Quote:
Originally Posted by Ari88
well what would be the right frequency of calls to make hero break even? can we calculate this someway? because there must be a response to combat heros strategy right? some kind of equilibrium?
At equilibrium in this 'toy game', when one player bets pot with a correctly balanced polarized range, and the other calls with pure bluff-catchers, the bettor's overall EV is
pot, and the caller's EV is zero.
By calling at the optimal frequency, the caller can make the bettor's
bluffs break even. He can't stop the value-bets from printing money.
Indeed, by calling at a certain frequency, the caller prevents the bettor from altering his strategy. i.e. If the guy with bluff-catchers stopped calling completely, the guy with the polarized range could forget about balancing his range and start betting ALL his bluffs. At equilibrium, he can only bet
some of his air, because his bluffs will get snapped off some of the time.