often times companies will opt to pay more as a stop-gap until they find a cheaper replacement
They know the game, no employee ever is going to stay if they're being paid half their market value. "Commitment" my ass lol. But more to the point in order to replace you they have to pay market value for your job. They can only find someone cheaper if your job is beneath you.
Parlaying offers is fine as long as the work they need doing is worth that money. Who are they going to replace you with? Hiring is expensive even if they find a sucker. The only risk is if your market value is higher than they need to pay to get your job done.
Fundamentally the operative variable is: "can they get your job done for less than you're demanding." That's what matters, more than the impression of commitment.
If your work makes you an important person in the company, you have a strong basis for negotiation. Most people just don't use it...