One's desire, reason, or drive to do something. Often can be used in the case where one would want a "reimbursement" for his or her actions. I.E. Incentive.
Abby: Say, could you drop by my house and give Steve and I a ride to the movies? I don't have a car and his is in the shop.
James: I'm not exactly inclined to do that, seeing as you just dumped me this morning. Later, bitch!