This paper outlines equations, of which i cant understand, and wish for someone to look at them and tell me what they think.

Please do a search within the linked article for the word roulett, which appears only once, and leads to the very last page, equations that are numbered sequentially, which says specifically that equations 21, 22, 23, 24 are generalized equations for quantum gambling.

To quote the paper,

However, in practice, there are much more diverse gambling protocols, such as Roulette or Lottery, where the one-shot gains are unbalanced and the expectation value of the gains are non-zero. As only the ratio of the one-shot gains matters, without loss of generality, we fix Alice’s one-shot gain to be 1 and Bob’s one-shot gain to be R. Now the task is to design a stable gambling protocol in which Bob’s one-shot gain is R and the expectation value of Bob’s gain Gb to be ?.

https://arxiv.org/pdf/1408.6593.pdf