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chaosuk
05-05-2005, 10:04 PM
Well at least nothing in comparison to the suggestions in the material I've read: it aint that bad

Forgive the tedium here: I posted this elsewhere I short while (on my blog).


A few months ago Party Poker introduced Step’s Single-Table-Tournament (STT’s). STT’s are one-table tournaments between 10 players. Traditionally there are three prizes: 5x buy-in to the winner; 3xbuy-in for second and 2x buy-in for third.

The steps structure was rather different. The ultimate goal was to play in a $1000 STT with prizes for first to fourth. To achieve this goal you could start in a $10 STT and work you way up. There were several entry levels, including direct buy-in to the $1000 STT. Each level provided an opportunity for a lucky two or three to move up to the next one, one just missing out might get another go at the same level and still another at a lower level. Every time you played, though, you had to pay tax (rake/commission) as in any other STT. So for example if you bought directly into a $50 (level 2) step you would pay $55 total. Now if you finished 3rd your prize would be another go at a level 2: i.e. $55 prize. However, only $50 goes into the prize fund since you pay another $5 rake. So Party appear to tax you when you buy in and tax you when they pay you out. The uproar began the value police were alerted. Was this a con to tax you to death as you moved up and down in a cycle of steps? I only became aware of the whole scheme when someone posted on his blog a link to this excellent mathematical analysis(http://www.livejournal.com/users/walterzuey/35457.html)

The worst case was the $10 entry, he showed that the tax for those players is effectively just over 50%. People marvelled at how all these players with no sense of value would have to overcome a ridiculous rake. Bowled over by the analysis, I rounded on Party too. It was another rip-off scheme, after all how are you supposed to beat 50% tax? However, I was largely wrong.

There is an incredible irony here. Now I would only call myself a ‘special’ in the force, but those very people who comment on how easily people are fooled and have no understanding of value, were themselves completely sucked in, as was I. In fact they didn’t think about the problem deep before deciding it was a mug’s game to buy-in at a low level. There are still angles here from Party, but the main one should have been greeted by a ‘So what?’ rather than a ‘Shock, Horror!’. The tax is no big deal: it is the deal.

Suppose at chaospoker.com you decide to buy-in to a $200+15 STT. The prizes are $1000; $600 and $200 respectively. It just so happens that there are also STT’s with the following buy-in: $370+30; $560+40; 950+50. You decide to reinvest to ply your returns directly into one of these STT’s. Assuming you have an equal chance in all of the STT’s you enter then you will expect to pay the following tax for your $215 investment.

$15 + 0.1 x 30 + 0.1 x 40 + 0.1 x 50 = 27

So by this guys approach: $188 equity; $27 tax: 14.4%

Sure it looks bad, but what’s the big deal people do this day in day out. Unless we decide to cash out we will always pay tax on our winnings.

Another example: chaospoker.com offer a deal: deposit $200 and play $20 STT’s at only $1 rake. The only catch is that you can’t withdraw the money til you reach $1000. This bears some resemblance to the step structure: you buy in for a fixed amount, win/lose, play several games but can’t cash out til you reach a certain goal (like the steps you could be in their for years). Suppose you’re an above average and you expect to return of $22 and a profit $1 from each STT. Now you would expect it to take 800 tournies to reach your goal with a whacking $800 tax. What would the value police say here? 400% tax on investment - stick to the 10 % tax STT’s! Of course it is nonsense, you are better off if you’re a winning player and get greater longevity if a losing one, because you pay less tax in each STT. Also, of course, while no such contract is drawn up this is what a lot of people commit themselves to all the time.

Still another example: Imagine tomorrow that Party decided not to pay you in full when you won an STT. They paid you cash minus a credit into another STT at the same level. While it infringes on liberties it would have precious little impact on value. If you can beat the game it wouldn't matter: you were going to play again anyway. But with some hocus pocus we can now accuse party of charging more rake:

E.g. $55 spent on a $50 + $5 rebuy.
Average player. 30% chance of winning a prize, which includes a credit to another $50 + $5 STT.
How much tax do we expect to pay?

The tax is 5 + 0.3*5 + 0.3^2 * 5 + 0.3 ^ 3 * 5 +...... + 0.3^n*5 (i)

The expected tax would be

5 * 1/1-0.3 = $7.14 (summing an infinite series)

Tax on equity of is 14.9%. The tax appears, through the analysis, to have increased by nearly 50% but the came has become no harder to beat.

This analysis linked above doesn’t so much explain how hard it is for folk to beat the ‘party steps’, it shows how hard it is to beat the game on-line period, for the majority of people. It’s quite simply the law of diminishing returns that applies to average on-line poker Joe. The Party Steps provide a perfect & graphic illustration of what we do day in day out on-line

If you beat the game at every investment point, then you beat the game. At the bottom level it’s 10%. If you beat it you win. The difficulty and the sly aspect to this is the flatness of the structure, this makes it a somewhat harder to beat – sometimes there are 9 prizes! Take it to the extreme and imagine a game where everyone gets money back minus the tax (i.e. places 1-10 are paid $50). You can’t beat it and clearly this benefits the card-room as eventually all the money goes to them (if we would be such fools). So flatter structures benefit the card-rooms, however this must be countered in part by the fact that the nature of steps – they increase variance: this is bad for card-rooms. If someone wins a big lump of cash then it is likely to be cashed out or inactive, either way it doesn’t earn rake.

So while the analysis is sound the conclusions drawn are false. In fact it would be fairly easy to construct a step structure that offers better value than the current STT’s (e.g. 5% tax) but would still ‘look’ horrendous after the analysis is applied.

The value police weren’t comparing like for like: ultimately you are paying the same amount of tax per STT whether it be standalone STT’s or Step STT’s. The difference is that you play more STT’s per unit investment in the steps and so you pay more tax. The flatter structure may make it tougher to beat than normal STT’s, but if player’s apply the wrong approach then it maybe easier for some.

The Jury’s still out on Party, but this bit of evidence should be thrown out. Party, I apologise, but you still have much to answer for.

Though I don't consider Party to be much of a rake trap: Prima-rounders is a fantastic deal and can save you fortunes on rake, any serious SNG player should give it due consideration: analyss there is on the other article and what's more you can largely avoid playing the higher/tougher games and stay in the low ones.

AleoMagus
05-05-2005, 11:55 PM
Terrific post.

Regards
Brad S

Freudian
05-06-2005, 12:17 AM
Great post.

The biggest issue with the steps tourneys is of course that the final step is so loaded with highly skilled players that it is very hard to cash in them. Which is good if you are one of those skilled players of course. It's a dead-money-elevator.

iMsoLucky0
05-06-2005, 12:18 AM
Very good work. I knew that I didn't agree with the standard analysis of the party steps, but I didn't know why. You illustrate it greatly.

curtains
05-06-2005, 12:30 AM
Yes I've never felt that the steps are a "raketrap", and simply felt that people are misled.

microbet
05-06-2005, 12:41 AM
I haven't given much thought about the steps purely from a bankroll point of view. I would think you would need something approaching the roll needed for buying directly into the top level in order to even buy into the first level. Maybe only 1/2 as much, but still in the same league.

I would think buying into the top level would be good as you would be playing a lot of lower buyin players and maybe when you have the roll for $215s, buying into the highest mini ($400 or something?) would be good. Although, the lower buyin players that make it to the top may be the good low buyin players and I'm not sure the average high buyin players are better than the good low buyin players.

zipppy
05-06-2005, 01:38 AM
[ QUOTE ]

Yes I've never felt that the steps are a "raketrap", and simply felt that people are misled.

[/ QUOTE ]

chaosuk
05-06-2005, 07:52 AM
Thanks for the compliments guys: if you haven't read it, please read the other post I put up entitled: Prima ladders fantastic rake if you're prepared to gamble. It shows what terrific value the prima rounders/ladders/steps are compared to Party Steps. Also, you can treat them as normal steps or sngs and avoid playing the high levels indefinitely untile you want to cash out. Then you must play high. i.e. Your winnings don't have to be invested in a higher step straight away.

If you treat them as STT's then you can save say 80% on rake compared to standard STT's. See the analysis. They made a huge error in judgement because they tried to avoid setting the 'rake trap' party set, which of course they didn't. Supporting low-rake structures is the only way to effect a change, even if it is a cock up. I kid you not regular STT players could save 80% (or more, I haven't done proper analysis). There are some downsides, but please read it.

thanks

chaos

eastbay
05-06-2005, 12:01 PM
Please don't call the rake "tax". It makes your post confusing. Taxes are what governments collect. Rake, fee, or vig is what casinos collect.

eastbay

chaosuk
05-06-2005, 01:35 PM
A tax doesn't have to be imposed by the government! But I can understand the ambiguity created outside the uk, since we don't pay tax to the government on gambling winnings. Unfortunately, though, to late to edit.

regards

chaos

eastbay
05-06-2005, 01:38 PM
In American usage, tax strongly implies a government collection. I can't think of any context where we use "tax" for fees that a business collects.

