Players cannot bet on their own games, but I'm sure their manager, coach, or someone else they know bets for that fighter because it's extra money if you win the fight, but I haven't seen or read anything about it because it's prohibited, so I'm sure they're doing it in secret. Also regarding having lost in their own game, it is sort of called "fixed games," about which we can see a lot of speculation but nothing that has proven it. This is really about money; they don't care about the game or the sports; they just want to win the teams they want because the money that was bet on it was very huge, so they will manipulate the game.
And the player can join those who bet for him to earn extra money from winning matches. This might be a great way to earn some extra money but they have to really keep it a secret from everyone else and after the win, they have to share the winnings in secret as well. This may have been common among players who use these methods to be able to bet on themselves but if this were to be found out, they would all be punished by the association so they could no longer play.
They can easily manipulate the outcome of the game very easily if they bet, yes, moreover, if they bet to win their opponent, yes they can easily pretend to lose. Honestly, I don't really know about this, because maybe if there is, no one will know, even if it's the people closest to them, because it will endanger their own careers.
Things like this are also often heard in certain games, for example in football there is the term fixing the score, this is the same type. Even though they don't gamble directly, they also enjoy the money they receive from people who want them to do so.