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Old 06-29-2005, 11:12 AM
nomdeplume nomdeplume is offline
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Join Date: Jun 2004
Posts: 16
Default Re: King Yao\'s DIPO overcomplication

[ QUOTE ]
Yao's DIPO complicates a simple multiplication trick developed by Andy Morton and published several years ago by Abdul Jalib. The Morton/Jalib method is simpler

[/ QUOTE ]

I disagree. The Morton/Abdul 'method' and the Yao 'method' are one and the same. They are both simply a reworking of the EV calculation.

The reason that the calculation for the Morton/Abdul approach APPEARS easier, is that it is assumed that the bet size is equal to 1. In fact in the document "Sucking Out" by Abdul he doesn't consider the case where you have to call more that one bet. (Presumably because he wanted to keep things simple.)

To use Abdul's approach when facing more than one bet, you have to change the given formula. When facing a single bet, you calculate Outs x (EPS + 1) and compare it to 46 (on the turn) or 47 (on the flop).

However, when facing (say) two bets, you have to calculate Outs x (EPS + 2) and compare it to 47 x 2. If you compare the working out required for either approach, there's hardly any difference.

Here's an example.

Let's assume the following (using an example from Yao's book on p.89):

Outs = 4
EPS = 11.5 big bets on the turn
Bet = 1

Yao's method:

4 x 11.5 = 46
46 - 4 = 42
46 > 42, therefore CALL.

Morton/Abdul method:

11.5 + 1 = 12.5
4 x 12.5 = 50
50 > 47, therefore CALL.

They both require one multiplication, one addition/subtraction and one comparison. Not much difference here.

Let's now do this again assuming you're now facing two bets:

Outs = 4
EPS = 11.5
Bet = 2

Yao's approach:

4 * 11.5 = 46
46 - 4 = 42
2 * 42 = 84
46 < 84, therefore FOLD.

Morton/Abdul's approach:

11.5 + 2 = 13.5
4 x 13.5 = 54
2 x 46 = 92
54 < 92, therefore FOLD.

Again, each approach requires two multiplications, one addition/subtraction and one comparison.

I don't think you can argue that one approach is less work than the other, IMO. (Unless you find subtraction significantly more difficult than addition).
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