2023/04/22 by Dániel Gerbner, Gerbner, Dániel, Balázs Keszegh +7
Computer Science · #Algorithms and Data Compression #Combinatorics (math.CO) #FOS: Mathematics #Machine Learning and Algorithms #Optimization and Search Problems
paper · pdf · doi:10.48550/arxiv.2304.11326
openalex publication_date 2023/04/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
In the game theoretical approach of the basic problem in Combinatorial Search an adversary thinks of a defective element d of an n-element pool X, and the questioner needs to find x by asking questions of type is d∈ Q? for certain subsets Q of X. We study cooperative versions of this problem, where there are multiple questioners, but not all of them learn the answer to the queries. We consider various models that differ in how it is decided who gets to ask the next query, who obtains the answer to the query, and who needs to know the defective element by the end of the process.