I forgot to mention that in my first post, but we have coded the data as you described, with 0 if the individual's bet is the same and 1 if it isnt.
In the image (please see link below) you can see how the data is set up for a certain population. As the data for each individual is "if the same as the previous round" our 15 rounds of roulette are now 14 as we removed the first round.
The question now is why the binary logistic analysis alters the following error in the output window:
The dependent variable has more than two non-missing values. For logistic regression, the dependent value must assume exactly two values on the cases being processed.
Also, if I conduct the logistic regression, as you said, I will get 100 rows x 15 rounds of roulette, but will I also get some kind of summary for the whole population, since that is what we are interested in.
Thank you very much for your help. Please PM me your email adress and I will transfer the token of our appreciation as soon as we have resolved this issue