According to people close to the situation, the Rangers and Dodgers are battling for the services of Zack Greinke.

It is highly likely that he will sign with one of the two teams.

The Dodgers have been viewed as a fairly clear favorite for Greinke, but the Rangers are showing signs of determination, according to major-league sources.

The bidding is said by major-league officials to be "quite high" now, with two people pegging the dollar amount at about $160 million.