The asymptotics of price and strategy in the buyer’s bid double auction

IF 0.3 4区 经济学 Q4 ECONOMICS Review of Economic Design Pub Date : 2023-09-18 DOI:10.1007/s10058-023-00338-6
Steven R. Williams, Konstantinos E. Zachariadis
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Abstract

Abstract In a model with correlated and interdependent values/costs, we identify for the buyer’s bid double auction the asymptotic distributions of the price and of two order statistics in the first order conditions for optimal bidding/asking, all of which are normal. Substitution of the asymptotic distributions into the first order conditions can permit the solution for approximately optimal bids/asks that provide insight into what is “ first order” in a trader’s strategic decision-making, which has been difficult to obtain through analysis of equilibrium.

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买方竞价双重拍卖中价格的渐近性与策略
摘要在一个具有相关和相互依赖的价值/成本的模型中,我们确定了买方出价双拍卖的价格和两个订单统计量在最优出价/要价一阶条件下的渐近分布,它们都是正态分布。将渐近分布替换为一阶条件,可以允许求解近似最优出价/报价,从而深入了解交易者战略决策中的“一阶”,这很难通过均衡分析获得。
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来源期刊
CiteScore
0.80
自引率
28.60%
发文量
37
期刊介绍: Review of Economic Design comprises the creative art and science of inventing, analyzing and testing economic as well as social and political institutions and mechanisms aimed at achieving individual objectives and social goals. In this age of Economic Design, the accumulated traditions and wealth of knowledge in normative and positive economics and the strategic analysis of game theory are applied with novel ideas in the creative tasks of designing and assembling diverse legal-economic instruments. These include constitutions and other assignments of rights, mechanisms for allocation or regulation, tax and incentive schemes, contract forms, voting and other choice aggregation procedures, markets, auctions, organizational forms, such as partnerships, together with supporting membership and other property rights, and information systems. These designs, the methods of analysis used in their scrutiny, as well as the mathematical techniques and empirical knowledge they employ, along with comparative assessments of the performance of known economic systems and implemented designs, all of these form natural components of the subject matter of Economic Design. Officially cited as: Rev Econ Design
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