I initially received a job offer from Company A on Monday and they told me they wanted a response to their offer by Thursday.
I relayed this information to the recruiters from Company B, C and D. I told them that I have an offer on the table and I needed to address it by Thursday. This prompted B to send an offer Wednesday while C and D told me on Wednesday that they would make an offer Thursday.
Company A called me Thursday morning and I explained the situation of receiving multiple offers, some of which required relocation. A said I could have until Monday to respond to their offer.
Should I let the recruiters from the other companies know I have additional time to respond to Company A's job offer? While it is the truth, I don't want them to think I might have been lying / strong arming them into an offer. Also, if it makes a difference, these job offers are for software engineering.