基于状态相关收益权重的合作动态广告

IF 1.1 Q3 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

Journal of Dynamics and Games Pub Date : 2019-05-31 DOI:10.3934/JDG.2019014

Simon Hoof

{"title":"基于状态相关收益权重的合作动态广告","authors":"Simon Hoof","doi":"10.3934/JDG.2019014","DOIUrl":null,"url":null,"abstract":"We consider an infinite horizon cooperative advertising differential game with nontransferable utility (NTU). The values of each firm are parametrized by a common discount rate and advertising costs. First we characterize the set of efficient solutions with a constant payoff weight. We show that there does not exist a constant weight that supports an agreeable cooperative solution. Then we consider a linear state-dependent payoff weight and derive an agreeable cooperative solution for a restricted parameter space.","PeriodicalId":42722,"journal":{"name":"Journal of Dynamics and Games","volume":" ","pages":""},"PeriodicalIF":1.1000,"publicationDate":"2019-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Cooperative dynamic advertising via state-dependent payoff weights\",\"authors\":\"Simon Hoof\",\"doi\":\"10.3934/JDG.2019014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We consider an infinite horizon cooperative advertising differential game with nontransferable utility (NTU). The values of each firm are parametrized by a common discount rate and advertising costs. First we characterize the set of efficient solutions with a constant payoff weight. We show that there does not exist a constant weight that supports an agreeable cooperative solution. Then we consider a linear state-dependent payoff weight and derive an agreeable cooperative solution for a restricted parameter space.\",\"PeriodicalId\":42722,\"journal\":{\"name\":\"Journal of Dynamics and Games\",\"volume\":\" \",\"pages\":\"\"},\"PeriodicalIF\":1.1000,\"publicationDate\":\"2019-05-31\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Dynamics and Games\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/JDG.2019014\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Dynamics and Games","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/JDG.2019014","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS, INTERDISCIPLINARY APPLICATIONS","Score":null,"Total":0}

引用次数: 0

摘要

我们考虑一个具有不可转移效用的无限时域合作广告差分博弈（NTU）。每家公司的价值都是通过共同的折扣率和广告成本来参数化的。首先，我们刻画了一组具有恒定收益权的有效解。我们表明，不存在支持一个令人愉快的合作解决方案的恒定权重。然后，我们考虑一个线性状态相关的报酬权，并导出一个受限制参数空间的合意合作解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Cooperative dynamic advertising via state-dependent payoff weights

We consider an infinite horizon cooperative advertising differential game with nontransferable utility (NTU). The values of each firm are parametrized by a common discount rate and advertising costs. First we characterize the set of efficient solutions with a constant payoff weight. We show that there does not exist a constant weight that supports an agreeable cooperative solution. Then we consider a linear state-dependent payoff weight and derive an agreeable cooperative solution for a restricted parameter space.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Journal of Dynamics and Games MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-

CiteScore

2.00

自引率

0.00%

发文量

期刊介绍： The Journal of Dynamics and Games (JDG) is a pure and applied mathematical journal that publishes high quality peer-review and expository papers in all research areas of expertise of its editors. The main focus of JDG is in the interface of Dynamical Systems and Game Theory.