We evaluated two quantitative models that attempt to account for the effects of amount on probability discounting. Sixty-four undergraduate psychology students completed four probability discounting tasks that differed in the amount of the probabilistic outcome ($20, $3,000, $50,000, and $500,000). In an amount-independent hyperboloid model, the exponent (s) systematically increased with reward amount. These systematic changes were not explained by the model. Myerson et al. (2011) reasoned that s increases as a power function of the amount of the probabilistic reward. We found support for the amount-dependent hyperboloid model at the aggregate and individual levels of analysis. The results replicate and extend previous research and suggest that the value function of a probabilistic outcome is weighted by, or depends on, its amount.

我们评估了两个定量模型，这些模型试图解释数量对概率贴现的影响。64 名本科心理学学生完成了四项概率折扣任务，这些任务的概率结果金额不同（20 美元、3,000 美元、50,000 美元和 500,000 美元）。在与数量无关的双曲面模型中，指数（s）随着奖励数量的增加而系统地增加。模型没有解释这些系统性变化。迈尔森等人。(2011) 认为s作为概率奖励数量的幂函数增加。我们发现在总体和个人分析水平上支持数量相关的双曲面模型。结果复制并扩展了先前的研究，并表明概率结果的价值函数由其数量加权或取决于其数量。