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Old 31-08-2007, 13:28   #1 (permalink)
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Default Rugby Quarb System

This system will focus on identifying 'Quasi-arbitrages' or 'Quarbs' in fixed odds rugby union matches and exploiting these as hopefully profitable betting opportunities.

In essence, a Quarb occurs where one bookmaker is offering prices out of line with their competitors but not so far apart from the others as too cause an arbitrage. The theory of Quarbs was first outlined in the work of Paton and Vaughan Williams (2002) in 'Quarbs' and Efficiency in Spread Betting: can you beat the book? This theory was further developed and applied to fixed odds betting by Smith, Paton and Vaughan Williams (2005) in Information Efficiency in Financial and Betting Markets.

The system also draws upon other weak form information inefficiency theories, particularly the ‘favourite-longshot bias’, whereby low probability outcomes are overvalued and high probability outcomes are undervalued. Other forumites, particularly mcgin, have analysed the ‘favourite-longshot bias’ in rugby - see for example http://www.punterslounge.com/forum/showthread.php?t=38441 Indeed, this system owes much to mcgin’s work outlined in this thread and is based on his original paper/real life trial so many thanks mcgin -

The rules of the Rugby Quarb System are as follows:
  • Only home sides in rugby union matches, both domestic and international, will be considered for betting purposes. This is because there is a strong home bias in rugby (e.g. 68.5% of games played over the last 3 seasons in the Magners League were won by the home side). Furthermore, the draw outcome has limited impact (e.g. only 2.1% of games played again in the Magners League over the same period were drawn).
  • Only mean odds of 1.50 or less will be considered from an analysis of at least 8-10 bookmakers’ prices (normally using the Odds Comparison website). The underlying assumption of the system is that the consensus market price is a good indicator of ‘true’ probability. In this respect, the subjective probability of the home side winning a match will be at least 66.7%.
  • Where a bookmaker’s price is out of line with the mean by at least 5% or more (or 7% for Betfair to take into account commission), a Quarb or betting opportunity is considered to occur.
  • Stakes are based on the Kelly criteria with an added modification to limit risk and are calculated by the following formulae: Current Total Bank x % Difference between Mean Odds and Best Odds x Subjective Probability of Winning (as derived from the mean odds).
I tested this system on all Rugby Union games during Feb – May 2007 and had a strike rate of 85.4% and yield of 16.9%, hence this will be a real life system and will start with a bank of £1,000.

Would appreciate any input / suggestions for improvement from other forumites.
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Old 31-08-2007, 13:53   #2 (permalink)
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Default Re: Rugby Quarb System

Match No.

Date

Tournament

Home Team

Best Odds

Worst Odds

Av Odds

Av Odds +5%

Selection

1

31/08/2007

Magners League

Cardiff Blues

1.61

1.50

1.55

1.63

No Bet

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Old 31-08-2007, 17:41   #3 (permalink)
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Default Re: Rugby Quarb System

Quote:
Originally Posted by Wumpking View Post
The system also draws upon other weak form information inefficiency theories, particularly the ‘favourite-longshot bias’, whereby low probability outcomes are overvalued and high probability outcomes are undervalued. Other forumites, particularly mcgin, have analysed the ‘favourite-longshot bias’ in rugby - see for example http://www.punterslounge.com/forum/showthread.php?t=38441 Indeed, this system owes much to mcgin’s work outlined in this thread and is based on his original paper/real life trial so many thanks mcgin -
Cheers for the acknowledgment, although the original idea stemmed from from work done by Datapunter & the guy that runs football-data.co.uk

Good luck anyway, I'm sure you will be successful as I saw every reason there were huge inefficiencies with some of the books out there (keep an eye on Stan James he was always providing some far out odds)

A word of warning, you might want to be wary of anything > 1.30. I found those to be a bit dodgy when I was running this. Although that was more of a subjective thing rather then me tracking it and seeing the results.

