induce
Meaning: to bring about, stimulate
Usage: Who knew that our decision to boycott school lunch would induce a huge riot?
engender
Meaning: to bring about, create, generate
Usage: During the Olympics, the victories of U.S. athletes engender a patriotic spirit among Americans.
foster
Meaning: to stimulate, promote, encourage
Usage: To foster good health in the city, the mayor started a “Get out and exercise!” campaign.
elicit
Meaning: to bring forth, draw out, evoke
Usage: Although I asked several times where the exit was, I elicited no response from the stone-faced policeman.