The Ghostbeaters (Ash vs the Evil Dead) go up against the Ghostbusters in a Chess Boxing Tournament, in three scenarios.
A. Ghostbusters from the '80s movies: Peter, Ray, Egon, Winston, and Janine.
B. Ghostbusters from the 2016 reboot movie: Abby, Erin, Jillian, Patty, and Kevin.
C. The Real Ghostbusters: Peter, Ray, Egon, Winston, and Janine.

The Ghostbeaters are Ash, Pablo, Kelly, Amanda, and Ruby.

All match-ups are made in the order that the characters are listed above. Each tournament is determined by which team wins the best of the five matches. The Ghostbeaters play with the black pieces.

Chess boxing (per Wikipedia):

A chessboxing fight consists of 11 rounds, 6 rounds of chess and 5 rounds of boxing. Chess and boxing rounds alternate, beginning and ending with a round of chess. Each round lasts three minutes, regardless of whether it involves chess or boxing. The total amount of chess playing time is 18 minutes, making it 9 minutes for each player. After each chess round, the exact setup is digitally recorded and then repositioned before the following chess round. The breaks in between the chess and boxing rounds usually last 60 seconds. The duration of the rounds and overall fight time in amateur chessboxing fights can change to some degree, as in for example youth tournaments and exhibition fights.

In a chessboxing match, a competitor may win in regulation time by any of the following:

Knockout (pito rounds)
Technical Knockout (pito rounds)
Checkmate (papo rounds)
Exceeding of the time limit by the opponent (papo rounds)
Disqualification of his or her opponent by the referee e.g. due to inactivity due to overextended playing time (chess or boxing rounds following multiple warnings)
Opponent resigns (chess or boxing rounds)

In the case that neither of the chessboxers win in regulation time and the chess game ends in a draw, the fighter who is ahead on boxing points wins the chessboxing bout. In case the scoreboard is also tied, the fighter that used the black chess pieces will be named the winner. This has not yet occurred in practice.