Am looking forward to the WC myself. I believe there will be plenty of short favs that will fall into the system and was actually thinking of resurrecting my old thread for it. Mightn't have to now

Here's hoping you can beat my 33 in a row
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Old 31-08-2007, 17:55   #4 (permalink)
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Default Re: Rugby Quarb System

can you tell where to get infos about this for soccer?
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Old 31-08-2007, 18:35   #5 (permalink)
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Default Re: Rugby Quarb System

Thanks mcgin for the input and good wishes. Funny you should mention Stan James. I certainly agree that they tend to offer good odds in terms of rugby prices. I'm also currently 11 from 11 with them for rugby bets so enjoy betting with them!

Whilst I appreciate the warning in betting at odds > 1.30, I've found the system works well up to 1.50. I feel the risks are manageable, particularly as the staking plan is also linked to the mean odds.

Your run of 33 in a row was fantastic and sets the milestone - . I was sorry to see your thread end at this point. I'm not confident this system will match that type of run as I expect it to lose around 10-15% of the time. I just hope it starts well .
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Old 01-09-2007, 10:33   #6 (permalink)
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Default Re: Rugby Quarb System

Match No.


Date


Tournament


Home Team


Best Odds


Worst Odds


Av Odds


Av Odds +5%


Selection


2


01/09/2007


Magners League


Scarlets


1.37


1.33


1.35


1.42


No Bet



Whilst Scarlets potentially qualify as price < 1.50, currently it is a no bet as no value can be obtained. Will monitor Betfair prices up to kick off to see if minimum value price of 1.44 (i.e. average odds +7%) can be obtained.
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Old 01-09-2007, 11:51   #7 (permalink)
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Default Re: Rugby Quarb System

Good luck with this Wumpking.

Looks very interesting.
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Old 01-09-2007, 21:23   #8 (permalink)
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Default Re: Rugby Quarb System

Quote:
Originally Posted by Matthew View Post
Good luck with this Wumpking
Thanks Matthew for the good wishes.

Fortunately for the system, Scarlets price on Betfair never reached 1.44 as would have been a losing bet!
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Old 03-09-2007, 22:05   #9 (permalink)
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Default Re: Rugby Quarb System

Enough bookmakers have priced up Friday's opening match of the RWC to assess. France potentially qualify but are currently no value. Will monitor during week just in case any additional bookmaker’s prices are set out of line with the mean odds.

Match No.
Date
Tournament
Home Team
Best Odds
Worst Odds
Av Odds
Av Odds +5%
Selection
3
07/09/2007
RWC 2007
France
1.20
1.12
1.18
1.24
No Bet

Last edited by Wumpking; 04-09-2007 at 09:55. Reason: Reformatted table to fit page better
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Old 06-09-2007, 17:55   #10 (permalink)
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Default Re: Rugby Quarb System

Unlikely that France's price will meet the system requirements for a bet.

Have decided to include all the RWC 2007 matches in the system with the favourite considered to be the 'Home' side. Assessment of the remaining weekend matches are as follows:

Match No.DateTournamentHome TeamBest OddsWorst OddsAv OddsAv Odds +5%Selection
407/09/2007Magners LeagueDragons2.372.002.172.28No Bet
508/09/2009RWC 2007New Zealand1.001.001.001.05No Bet
608/09/2007RWC 2007Australia1.001.001.001.05No Bet
708/09/2007RWC 2007England1.001.001.001.05No Bet
809/09/2007RWC 2007Wales1.031.011.021.07No Bet
909/09/2007RWC 2007South Africa1.021.001.011.06No Bet
1009/09/2007RWC 2007Scotland1.001.001.001.05No Bet
1109/09/2007RWC 2007Ireland1.001.001.001.05No Bet


No bets on any games as no qualifiers.
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Old 07-09-2007, 21:32   #11 (permalink)
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Default Re: Rugby Quarb System

