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i think the biggest factor is how many other callers as your %EV and %$EV go way down as each new player enters thepot regardles of your holdings. I think the fact that this is obvious also causes later players like 3rd or 4th player to call, to have even stronger hands so your EV drops even further down then it would if they all had normal hands say 25% AA-.
effectivly every time someone calls their hand range gets tighter (for the most part excluding total donks and gamblers wich you diddnt really make clear in your post..)
Heads up you just have to decide what edge you want to gamble for, i would say passing up any thing 55% or more is very nitty as holdem is a game of small edges and getting your money in with the best of it is all we can do. Technicly speaking you should take any edge 50.1% or better givin you have the roll. that range is pretty much J8+22+ as any hand in that range is at least a 51% fav over a random hand. Lets go with the bottom J8
equity win tie pots won pots tied
Hand 0{ J8o }
: 51.490% 49.71% 01.78% 12513359484 447161892.00 { J8o }
Hand 1{ random }: 48.510% 46.73% 01.78% 11763185532 447161892.00 { random }
now if we add one more player we cant assume they have a random hand like villan although we can assume they call with our range so lets see if we're still prfitable at the bottom of our range with another oppont now.
equity win tie pots won pots tied
Hand 0: 29.552% 28.16% 01.40% 673540 33400.83 { J8s, J8o }
Hand 1: 29.898% 28.56% 01.34% 683241 31967.83 { random }
Hand 2: 40.550% 38.96% 01.59% 932003 38039.33 { 22+, A2s+, K2s+, Q3s+, J8s+, T9s, A2o+, K2o+, Q2o+, J8o+, T8o, 98o }
Yikes we were not makin money now. So wheres the bottom range with one caller? heres what i found. After trying all sorts of hands i fountd that the weakest hand that has over 33% equity is QT. So QT+ if you have a caller
equity win tie pots won pots tied
Hand 0: 35.737% 34.00% 01.74% 751347 38397.00 { QTs, QTo }
Hand 1: 29.033% 27.89% 01.14% 616363 25230.50 { random }
Hand 2: 35.230% 33.43% 01.80% 738736 39820.50 { 22+, A2s+, K2s+, Q3s+, J8s+, T9s, A2o+, K2o+, Q2o+, J8o+, T8o, 98o }
This is all though assuming you have a large roll as the varience will be huge. Some players wont put in alot of money witho only a 5% edge as they feel they can out play the table and get their money in much better in a different situation. Now if you have unlimited bankroll the most profitiable way to play poker would be to take every single tenth of a percent you can get weather your getting it all in or not. This is what casinos do to some exent in house games. You would make the most money possibe in the long run. But most of us dont have an unlimited BR and we arent particularly fond of varience. So we choose to take larger edges if possible stripping away our overall ev but in turn lowing our varience wich in turn RAISES our $EV. Look at it this way, in an MTT with 5000 people your %$EV is very high as you could win up to 1k times your buy in or more. In an STT your $EV is lower because most you will win is 5x your Buy in. But its exact oppisite for %EV. Your actual % of the prize pool, (based on skill level and #hands dealt, "varience") is much larger at an STT then it is at an MTT.
Anther way to look at it is chips in play vs your personal stack. An mtty may have 5M chips in play all worth X amount of the prize pool, smae with an STT but there may be 15K in play. This translates to what your chips are worth in tearms of $ (in a 10$ STT there is 100 in the pool, you get 1500 chips making them worth about 6.5 cents a chip. But think about it when you dbl up their alue halves. Now think of how much value a chip has in an MTT when your on the 3rd day and have 50x what you started with) I think that demonstrates how your %EV is much lower in a an MTT then an STT. and you $EV is hogher in the MTT.
With that said both are profitable it just depends whats more iportant to you. $EV or %EV and that the question you have to ask when calling these all in bets. If you want to in crease you %EV you only call priem hands AJs+ KQs+ JJ+ as they will all give you at least a 2-1 edge. If not lets see what happens when a third player enters the pot.
Now we ant assume the third player has our range any more as its obvious you need a stonger hand here. At this point i think vil would HAVE to have at least a prime hand.
If we call bottom end prime AJs...
equity win tie pots won pots tied
Hand 0: 25.316% 23.48% 02.01% 305508 26213.33 { AJs }
Hand 1: 18.817% 18.31% 00.64% 238222 8337.83 { random }
Hand 2: 18.818% 17.95% 01.00% 233583 12986.67 { 22+, A2s+, K2s+, Q3s+, J8s+, T9s, A2o+, K2o+, Q2o+, J8o+, T8o, 98o }
Hand 3: 37.049% 35.50% 01.80% 461971 23480.17 { JJ+, AJs+, KQs, AQo+, KQo }
Not surprising ly its just about even,about .3%EV edge. We want to get (if we're gamblers) at least 5% so after running some numbers
Dead:
equity win tie pots won pots tied
Hand 0: 24.622% 20.05% 04.57% 251770 57441.50 { AQs }
Hand 1: 19.547% 19.07% 00.47% 239524 5958.00 { random }
Hand 2: 20.310% 19.32% 00.99% 242607 12456.67 { 22+, A2s+, K2s+, Q2s+, J8s+, A2o+, K9o+, Q9o+, J9o+ }
Hand 3: 35.521% 31.20% 04.32% 391839
AQs and better will give us about 5%, after 2 caller though to get any significant edge you cant call anything less then KK AA even AKs is only a small edge, however its borderline weather to take it or not, heres the numbers.
Dead:
equity win tie pots won pots tied
Hand 0: 30.527% 25.91% 04.80% 270203 50023.08 { AKs }
Hand 1: 19.170% 18.81% 00.47% 196157 4926.75 { random }
Hand 2: 19.584% 18.73% 00.96% 195389 10042.42 { 22+, A2s+, K2s+, Q2s+, J8s+, A2o+, K9o+, Q9o+, J9o+ }
Hand 3: 30.719% 26.47% 04.42% 276109 46125.75 { JJ+, AJs+, KQs, AQo+ }
Well hope this helps.
your table position elitive to the maniac player is absolutly huge as knowing whos calling and not can influence your calling range. I guess if he litteraly does it every single hands its not so bigh though as the button moves youll have equal amounts of times being in and out of position.
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