Most contracts provide for attorneys fees to be paid by the losing party. I much prefer the "pay your own way unless otherwise agreed" method to the English rule.

Beyond the contractual method of handling attorneys fees, civil procedure rules deal with this situation: if a settlement offer of X is rejected, and the rejecting party ultimately wins an award of X-1, then they have to pay all of your legal fees. [0]

[0]https://en.wikipedia.org/wiki/Offer_of_judgment