Yahoo! ( YHOO) wants to stop losing search market share to Google ( GOOG), and now it's asking users to do something about it. "Yahoo! is considering launching a program to reward people who make Yahoo! their primary search engine," says a company-sponsored survey first posted on the Web site of CNet.com . People would receive a monthly reward if they do most of their searching on Yahoo! through a specialized tool bar. Among the rewards being considered for the program are ad-free Yahoo! mail, unlimited email storage, frequent flier miles and discounts on Yahoo!'s personal and music services. "We have believed for some time that discounts and incentives have the capacity to shift market share in the search category," writes Stifel Nicolaus analyst Scott Devitt, who rates Yahoo! shares as a buy in a note to clients Thursday. "Given Yahoo!'s direct relationship with its 201 million active user base, it appears well positioned to benefit from an incentive-based search model. Important to note, again, that this offering does not exist and Yahoo! is not discussing its intentions in the area yet." Last month, Chief Financial Officer Susan Decker surprised investors when she seemed to suggest to Bloomberg News that the company had resigned itself to not being able to surpass Google's lead in the search market. "We don't think it's reasonable to assume we're going to gain a lot of share from Google," Decker told Bloomberg. "It's not our goal to be No. 1 in Internet search. We would be very happy to maintain our market share." Yahoo! sent the survey out earlier this week as part of its normal market research, says Kathryn Kelly, a spokeswoman for the Sunnyvale, Calif.-based company. She says the effort wasn't related to Decker's remarks.