Sunday, August 22, 2021

Oddsline Calculator [<mjx-container class="MathJax CtxtMenu_Attached_0" jax="CHTML" display="true" tabindex="0" ctxtmenu_counter="1" style="font-size: 113.1%; position: relative;"><mjx-math display="true" class="MJX-TEX" aria-hidden="true" style="margin-left: 0px; margin-right: 0px;"><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D434 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45D TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D461 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D452 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D451 TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n" space="3"><mjx-c class="mjx-c2212"></mjx-c></mjx-mo><mjx-mi class="mjx-i" space="3"><mjx-c class="mjx-c1D446 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D458 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D456 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D452 TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D45B TEX-I"></mjx-c></mjx-mi><mjx-mi class="mjx-i"><mjx-c class="mjx-c1D44E TEX-I"></mjx-c></mjx-mi><mjx-mo class="mjx-n"><mjx-c class="mjx-c2C"></mjx-c></mjx-mo><mjx-mn class="mjx-n" space="2"><mjx-c class="mjx-c32"></mjx-c><mjx-c class="mjx-c30"></mjx-c><mjx-c class="mjx-c30"></mjx-c><mjx-c class="mjx-c31"></mjx-c></mjx-mn></mjx-math><mjx-assistive-mml unselectable="on" display="block"><math xmlns="http://www.w3.org/1998/Math/MathML" display="block"><mi>A</mi><mi>d</mi><mi>a</mi><mi>p</mi><mi>t</mi><mi>e</mi><mi>d</mi><mo>−</mo><mi>S</mi><mi>k</mi><mi>i</mi><mi>e</mi><mi>n</mi><mi>a</mi><mo>,</mo><mn>2001</mn></math></mjx-assistive-mml></mjx-container>](https://www.amazon.com/Calculated-Bets-Computers-Gambling-Mathematical-ebook/dp/B004IASVJK)

Oddsline Calculator

[Adapted - Skiena, 2001]
Sometimes you just want to convert a set of power ratings to a reasonably accurate oddsline.

Though my strong recommendation is to use the TWPD Algorithm to generate a realistic oddsline, you can use the Oddsline Calculator to create a 'quick and dirty' oddsline from a set of power ratings in AvK events.

Note the following restrictions:

  • Maximum of ten entrants.
  • Limited error checking.
    • For fewer than ten entrants, leave blank rows to bottom of table.
    • Odds range from 1.01 to 1000.
    • Power ratings range from 0 to 3000.
    • Power factor can be varied between 0 and 1 to change range of odds distribution. Default value is 1/e1/e.

As noted last time, every race, in which we choose to participate, is a competition of oddslines between the crowd and ourselves! Whichever oddsline is closer to the true win probabilities in that race generally prevails. So use the oddsline calculator with care!

Finally, an example using an AvB contest: