{"title":"Wordle 的精确解决方案","authors":"Dimitris Bertsimas, Alex Paskov","doi":"10.1287/opre.2022.0434","DOIUrl":null,"url":null,"abstract":"Optimal Strategies for Wordle and its Variants Motivated by the recent, explosive popularity of Wordle and a suite of suboptimal attempts to solve the game, “An Exact Solution to Wordle,” by Dimitris Bertsimas and Alex Paskov, proposes a new and scalable framework to exactly solve Wordle and any of its variants. Namely through modeling the game as a finite-state Markov decision process and deriving several theoretical and computational speed-ups, Bertsimas and Paskov outline an algorithm to solve the game. Ultimately, they find that “SALET” is the best starting word and that the best strategy solves the game in 3.42 moves in expectation. Results and analysis are also extended for recent variants and settings, such as Wordle Hard Mode or optimizing against a worst-case situation.","PeriodicalId":54680,"journal":{"name":"Operations Research","volume":null,"pages":null},"PeriodicalIF":2.2000,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"An Exact Solution to Wordle\",\"authors\":\"Dimitris Bertsimas, Alex Paskov\",\"doi\":\"10.1287/opre.2022.0434\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"Optimal Strategies for Wordle and its Variants Motivated by the recent, explosive popularity of Wordle and a suite of suboptimal attempts to solve the game, “An Exact Solution to Wordle,” by Dimitris Bertsimas and Alex Paskov, proposes a new and scalable framework to exactly solve Wordle and any of its variants. Namely through modeling the game as a finite-state Markov decision process and deriving several theoretical and computational speed-ups, Bertsimas and Paskov outline an algorithm to solve the game. Ultimately, they find that “SALET” is the best starting word and that the best strategy solves the game in 3.42 moves in expectation. Results and analysis are also extended for recent variants and settings, such as Wordle Hard Mode or optimizing against a worst-case situation.\",\"PeriodicalId\":54680,\"journal\":{\"name\":\"Operations Research\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":2.2000,\"publicationDate\":\"2024-02-13\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Operations Research\",\"FirstCategoryId\":\"91\",\"ListUrlMain\":\"https://doi.org/10.1287/opre.2022.0434\",\"RegionNum\":3,\"RegionCategory\":\"管理学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MANAGEMENT\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Operations Research","FirstCategoryId":"91","ListUrlMain":"https://doi.org/10.1287/opre.2022.0434","RegionNum":3,"RegionCategory":"管理学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MANAGEMENT","Score":null,"Total":0}
Optimal Strategies for Wordle and its Variants Motivated by the recent, explosive popularity of Wordle and a suite of suboptimal attempts to solve the game, “An Exact Solution to Wordle,” by Dimitris Bertsimas and Alex Paskov, proposes a new and scalable framework to exactly solve Wordle and any of its variants. Namely through modeling the game as a finite-state Markov decision process and deriving several theoretical and computational speed-ups, Bertsimas and Paskov outline an algorithm to solve the game. Ultimately, they find that “SALET” is the best starting word and that the best strategy solves the game in 3.42 moves in expectation. Results and analysis are also extended for recent variants and settings, such as Wordle Hard Mode or optimizing against a worst-case situation.
期刊介绍:
Operations Research publishes quality operations research and management science works of interest to the OR practitioner and researcher in three substantive categories: methods, data-based operational science, and the practice of OR. The journal seeks papers reporting underlying data-based principles of operational science, observations and modeling of operating systems, contributions to the methods and models of OR, case histories of applications, review articles, and discussions of the administrative environment, history, policy, practice, future, and arenas of application of operations research.