The Rangers don't appear willing to concede to the Blue Jackets' demands, and they are considered out of the running for the Columbus star at this point, according to ESPN.com's Katie Strang.
Sportsnet.ca's Nick Kypreos is also reporting that the Rangers appear to have backed out of the Nash sweepstakes because the price is too high.
New York was believed to be among the teams interested in Nash, but a previous report by The New York Post indicated that the asking price for the five-time All-Star, who was drafted first overall in 2002, is in excess of a package speculated to be Brandon Dubinsky, Boston College "can't-miss prospect" Chris Kreider and a first-round draft pick.
Michael Del Zotto, Ryan McDonagh and Tim Erixon are three other Rangers players who have been mentioned in rumored deals involving Nash.
Nash was in the lineup for the Blue Jackets' game against the Penguins on Sunday, and he scored a goal. It could realistically be his last with Columbus, although Blue Jackets GM Scott Howson would likely have to drop his asking price in order to deal away the captain.
Nash's agent, Joe Resnick, indicated on Saturday that he was "hopeful" a deal that was fair for both his client and the Blue Jackets would get done before Monday's trade deadline.