Re: [vpFREE] Re: Certainty Equivalent

 

I should probably clarify a bit: The notion of a "Certainty Equivalent" precedes Kelly, but the particular formula I was using (EV-VAR/2Bankroll) was derived by Kelly and is the CE under the Kelly system.

The Certainty Equivalent itself is relatively simple. Given a gamble, for what fixed amount would a contestant be indifferent between chosing the gamble or the fixed amount? That indifference point is also the game theoretical optimal point.

A maxEV player would be indifferent between a 50% chance at $100 or a fixed $50.

A Kelly player would consider the variance and their current bankroll. If the Kelly CE of the gamble exceeded $50, they would gamble.

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Posted by: nightoftheiguana2000@yahoo.com
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