FACTBOX-Who's who in the new N.Y. City government

Nov 4 (Reuters) - New York Mayor Michael Bloomberg won re-election in a surprisingly close vote on Tuesday and will be surrounded in city government by at least three politicians who will compete with the lame duck mayor for power and possibly seek his job four years from now.

JOHN LIU, COMPTROLLER

Liu, a Democrat, won the spot as the city's chief fiscal guardian with about 77 percent of the vote, according to unofficial results. Liu became the first Asian American to serve on the City Council when he won his first term in 2002.

Liu, whose family emigrated from Taiwan when he was a child, holds a degree in mathematical physics from Binghamton University, and is a former PriceWaterhouseCoopers manager.

He opposed Bloomberg's congestion pricing plan, which would have required drivers to pay fees in much of Manhattan during rush hour. As chairman of the transportation committee, he grilled the state mass transit agency officials about their budgets.

Liu also has pushed to strengthen renters' rights, halt predatory bank loans and urged more hiring of minority businesses, according to his biography. He calls himself an advocate for small businesses and unions.

BILL DE BLASIO, PUBLIC ADVOCATE

The public advocate monitors city government, lambasting agencies that fail to serve the public and is sometimes considered the main counterweight to the mayor. De Blasio, a Democratic Council member, won 77 percent of the vote.

The office has dwindled in stature in recent years and De Blasio promised to create a "real parents bill of rights" to give parents more control over education. Bloomberg won direct control of the city's schools but his critics say he has ignored parents.

De Blasio has vowed to "change the ways of the city Planning Commission," one of the entities that approves development, and called for more affordable housing and jobs. He promised to protect the most vulnerable members of society, including senior citizens.

CHRISTINE QUINN, CITY COUNCIL SPEAKER

Quinn, a Democrat from Manhattan, sailed to re-election with about 81 percent of the vote. She had been considering a run for mayor in 2009 until she opted to help Bloomberg overturn a law that would have limited him to two terms, helping him win the right to run for a third term.

Her record in opposing the mayor is mixed. After proposing an income tax hike for the wealthy this winter, she later accepted the mayor's alternative: a sales tax increase. But she takes credit for helping to block one of Bloomberg's early plans: a pro football stadium for Manhattan's West Side.

Bloomberg this year adopted her plan to give $3 million a year in tax breaks to attract biotech companies, and an experimental program to buy unfinished or vacant apartment buildings from cash-strapped owners. (Editing by Daniel Trotta and Philip Barbara)