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Typically in human societies the alpha just gets first choice. Even among primates it isn't unknown for females to "cheat" with a beta out of the alpha's sight. But anyway acting angry and aggressive is how a beta becomes an alpha.
Most men will model behavior that women respond to. If women pick the guys that dance the best - most will become good dancers. If they pick the a-holes - most will act more like an a-hole. Your wish is our command.