Not even sure it's correct to say elected officials are being played. Quite often they're sitting on the same side of the negotiating table as the team owner without no one there to represent the public. In most cases with a few notable exceptions, the elected officials are as rah-rah for a new stadium as the team owner. Which is why in so many jurisdictions they no longer allow the public to vote on stadium funding. With the elected officials on board, why would the team owners ever want the public to have a voice?