A binch is just a male bully.
Like any bully, he won't lay off until you stand up to him.
Like any classic bully, he thinks he's tough until his victim fights back. When a victim successfully fights back, the classy bully's demeanor turns from wannabe tough to whiny crybaby. i.e. - a classic binch
And we've come full circle.
A male bully is a binch.
Male bullies typically attack you behind your back, trying to ruin your reputation with others. That's their favorite tactic. More confrontational bullies will also attack you openly, in your face.
As with any bully, you cannot appease the binch by turning the other cheek, being passive, letting it go, etc. Those passive behaviors show weakness, which attracts bullies to attack you more.
There is no way to humor a bully for very long.
There will be no end the attacks and bullying, until you stand up to the bully, or permanently leave. Though often they won't let you leave until after you've stood up to them.
Since binches are just male bullies, they are like any other bully. Once you realize that, you know who you're dealing with.