To induce is to move or lead someone to action. A promise of a lollipop can induce a toddler to do just about anything, even sit down and be polite to Aunt Edna. Older kids need something more substantial.
Some people believe that if you offer someone a large enough sum of money, you could induce them to do almost anything. But a movie heroine might say to the villain, "Nothing could induce me to marry you. Not all the money in the world. Not if you were the last man on Earth!" Induce also means to stimulate the occurrence of something, such as medications used to induce vomiting, or to induce a pregnant woman to go into labor.