Simultaneous Determination of Theatrical Casting and Ticket Distribution Using Scheduling Auction
Simultaneous Determination of Theatrical Casting and Ticket Distribution Using Scheduling Auction
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DOI：
10.20965/ijat.2020.p0757
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发表时间：
2020-09
期刊：
影响因子：
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通讯作者：
Shota Suginouchi;Y. Takahashi;Yosuke Kurihara;H. Mizuyama
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文献类型：
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作者：
Shota Suginouchi;Y. Takahashi;Yosuke Kurihara;H. Mizuyama
一部戏剧所创造的价值或社会剩余是由戏剧的内容决定的，比如演员阵容和票价。理想的演员阵容和合适的票价取决于客户的偏好;然而，在当前的戏剧行业中，它们完全由剧院公司决定，剧院公司对客户偏好的信息不完整。因此，本研究提出一个扩展的拍卖机制，同时解决戏剧选角和门票分配根据实际客户的喜好。为了实现这一点，它提出了一个数学公式的戏剧铸造问题，并将其嵌入到调度拍卖框架。建议的机制最大限度地提高社会剩余所带来的戏剧的基础上收集的潜在客户的出价在一个激励兼容的方式。本研究亦提出一种比较法，分别决定剧场选角与门票分配，并在较短的计算时间内依序求解。数值实验表明，所提出的方法实现了社会盈余，平均是29%以上的比较方法。然而，所提出的方法的计算时间与问题规模呈指数增长。在未来的工作中，需要一个计算效率更高的机制来实现更广泛的社会应用。
The value or social surplus created by a theatrical drama is determined by the content of the drama, such as the cast, and ticket prices. The desirable cast and suitable ticket price depend on the preferences of the customers; however, in the current theater industry, they are fully determined by the theater company, which has incomplete information on the customer preferences. Therefore, this study proposes an extended auction mechanism that simultaneously addresses theatrical casting and ticket distribution according to the actual customers’ preferences. To achieve this, it presents a mathematical formulation of the theatrical casting problem, and embeds it into the scheduling auction framework. The proposed mechanism maximizes the social surplus brought about by the drama based on the bids gathered from potential customers in an incentive-compatible manner. This study also presents a comparative method that determines the theatrical casting and ticket distribution separately, and solves them in sequence within a shorter calculation time. The numerical experiments show that the proposed method achieves a social surplus that is averagely 29% higher than that of the comparative method. However, the calculation time of the proposed method increases exponentially with the problem scale. In future work, a more computationally efficient mechanism will be required for wider social implementation.