{"title":"Risk behaviour and optimum advertising with a stochastic dynamic sales response","authors":"C. Tapiero, J. Eliashberg, Y. Wind","doi":"10.1002/OCA.4660080310","DOIUrl":null,"url":null,"abstract":"A stochastic (diffusion) sales response model to advertising is postulated. Optimum advertising policies are then found by solving a stochastic control problem with reflecting boundaries. Analytical results are obtained and interpreted to yield insights regarding a firm's risk behaviour and its optimal advertising policy.","PeriodicalId":54672,"journal":{"name":"Optimal Control Applications & Methods","volume":"8 1","pages":"299-304"},"PeriodicalIF":2.0000,"publicationDate":"2007-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1002/OCA.4660080310","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Optimal Control Applications & Methods","FirstCategoryId":"94","ListUrlMain":"https://doi.org/10.1002/OCA.4660080310","RegionNum":4,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"AUTOMATION & CONTROL SYSTEMS","Score":null,"Total":0}
引用次数: 1
Abstract
A stochastic (diffusion) sales response model to advertising is postulated. Optimum advertising policies are then found by solving a stochastic control problem with reflecting boundaries. Analytical results are obtained and interpreted to yield insights regarding a firm's risk behaviour and its optimal advertising policy.
期刊介绍:
Optimal Control Applications & Methods provides a forum for papers on the full range of optimal and optimization based control theory and related control design methods. The aim is to encourage new developments in control theory and design methodologies that will lead to real advances in control applications. Papers are also encouraged on the development, comparison and testing of computational algorithms for solving optimal control and optimization problems. The scope also includes papers on optimal estimation and filtering methods which have control related applications. Finally, it will provide a focus for interesting optimal control design studies and report real applications experience covering problems in implementation and robustness.