Figured it was a Brit-ism on second thought.

eastbay

gumpzilla
05-06-2005, 01:53 PM
One issue that I have with your post is that you assume that your chances of winning at each level are uniform. But this seems obviously silly, because there's clearly going to be some correlation between ability to move on in levels and poker skill, not to mention that many of the best players buy in at the top Steps directly. Consequently, since you expect to have worse chances at the higher end, the shrunken prize pool that you get at the end leads to an effectively higher rake.

Also, some of your analysis seems rather dodgy to me. In your $200 STT example, you say we immediately reinvest at $400, $600, or $1000, and you take the rake into account. But, you don't seem to take your equity in the new tournaments into account; that is, your equity was still the 185 or so you'd expect from an equal finish distribution in the first tournament, but there's also a contribution to your equity from each of the tournaments that you would then invest in. So in reality, the rake is going to be substantially less than 14%.

EDIT: This last paragraph is completely wrong, you did everything fine in the example I cite. It is worth noting, however, that it is possible for me in that case to not have to reinvest, so I could conceivably walk away with my equity of 200. This isn't an option in the real Steps.

chaosuk
05-06-2005, 03:08 PM
Hi,

My original post is lost. The uniform assumption is ok to show it aint a rake trap, not ok to address value (which i perhaps hint at).

The walk away with $200 is an argument that supports a trap in an absolute sense i.e. if you were to cash out and never come back.

regards

chaos

gumpzilla
05-06-2005, 03:31 PM
I went back and took a look at your scenario where you play $50 SNGs, and the prize is returned to you as the normal cash prize minus the buy-in for your next one. Here's another way of looking at it, which produces the same results. Your equity in this arrangement, assuming a buy-in B, rake R and standard SNG payout structure, is x = .3x + .1(4B - R) + .1(2B - R) + .1(B - R) = .3x + .7B - .3R, or x = B - (3/7)R. But your expected equity in a conventional SNG structure, assuming uniform distribution, is x = B. This clearly loses you money. The trick, I believe, is that part of your payout is the equity in your next game, but that's raked as well.

But I think you agree with me that this involves paying more rake than the current scheme, so in what sense are the Steps not rake traps?

chaosuk
05-06-2005, 04:07 PM
I'm struggling for time now, but I will try and get back to you later with this. Your last line confused me a little on the fly, so I'll have to re-read it. All I will say is that the example showed how we use that sort of analysis to mislead, rather than directly compare. One differnce between the example I gave and the steps is that the steps re-invest of all of the winnings into a step, whereas in my example only a portion was. If one is a rake trap then so is the other, but one is a much bigger gamble than the other. By gambling more, you are paying more rake, but that holds within the step structure or out of it.

Not sure if this addresses your point or not, but I'll look in later over the weekend.

regards

chaos

chaosuk
05-06-2005, 07:55 PM
Hi Gumpzilla,


uk time so i'm nearly out.

It’s a bit of a cliché (nice equation btw, I wasn’t sure what you’d done initially), but you aren’t comparing like for like.

Yes you pay more tax per unit investment in the payout structure I’d suggested compared to a standalone STT, but you get more from the investment: players are not paying more under the alternate pay out system.

If party introduced the structure I suggested then a regular player of $50 STTs would be no better or worse off with that structure or the standard non-committal one: he would pay the same amount of rake over the year.

Measuring rake this way - on unit investment – would show that there is a trade-off between making less investments and paying more rake (depending on which structure you prefer). That’s all that is happening. The net result is the same.

Now because I can show that both these structures are effectively identical (unless you want to exit STTs altogether), I can contend that measuring rake on unit investment isn’t a fair metric on value/rake when comparing different structures. Intuitively, people look at the steps and think rake trap and the calculated rake (let me say tax!) on investment, appears to bear this out. That same intuition would lead them to think that my alternate STT pay-out structure is ripping them off too, when clearly it isn’t. The example illustrated shows how misleading this can be tax/rake on investment can be. There is no value-impact on the player, but the rake appears considerably more when the investment is viewed differently.

I appreciate you coming back on this, if things still aren’t clear (I’m not renowned for my clarity) or you still believe I’m wrong then run me down! My ultimate goal is to show why Prima is such great value, even though I don’t play there often or indeed STTs in general.

If the Prima structure becomes popular (and I kid you not about playing $25 stts endlessly with no tax til you have to cash out) then maybe party will have to revaluate their structure and so on. I realise inertia is a big problem in online card-rooms and reducing the rake a bit here or a bit there won’t make a difference. But such is the huge value offered by the prima-rounders for steppers and STT’ers alike that it should be advertised and shouted about and should make people switch at least a portion of their allegiance.

You are right to be sceptical of some newbie making contrarian claims, but I hope you and others follow this through. If I have a hang up, it’s the obscene rake we pay, Prima have provided an opportunity for the poker community to grab it by the balls.

chaos