This post is a sequel to: [Collaboration or acknowledgment?][1] 

The following has come to my attention. A senior mathematician (let us call him Alice) suggested a problem to a young mathematician (Bob) who proceeded to solve it on his own. The senior mathematician signed the paper and included his PhD student (Charlie) as a coauthor because they were thinking about the same problem, despite the fact they (Alice and Charlie) did not even have partial results. Is there a way for the young mathematician (Bob) to manage such a situation without creating conflict?  

**Edit:** One good advice so far is to be generous. It does reward unethical behaviour but I have no better advice for the young mathematician, which is why I asked this question.

  [1]: https://mathoverflow.net/questions/191507/collaboration-or-acknowledgment