Relation between ROI % and Edge % within Kelly

[bobbydrake]

Does anyone have any insight with the relationship between ROI% (profit/total wagers) and Edge% (overall winning% * 1.9091 - 1)? It seems from real life observations that: 1. If ROI% > Edge%, gambler is utilizing Kelly to the utmost degree. 2. If ROI% < Edge%, gambler is utilizing Kelly conservatively. 3. If ROI% is similar to Edge%, gambler is utilizing Kelly nominally. Any thoughts would be appreciated. (Disclaimer: I use 1/8 Kelly)

[FourLengthsClear]

This may help you. Expected Growth for a single bet is the projected ROI.

http://forum.sbrforum.com/handicapper-think-tank/29009-expected-value-vs-expected-growth-kelly-criterion-part-i.html#post250260

[bobbydrake]

Thanks for the reminder. I've read it a couple of times in the past, before I got to apply it in the field. Now I'm in the trenches doing real life experimentation I lost track of the basics.

4LC, got one more question for you. Do you use Kelly to a tee? For example, say Kelly told you to bet $25.67 on a game. Do you bet exactly $25.67? Or do you round off to win the nearest whole dollar? (lets say you would round down to $25.30 to win $23 or round up to $26.40 to win $24)

[FourLengthsClear]

I use 3/4 Kelly and do round my risk amounts.
My rationale for this is that entering stakes precisely could give the impression of conducting arbitrage.

[bobbydrake]

Cool. Thanks.