How often should I bluff in poker?

Question

Obviously bluffing is an important element of poker, and bluffing too often, or not often enough will negatively affect your winnings, but is there a rule of thumb for how often you should bluff? For example, if I bluff once or twice an hour, is that too infrequent? If I bluff about once in a button cycle, is that too often? What's the optimum bluff frequency?

EDIT: I found these links:
http://en.wikipedia.org/wiki/Bluff_(poker)#Optimal_bluffing_frequency
http://en.wikipedia.org/wiki/Pot_odds#Bluffing_frequency

According to David Sklansky, game theory shows that a player should bluff a percentage of the time equal to his opponent's pot odds to call the bluff. For example, in the final betting round, if the pot is $30 and a player is contemplating a $30 bet (which will give his opponent 2-to-1 pot odds for the call), the player should bluff half as often as he would bet for value (one out of three times).

and

David Sklansky, in his book The Theory of Poker, states "Mathematically, the optimal bluffing strategy is to bluff in such a way that the chances against your bluffing are identical to the pot odds your opponent is getting."

So, if I generally bet half the pot, I should be bluffing 40% of the time; if I generally bet twice the pot, I should be bluffing 25% of the time. Sounds like a lot to me - how does this sit with everybody's experience?

Answer 1

A rough rule (from economics) is that you should bluff until the money you lose from getting caught approximates the money that you would forego from not bluffing. That is, you should equate the "marginal utilities" of the two activities.

If you "never" get caught, you aren't bluffing enough. That is, you are leaving money on the table with a number of bluffs that you could have "run" but didn't. You SHOULD get caught, partly for "advertising" purposes, and partly so that you "start" to lose money bluffing. Then bluff "a little more" and stop when you lose a little more. If you get caught "too often," you are losing more money than you're making with your last few or "marginal" bluffs.

Answer 2

One of the most important things in bluffing is the image you have on the table. If you generally play tight, your opponents will trust your bets more and your bluffs will be more effective.

Otherwise, if you are a loose player you could a lot more hands and your opponents will trust you less, and call your bets more often.

So, if you are a tight player, you should bluff more, because you will win pots with them more often, and if you're a loose player you should bluff a little less. Anyways, if you are loose and bluff often, they will trust you less and call more (as said above), and you can make profit from this when you actually have a strong hand.

Answer 3

How can there be a right answer to this question? You bluff for 2 reasons.

1 - To take a pot when you don't think you have the winning hand.

2 - To make people believe you are willing to bluff so you can sucker them in when you have a winning hand.

How often you can bluff totally depends on how well you've convinced others that you aren't doing one or the other of the above. That varies by night. That varies by the cards you've been getting. That varies by how well people know your style. That varies by how well you think the other players at the table can be bluffed. It varies by how often you think other players are bluffing. It varies by how often other players call versus fold. It varies by how other players have reacted to your bluffs. IOW, there is no way someone can say to bluff a certain percentage of the time since there are way too many variables. Besides, if you learn that someone bluffs say 2 times per hour then any decent player will use that knowledge to their advantage. And anybody bluffing 25%-40% of the time at tables I play at will lose their shirt night in and night out.

The rules of thumb that I use if I am going to bluff:

• I believe that I am going to win with that bluff. (Notice that I didn't say hope)
• I am playing for option 2 above; and then I ensure that I only lose minimal money.
• The amount of money in the pot versus how much I need to put in has really good odds and there is still a prayer that I'll win outright.

You can't put a frequency on any of those options because it's all about feel and reading the other players.

Besides that, I think bluffing is far over-rated in poker anyways. In general, when you bluff you put up a relatively high amount of money, but you get relatively little in return since you are trying to get people to fold. You are far better served learning when to play your cards and when to fold them and maximize your profits from that. People aren't stupid. You can make money bluffing in the short term, but eventually people catch on and set you up.

Answer 4

It comes from game theory optimization (GTO)

The idea is the bluff rate is such that your opponent is stuck between call or fold. Call or fold has the same EV.

You know you are beat. Your opponent has a good hand but not the nuts. They will call every time with the nuts.

p is pot (before you bet)
b is your bet
f is your bluff rate
EV is expected value

EV = -b + f(p + 2b)

Set the EV to 0. Solve for f.

b = f(p + 2b)

f = b / (p + 2b)

So if p = b - you bet the pot you should bluff 1/3 of the time.
Note if you bet the pot you are giving your opponent 2:1.

Play three hands and you bluff once and have the nuts twice.
Your opponent is getting 2:1 to call and the pot has 100.
Your opponent folds all three:
0 + 0 + 0 = 0
Your opponent calls all three:
-100 - 100 + 200 = 0

To simplify set p = 1 and and fr just be the fraction of the pot you bet

bluff = fr / (1 + 2fr)

bluff   fraction 
rate    pot  
0.50    100.00
0.44      4.00
0.43      3.00
0.40      2.00
0.33      1.00
0.25       .50
0.20       .33
0.17       .25

Ironically you should bluff more with bigger bets.

You opponent also needs at least a bluff catcher to call.

Clearly you are going to get more bluffs through if a scare card hits on the river. Don't try and bluff a naked 2 on the river if you have shown not strength.

Very important is that does not mean bluff the river 1/3 time period. 1 bluff for every 2 value bets. If you get to the river against 1 then you are going to have the best hand about 1/2 the time and you are only going to be confident you have the best hand like 1/3. So in 6 hands you would value bet 2 and bluff 1.

If you watch the pros some even bluff more.

If you never bluff then players know to lay down. You have to bluff some to get paid off when you have it.

You can even do GTO on how often to call - assuming you have a bluff catcher.

Assume you put villain on GTO and bet the pot so you them on bluff 1/3
c = call rate

EV = c 2/3 (p + 2b) - c 1/3 0 - b
= c 2/3(3) - 1
= 2c - 1
c = 1/2

You should call back with a bluff catcher as often as you have hands that you would call back for value.