Mogens Fosgerau, Nikolaj Nielsen, Mads Paulsen, Thomas Kjær Rasmussen, Rui Yao
{"title":"扰动效用路线选择模型中的替代问题","authors":"Mogens Fosgerau, Nikolaj Nielsen, Mads Paulsen, Thomas Kjær Rasmussen, Rui Yao","doi":"arxiv-2409.08347","DOIUrl":null,"url":null,"abstract":"This paper considers substitution patterns in the perturbed utility route\nchoice model. We provide a general result that determines the marginal change\nin link flows following a marginal change in link costs across the network. We\ngive a general condition on the network structure under which all paths are\nnecessarily substitutes and an example in which some paths are complements. The\npresence of complementarity contradicts a result in a previous paper in this\njournal; we point out and correct the error.","PeriodicalId":501293,"journal":{"name":"arXiv - ECON - Econometrics","volume":"4 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Substitution in the perturbed utility route choice model\",\"authors\":\"Mogens Fosgerau, Nikolaj Nielsen, Mads Paulsen, Thomas Kjær Rasmussen, Rui Yao\",\"doi\":\"arxiv-2409.08347\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"This paper considers substitution patterns in the perturbed utility route\\nchoice model. We provide a general result that determines the marginal change\\nin link flows following a marginal change in link costs across the network. We\\ngive a general condition on the network structure under which all paths are\\nnecessarily substitutes and an example in which some paths are complements. The\\npresence of complementarity contradicts a result in a previous paper in this\\njournal; we point out and correct the error.\",\"PeriodicalId\":501293,\"journal\":{\"name\":\"arXiv - ECON - Econometrics\",\"volume\":\"4 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - ECON - Econometrics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.08347\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - ECON - Econometrics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.08347","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Substitution in the perturbed utility route choice model
This paper considers substitution patterns in the perturbed utility route
choice model. We provide a general result that determines the marginal change
in link flows following a marginal change in link costs across the network. We
give a general condition on the network structure under which all paths are
necessarily substitutes and an example in which some paths are complements. The
presence of complementarity contradicts a result in a previous paper in this
journal; we point out and correct the error.