{"title":"具有有限处理能力的随机选择","authors":"Thierry Marchant , Arunava Sen","doi":"10.1016/j.jmp.2023.102771","DOIUrl":null,"url":null,"abstract":"<div><p>We propose and characterize a class of stochastic decision functions for a decision-maker who has a capacity for processing at most <span><math><mi>k</mi></math></span>-alternatives at a time. When faced with a menu containing more than <span><math><mi>k</mi></math></span> alternatives, she randomly chooses a sub-menu of size <span><math><mi>k</mi></math></span> with uniform probability and selects the best alternative according to a strict ordering <span><math><mo>≻</mo></math></span>. For smaller menus, she chooses the best alternative according to <span><math><mo>≻</mo></math></span>.</p></div>","PeriodicalId":2,"journal":{"name":"ACS Applied Bio Materials","volume":null,"pages":null},"PeriodicalIF":4.6000,"publicationDate":"2023-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":"{\"title\":\"Stochastic choice with bounded processing capacity\",\"authors\":\"Thierry Marchant , Arunava Sen\",\"doi\":\"10.1016/j.jmp.2023.102771\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We propose and characterize a class of stochastic decision functions for a decision-maker who has a capacity for processing at most <span><math><mi>k</mi></math></span>-alternatives at a time. When faced with a menu containing more than <span><math><mi>k</mi></math></span> alternatives, she randomly chooses a sub-menu of size <span><math><mi>k</mi></math></span> with uniform probability and selects the best alternative according to a strict ordering <span><math><mo>≻</mo></math></span>. For smaller menus, she chooses the best alternative according to <span><math><mo>≻</mo></math></span>.</p></div>\",\"PeriodicalId\":2,\"journal\":{\"name\":\"ACS Applied Bio Materials\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":4.6000,\"publicationDate\":\"2023-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"2\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"ACS Applied Bio Materials\",\"FirstCategoryId\":\"102\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0022249623000275\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATERIALS SCIENCE, BIOMATERIALS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"ACS Applied Bio Materials","FirstCategoryId":"102","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0022249623000275","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATERIALS SCIENCE, BIOMATERIALS","Score":null,"Total":0}
Stochastic choice with bounded processing capacity
We propose and characterize a class of stochastic decision functions for a decision-maker who has a capacity for processing at most -alternatives at a time. When faced with a menu containing more than alternatives, she randomly chooses a sub-menu of size with uniform probability and selects the best alternative according to a strict ordering . For smaller menus, she chooses the best alternative according to .