Indeed they will be. In many places throughout the country, there is currently such a dearth of houses for sale that when one comes on the market, potential buyers climb all over themselves to catch the seller's eyes with offers that often exceed the original asking price. This even happens when the house is nothing special. Because there are so few houses to go around right now, the combatants often engage in bidding wars, trumping one another until the winning offer bears no resemblance to the starting number. That way, no matter how much the opposition offers, your contract will always be higher.
Escalation clauses can get out of hand quickly, though, so be careful.
If you don't place some kind of limit on exactly how high you're willing to go, you could wind up with a house you can't afford. Of course, this means your offer could be bested by someone willing to go even higher. But at least you've protected your bottom line. It's protected in our escrow account. And as long as the buyer keeps to the terms, he will never be at risk of default.