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發表於 2020-6-26 22:09:06
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本帖最後由 sec2100 於 2020-6-27 08:16 編輯
Between races, Benter struggled to make his algorithms stay ahead of a statistical phenomenon called gambler’s ruin. It holds that if a player with limited funds keeps betting against an opponent with unlimited funds (that is, a casino, or the betting population of Hong Kong), he will eventually go broke, even if the game is fair. All lucky streaks come to an end, and losing runs are fatal.
One approach—familiar to Benter from his blackjack days—was to adapt the work of a gunslinging Texas physicist named John Kelly Jr., who’d studied the problem in the 1950s. Kelly imagined a scenario in which a horse-racing gambler has an edge: a “private wire” of fairly reliable tips. How should he bet? Wager too little, and the advantage is squandered. Too much, and ruin beckons. (Remember, the tips are good but not perfect.) Kelly’s solution was to wager an amount in line with the gambler’s confidence in the tip. |
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