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首页> 外文期刊>Communications in Mathematical Finance >Gambler’s Risk of Ruin and Optimal Bet
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Gambler’s Risk of Ruin and Optimal Bet

机译：赌徒的破坏风险和最佳赌注

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Classical study of betting and gambling largely argues that, individual is able tomake more revenue from a fraction of income wagered, with utility of pleasure forparticipation being minimal. This explains why, unlike insurance, where peopleresort to reduce the impact of risk, gambling is sought to bear risk (Ankomah 2015).Reasonably so, the gain in revenue is a proximate avenue for a person to place betsto buy and bear risk of such fluctuated nature. However, inherent in this decisionmaking lie the risk of ruin (RoR) that stares the gambler as he/she struggles to earnan expected level of income from a given bankroll. Akin to the gambler’s RoR isthe optimal stopping time. The paper discusses the best point of exit for the gambler,and further derives and analyse the possible RoR of the gambler relative to therandomness and uncertain nature that characterise the game of gambling, andfurther considers the optimal betting strategy, whiles suggesting the best point ofexit using Wald’s equation. It was found that, the ruin of the gambler at any pointin time remains eminent with the randomness of the game of betting and gambling.It was concluded that, optimal betting strategy exists for the adoption of bettorsrelative to the amount for wagering and best point of exit for reason of ruinavoidance.
机译：投注和赌博的古典研究在很大程度上争辩说，个人能够从令人愉快的收入中获得更多收入，并具有乐趣的乐趣来分支是最小的。这解释了为什么，与保险不同，在培养人口，以减少风险的影响，赌博的风险（AnkoMah 2015）。致力地，收入的收益是一个人的近距离放置Betsto购买和承担危险的人波动性质。然而，这一决议中固有的谎言摧毁赌徒的毁灭性（ROR），因为他/她努力从给定的银行筹集的刽子手预期的收入水平。类似于赌徒的ROR是最佳停止时间。本文讨论了赌徒的最佳出口点，进一步得出和分析了赌徒的可能ROR，相对于赌博的游戏，并考虑了最佳的投注策略，以及暗示使用最佳点的最佳赌注和不确定的性质沃尔德的等式。有发现，在任何尖端时间的赌徒的废墟仍然随着投注和赌博游戏的随机性而卓越。得出结论是，最佳的投注策略存在于采用投注和最佳点的票据的金额。出于鲁纳瓦奇的理由。

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