随机奖励预售的最优策略

Liangjun Peng, Mengdi Gu, Yuge Bai
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摘要

提前销售可以帮助经常面临报贩问题的零售商减少需求的不确定性。随着电子商务和促销的发展,零售商不再局限于单一的预售策略。在网络和信息技术的支持下,随机奖励晋升越来越容易应用。考虑随机奖励的提前销售策略受到零售商的青睐,因为它既迎合了战略消费者的心理需求,又有助于零售商减少需求的不确定性。考虑随机奖励的预售策略是在单一预售策略模型的基础上建立的优化模型。模型的目标函数是零售商的总利润。随机奖励机制根据实际情况进行建模。消费者随机奖励的期望效用采用基于消费者战略反应的风险厌恶型幂函数。本文分析了两种预售策略模型下零售商的最优总利润,发现预售策略是否考虑随机奖励存在一个阈值。并对两种策略下的预售价格和消费者效用进行了比较分析。结果比较表明,在单一预售策略下,折扣金额与中奖预期效用大小的差异决定了预售价格是否采用折扣销售策略。数值分析进一步验证了研究结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Optimal Strategies for Advance Selling With Random Rewards
Advance selling helps retailers who often face a newsvendor problem to reduce demand uncertainty. With the development of e-commerce and promotion, retailers are no longer limited to a single advance selling strategy. Random rewards promotion becomes increasingly easy to apply with the support of network and information technology. Advance selling strategy considering random rewards is favoured by retailers because it not only caters to the psychological needs of strategic consumers but also helps retailers reduce the uncertainty of demand. The advance selling strategy considering random rewards is an optimization model that is established on the basis of single advance selling strategy model. The objective function of the model is retailer’s total profit. The random rewards mechanism is modelled according to the actual situation. The expected utility of consumers’ random rewards adopts a power function of risk aversion type based on strategic consumer reactions. This study analytically examines the optimal total profit of a retailer under the two advance selling strategy models and finds that there is threshold that determines whether an advance selling strategy considers random rewards. In addition, we compare and analyse the advance selling price and consumer utility under the two strategies. Results comparison reveals that the difference between the amount of discount and the size of the winning prize’s expected utility under single advance selling strategy determines whether the advance selling price adopts a discount sales strategy. Numerical analysis further validates the results of the study.
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