I didn't go through a recruitment agency at all and without being specific, I have a unique skills set/credentials that is highly sought after both in the US and abroad.

I wasn't given a deadline on the contract that I'm aware of.

I've accepted a job at what everyone would consider to be a "'top tier" school but have yet to sign the contract. In the meantime, a school in a more desirable location (Europe) has opened up and I think I am very competitive for it. Would school A find out if I applied for the job at school B? I'd hate to lose the opportunity at school A unless school B was a sure thing, but I'd rather be at school B if I had both offers in hand...

Am I an a** for even thinking like this?!?