I am a student applying in different places for postdoctoral positions and asking various faculties for position. It happened that, due to limited resources, I am not getting much response. However more than one faculty (from different institutes all in Europe) gave positive responses. The caveat is, I have to jointly write a research proposal with them for grant application/some fellowships. Whatever be the outcome of the proposal(s), I am starting my collaboration with them soon.
My dilemma starts here. The fellowships each one suggested are very competitive. Those faculties themselves informed me that getting those fellowships became more difficult in the present financial situation. Now is it ethical to do apply for multiple funding agencies in this way? Fortunately, each of them suggested applying for different fellowships. I am slightly afraid of the morality of the whole issue (like: what if all of the projects get funding). Please help.