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Rowan86
29 Aug 10 13:48
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Date Joined: 13 Jan 05
| Topic/replies: 4,169 | Blogger: Rowan86's blog
I would expect 95% of people on here to understand the value concept with Betfair being a place for sharp minds and all that, but for what it's worth (probably not much), here's my proof of it:

Value Concept:

Where

d = decimal odds
pr = Decimal probability of bet winning

d represents value if 1/d > pr

Proof Of Value Concept:

n = number of bets made
x = amount staked on each bet
p = total payout
d = decimal odds
pr = decimal probability of bet winning

Then,

nx = Total amount wagered

and

P = pr*d*nx

Let x = arbitrary value where x >0,

Where 1/d > pr,

as n tends to infinty, (p - nx) tends to infinity.

Where 1/d < pr,

as n tends to infinty, (p - nx) tends to minus infinity.

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Replies: 32
By:
kenilworth
When: 29 Aug 10 15:39
Rowan86     


I would expect 95% of people on here to understand the value concept


If that were the case, Betfair would not exist.
By:
Rowan86
When: 29 Aug 10 15:48
Maybe they're just bad at quantifying value?
By:
kenilworth
When: 29 Aug 10 15:54
How can 95% profit meaningfully from 5% ?
By:
Rowan86
When: 29 Aug 10 16:01
Well, just because they understand that concept, doesn't mean they're going to agree on the prices.

Is your point that if 95% at least understood the concept, that wouldn't allow enough value to be exploited?
By:
Lori
When: 29 Aug 10 16:49
I think many more people understand the concept than profit from it.

You have to be exceptionally daft not to get it, but you can be not daft at all and still lose money.
By:
Rowan86
When: 29 Aug 10 16:51
I agree Lori.
By:
scotbet
When: 29 Aug 10 22:55
spot on lori
By:
FatalStatistics
When: 30 Aug 10 00:01
I understand and agree Rowan, however i have found that probability is reliably inconsistent ! and therefore calculating pr becomes mind bogglingly difficult. particularly in correct scores where i have chosen to serve the term of my natural life.
Good luck all though.
By:
Rowan86
When: 30 Aug 10 00:40
Thanks for your post fatal statistics. Happy

I agree that the problem is obviously in trying to quantify pr. Interesting getting your perspective.
By:
Rowan86
When: 30 Aug 10 00:40
How's it going btw Scotbet? Thanks for posting on this thread. Nice to see you.
By:
swift-tuttle
When: 30 Aug 10 06:49
First thing I look for in these calculations is the probability of winning value. It's used in Kelly.

Is pr calculated? NO
Is pr used in a calculation? YES
In that case, where does the value pr come from? OUT OF THE THEORIST'S HEAD


So the whole thing is not worth the paper it is written on.
By:
Optimizer
When: 30 Aug 10 07:36
You have got the inequalities wrong. Also, where does pr come from ;-)
By:
Optimizer
When: 30 Aug 10 07:39
Whoa, the posts go from newer to older..
By:
ijs
When: 30 Aug 10 10:15
if urealy think this utter garbage is going to work ur a bigger mug than u sound....pathetic
By:
Rowan86
When: 30 Aug 10 13:30
Damn. I did get the inequalities wrong. FFS.

CORRECTION:

Value Concept:

Where

d = decimal odds
pr = Decimal probability of bet winning

d represents value if pr > 1/d

Proof Of Value Concept:

n = number of bets made
x = amount staked on each bet
p = total payout
d = decimal odds
pr = decimal probability of bet winning

Then,

nx = Total amount wagered

and

P = pr*d*nx

Let x = arbitrary value where x >0,

Where pr > 1/d,

as n tends to infinty, (p - nx) tends to infinity.

