World champion Rosberg retired five days after winning the title.
Christian Horner sat down with Newsweek at the Red Bull factory ahead of the new Formula One season.
Hamilton came runner-up to Nico Rosberg in 2016.
Verstappen finished fifth in the driver stands last year.
Hamilton is a three-time world champion, winning in 2008, 2014 and 2015.
The Sky Sports pundits sat down with Newsweek ahead of the new season that starts March 26.
Hill won the championship in 1996.
The team has learned from its experiences with Lewis Hamilton and Nico Rosberg.
The pair have confirmed they are committed until 2020.
The sport's sharing of prize money is one area MEPs could investigate.
Formula One enters a new era in 2017.
Brawn was team principal at Mercedes until 2014.
Hamilton suffered yet more technical issues at the Malaysian Grand Prix.
Lewis Hamilton is 11 points behind rival Nico Rosberg.