Ideally, you should have more than one offer... the most powerful advantage is the knowledge that you can walk away from this. If you can't do that and you're not very good at the "bluff" game, then you're basically left with begging. Now, if you're willing to try to bluff, do a lot of research. Sites like Glassdoor.com should be pretty good ways to find out what the market pays... if your offer is under the prevailing market rate, make sure to use that to your advantage. Furthermore, make sure that you position yourself as an investment and not just another hire. Obviously, you cannot say this directly but I hope you've done so in your interviews.Lastly, be flexible... if they cannot pay you more, try to negotiate the more... "performance pay" options like the bonus (clear KPIs for payouts) or other benefits (tuition reimbursement, for example).Hope this helps.