Quote:
Originally Posted by Wumpking View Post
Unlikely that France's price will meet the system requirements for a bet
Thankfully it didn't as again would have been a losing bet!
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Old 10-09-2007, 20:06   #12 (permalink)
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Default Re: Rugby Quarb System

Have now assessed the matches for the 12th Sept as enough prices available:

Match No.DateTournamentHome TeamBest OddsWorst OddsAv OddsAv Odds +5%Selection
1211/09/2007RWC 2007Argentina1.001.001.001.05No Bet
1311/09/2007Magners LeagueOspreys1.401.281.341.40Ospreys

Argentina game is a no bet as no value can be obtained. However, the Ospreys qualify for what is the first bet of the system.

Selection is Ospreys - £35.00 win @ 1.40 with Blue Square - .
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Old 10-09-2007, 21:37   #13 (permalink)
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Default Re: Rugby Quarb System

Enough prices available to assess the Tonga v USA match on the 13th Sept:

Match No.DateTournamentHome TeamBest OddsWorst OddsAv OddsAv Odds +5%Selection
1412/09/2007RWC 2007Tonga1.401.221.291.36Tonga

Selection is Tonga - £63.00 win @ 1.40 with Blue Square - .
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Old 10-09-2007, 22:41   #14 (permalink)
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Default Re: Rugby Quarb System

Hello,

First of all, rugby is not my sport... I barely know the rules but I regard it as one of the best sports to watch once you get the hang of it...

Anyway, I got interested in your system because you are basing it in sound mathematical theories:

Quote:
Originally Posted by Wumpking View Post
The theory of Quarbs was first outlined in the work of Paton and Vaughan Williams (2002) in 'Quarbs' and Efficiency in Spread Betting: can you beat the book? This theory was further developed and applied to fixed odds betting by Smith, Paton and Vaughan Williams (2005) in Information Efficiency in Financial and Betting Markets.

The system also draws upon other weak form information inefficiency theories, particularly the ‘favourite-longshot bias’, whereby low probability outcomes are overvalued and high probability outcomes are undervalued.
Not only your selection criteria seems solid, you are basing your staking plan in Kelly's criterion, also very solid (mathematically speaking)

Quote:
Originally Posted by Wumpking View Post
  • Stakes are based on the Kelly criteria with an added modification to limit risk and are calculated by the following formulae: Current Total Bank x % Difference between Mean Odds and Best Odds x Subjective Probability of Winning (as derived from the mean odds).
As I'm sure you already know the main downside to Kelly's staking plan is that your bank will be on a "rush mountain ride", but your risk limitation variant should smooth it out...


I'll be following with interest. Best of lucks to you...


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Old 11-09-2007, 20:46   #15 (permalink)
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Default Re: Rugby Quarb System

Quote:
Originally Posted by F. View Post
I'll be following with interest. Best of lucks to you... F.
Thanks F. for the interest and good wishes, it is much appreciated.

Sadly the system has got off to the worse possible start with the Ospreys losing at home to the Scarlets . As such, the current status is:

Starting Bank£1,000.00
Current Bank£965.00
Total Staked£35.00
Number of Bets1
Winning Bets0
Losing Bets1
Strike Rate0.0%
Yield-100%
Profit / Loss-£35.00

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Old 11-09-2007, 22:33   #16 (permalink)
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Default Re: Rugby Quarb System

It is still too early to tell. Don't despair !!


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Old 11-09-2007, 23:26   #17 (permalink)
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Default Re: Rugby Quarb System

Early days indeed F.

It is Sod's Law however, that the first bet of the new rugby season would lose. Also particularly galling as the Ospreys haven't lost at home in the Magner's League since May 2006!

As you state, Patience is the key, Discipline is the way...
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Old 12-09-2007, 12:14   #18 (permalink)
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Default Re: Rugby Quarb System

Assessment of matches later today are as follows:

Match No.DateTournamentHome TeamBest OddsWorst Odds