 11]).
In order to examine the relationship between the parameters of the probabilistic choice models and subject's degree of aversion to possible non-gain (risk aversion), we utilized Pearson's correlation analyses between the parameters of the model equations and AUC, because Kolmogorov-Smirnov tests revealed no significant deviation from Gaussian distribution in all parameter distributions (p >.05).
Among the model parameters, a in the entropy model, β in Prelec's weight function, general hyperbolic s, simple hyperbolic k are significantly negatively correlated with AUC (note that smaller AUC corresponds to greater degree of aversion to possible non-gain) (p <.05), indicating that these parameters are related to subject's degree of risk aversion.
Furthermore, to avoid equation type-dependent systematic errors, we also computed each subject's AUC (i.e., area under the normalized indifference curve) [ 24] in order to quantify the subject's degree of risk aversion (aversion to possible non-gain in each probabilistic choice).
Our results have shown that (i) the goodness of fitness for group data was [Entropy model>Prelec's function>General hyperbola>Simple hyperbola]; while Prelec's function best fitted individual data, (ii) aversion to possible non-gain and aversion to unpredictability are distinct psychological processes.
The rationale for employing AUC is that (i) AUC indicates subject's aversion to possible non-gain (or possible temporal delay until winning [ 11], (ii) AUC does not depend on the type of fitting functions, and (iii) studies in psychopharmacology often utilize AUC as an equation-free parameter for probabilistic choice [ 3, 24].
Because a general type of delay discounting functions is expressed as the general hyperbolic function, according to Rachlin's hypothesis, a general hyperbolic probability discounting function [ 18] should be: V = A /(1 + kO ) s where O = (1 - p)/ p (odds against) and k and s are free parameters indicating the subject's aversion to possible delay (or possible non-gain in each probabilistic choice).