Where pr < 1/d,

as n tends to infinty, (p - nx) tends to minus infinity.
By:
Rowan86
When: 30 Aug 10 13:35
Can't believe I did. Absolute SEETHING
By:
Rowan86
When: 30 Aug 10 13:35
Can't believe I did that. Absolutely SEETHING.
By:
Rowan86
When: 30 Aug 10 13:40
lol. Was waiting for a few people to ask 'how do we calculate pr?'
By:
Rowan86
When: 30 Aug 10 19:00
swift-tuttle Joined: 22 Mar 04
Replies: 902 30 Aug 10 06:49   
First thing I look for in these calculations is the probability of winning value. It's used in Kelly.

Is pr calculated? NO
Is pr used in a calculation? YES
In that case, where does the value pr come from? OUT OF THE THEORIST'S HEAD


So the whole thing is not worth the paper it is written on.


Surely can't be any less meaningful than that pointless 'backing horses to win' thread you started. Laugh
By:
swift-tuttle
When: 30 Aug 10 19:08
Sorry, I seem to have struck a nerve there
By:
Rowan86
When: 30 Aug 10 19:15
lol. Sorry. You are right, but that wasn't the point of the thread. I just thought I'd write a proof for a bit of fun. There are one or two people who don't understand or haven't thought about the value concept though.
By:
swift-tuttle
When: 30 Aug 10 19:19
I've thought about little else for the last few years now. All the recommendations tell you to go for Kelly but when I try to do that, I find it very difficult to put a value on the probability of the horse winning.
You're right to try and pin it down because I'm a firm believer in value being the key thing for successful punting.
By:
Rowan86
When: 30 Aug 10 19:23
Yeah, it's a hard working out the pr of the horse winning, but that's the name of the game.
By:
FINE AS FROG HAIR
When: 30 Aug 10 20:58
Don't the market makers work out the pr ( or try to) first inorder to set their opening prices ?
How else do you create a book ?
Sorry if a stupid question.
By:
Rowan86
When: 30 Aug 10 21:20
Yeah, you're right Fine As Frog Hair. They try and work out the pr. Deffo.
By:
The Investor
When: 30 Aug 10 22:03
I think it's the bookies that work that out more than the market makers. If you can do this with a high degree of accuracy, you have a licence to print money.
By:
MIB34
When: 30 Aug 10 22:19
Dont  forget  the bookies  can see the order flow...


If  loads  of people start placing bets  on one horse,   they can adjust  there price.
- As well as adjust the prices  of all the horses  in the race.

(thik of the over/under  run_).
By:
Rowan86
When: 31 Aug 10 13:44
Oh, when you said 'market makers', I thought you meant the bookies.
By:
The Investor
When: 31 Aug 10 13:50
I think there is some overlap, but market makers don't necessarily set the opening prices. The largest one certainly doesn't.
By:
mythical prince
When: 31 Aug 10 14:01
Rowan86 Joined: 13 Jan 05
Replies: 1151 29 Aug 10 13:48   


I would expect 95% of people on here to understand the value concept with Betfair being a place for sharp minds and all that, but for what it's worth (probably not much), here's my proof of it:

Value Concept:

Where

d = decimal odds
pr = Decimal probability of bet winning

d represents value if 1/d > pr

Proof Of Value Concept:

n = number of bets made
x = amount staked on each bet
p = total payout
d = decimal odds
pr = decimal probability of bet winning

Then,

nx = Total amount wagered

and

P = pr*d*nx

Let x = arbitrary value where x >0,

Where 1/d > pr,

as n tends to infinty, (p - nx) tends to infinity.

Where 1/d < pr,

as n tends to infinty, (p - nx) tends to minus infinity.

^ you forgot to add the random anomaly, when value backing in the 4.15 at windsor and getting chinned by a short head, seething with rage and lumping your whole bank on the next at wolves LaughLaugh
By:
Rowan86
When: 31 Aug 10 14:19
LOOOOOOOOOOL Mythical. Laugh
By:
Rowan86
When: 31 Aug 10 14:20
The inequalities were the wrong way round in that one you quoted though!
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