{"title":"双边市场的稳定性与最优双拍卖设计","authors":"Aditya Vikram","doi":"10.1016/j.mathsocsci.2024.11.003","DOIUrl":null,"url":null,"abstract":"<div><div>We investigate the stability of internet platform trading mechanisms using the notion of ex-ante incentive compatible core defined by Forges et al. (2002) in the context of an exchange economy. A mechanism can be blocked by a single buyer and seller pair if they can find an interim incentive-compatible trading mechanism that gives them higher ex-ante expected utilities. Standard double auction mechanisms like the trade reduction mechanism and McAfee double auction mechanism may not be single-buyer–single-seller (SBSS) ex-ante stable. We characterize interim incentive-compatible, interim individually-rational, symmetric and revenue-maximizing mechanisms that are SBSS ex-ante stable using methods in Myerson and Satterthwaite (1983).</div></div>","PeriodicalId":51118,"journal":{"name":"Mathematical Social Sciences","volume":"133 ","pages":"Pages 1-12"},"PeriodicalIF":0.5000,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Stability and optimal double auction design for a two-sided market\",\"authors\":\"Aditya Vikram\",\"doi\":\"10.1016/j.mathsocsci.2024.11.003\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>We investigate the stability of internet platform trading mechanisms using the notion of ex-ante incentive compatible core defined by Forges et al. (2002) in the context of an exchange economy. A mechanism can be blocked by a single buyer and seller pair if they can find an interim incentive-compatible trading mechanism that gives them higher ex-ante expected utilities. Standard double auction mechanisms like the trade reduction mechanism and McAfee double auction mechanism may not be single-buyer–single-seller (SBSS) ex-ante stable. We characterize interim incentive-compatible, interim individually-rational, symmetric and revenue-maximizing mechanisms that are SBSS ex-ante stable using methods in Myerson and Satterthwaite (1983).</div></div>\",\"PeriodicalId\":51118,\"journal\":{\"name\":\"Mathematical Social Sciences\",\"volume\":\"133 \",\"pages\":\"Pages 1-12\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2024-11-23\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Mathematical Social Sciences\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0165489624000945\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematical Social Sciences","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0165489624000945","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"ECONOMICS","Score":null,"Total":0}
Stability and optimal double auction design for a two-sided market
We investigate the stability of internet platform trading mechanisms using the notion of ex-ante incentive compatible core defined by Forges et al. (2002) in the context of an exchange economy. A mechanism can be blocked by a single buyer and seller pair if they can find an interim incentive-compatible trading mechanism that gives them higher ex-ante expected utilities. Standard double auction mechanisms like the trade reduction mechanism and McAfee double auction mechanism may not be single-buyer–single-seller (SBSS) ex-ante stable. We characterize interim incentive-compatible, interim individually-rational, symmetric and revenue-maximizing mechanisms that are SBSS ex-ante stable using methods in Myerson and Satterthwaite (1983).
期刊介绍:
The international, interdisciplinary journal Mathematical Social Sciences publishes original research articles, survey papers, short notes and book reviews. The journal emphasizes the unity of mathematical modelling in economics, psychology, political sciences, sociology and other social sciences.
Topics of particular interest include the fundamental aspects of choice, information, and preferences (decision science) and of interaction (game theory and economic theory), the measurement of utility, welfare and inequality, the formal theories of justice and implementation, voting rules, cooperative games, fair division, cost allocation, bargaining, matching, social networks, and evolutionary and other dynamics models.
Papers published by the journal are mathematically rigorous but no bounds, from above or from below, limits their technical level. All mathematical techniques may be used. The articles should be self-contained and readable by social scientists trained in mathematics.