{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,8,21]],"date-time":"2025-08-21T17:45:51Z","timestamp":1755798351647,"version":"3.44.0"},"reference-count":13,"publisher":"World Scientific Pub Co Pte Ltd","issue":"03","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. Game Theory Rev."],"published-print":{"date-parts":[[2025,9]]},"abstract":"<jats:p> In this paper, we investigate a discrete search game called the Multiple Caching Game where the searcher\u2019s aim is to find all of a set of [Formula: see text] treasures hidden in [Formula: see text] locations. Allowed queries are sets of locations of size [Formula: see text], and the searcher wins if in all [Formula: see text] queries, at least one treasure is hidden in one of the [Formula: see text] picked locations. P\u00e1lv\u00f6lgyi showed that the value of the game is at most [Formula: see text], with equality for large enough [Formula: see text]. We conjecture the exact cases of equality. We also investigate variants of the game and show an example where their values are different, answering a question of P\u00e1lv\u00f6lgyi. This game is closely related to a continuous variant, Alpern\u2019s Caching Game, based on which we define other continous variants of the multiple caching game and examine their values. <\/jats:p>","DOI":"10.1142\/s0219198925500057","type":"journal-article","created":{"date-parts":[[2025,3,14]],"date-time":"2025-03-14T06:13:42Z","timestamp":1741932822000},"source":"Crossref","is-referenced-by-count":0,"title":["Caching and Accumulation Games"],"prefix":"10.1142","volume":"27","author":[{"ORCID":"https:\/\/orcid.org\/0009-0001-9918-8781","authenticated-orcid":false,"given":"\u00c1ron","family":"J\u00e1nosik","sequence":"first","affiliation":[{"name":"Department of Operations Research, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary"}]},{"given":"Csenge","family":"Mikl\u00f3s","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Copenhagen, Copenhagen, Denmark"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-3750-9666","authenticated-orcid":false,"given":"D\u00e1niel G.","family":"Simon","sequence":"additional","affiliation":[{"name":"Department of Computer Science, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary"},{"name":"HUN-REN Alfr\u00e9d R\u00e9nyi Institute of Mathematics, Budapest, Hungary"}]},{"ORCID":"https:\/\/orcid.org\/0009-0001-8092-0004","authenticated-orcid":false,"given":"Krist\u00f3f","family":"Z\u00f3lomy","sequence":"additional","affiliation":[{"name":"Department of Computer Science, E\u00f6tv\u00f6s Lor\u00e1nd University, Budapest, Hungary"}]}],"member":"219","published-online":{"date-parts":[[2025,4,29]]},"reference":[{"doi-asserted-by":"publisher","key":"S0219198925500057BIB001","DOI":"10.1137\/080741926"},{"doi-asserted-by":"publisher","key":"S0219198925500057BIB002","DOI":"10.1007\/978-1-4614-6825-7"},{"doi-asserted-by":"publisher","key":"S0219198925500057BIB003","DOI":"10.1098\/rsif.2011.0581"},{"key":"S0219198925500057BIB004","series-title":"Colloquia Mathematica Societatis J\u00e1nos Bolyai 10","first-page":"91","volume-title":"Infinite and Finite Sets, Proc. Colloq. held at Keszthely","author":"Baranyai Zs.","year":"1973"},{"doi-asserted-by":"publisher","key":"S0219198925500057BIB006","DOI":"10.1002\/nav.21674"},{"doi-asserted-by":"publisher","key":"S0219198925500057BIB007","DOI":"10.1080\/02331934.2023.2252840"},{"issue":"1","key":"S0219198925500057BIB008","first-page":"52","volume":"21","author":"Hamido\u011flu A.","year":"2024","journal-title":"Appl. Comput. 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Jpn."}],"container-title":["International Game Theory Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0219198925500057","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,8,19]],"date-time":"2025-08-19T03:31:09Z","timestamp":1755574269000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0219198925500057"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,4,29]]},"references-count":13,"journal-issue":{"issue":"03","published-print":{"date-parts":[[2025,9]]}},"alternative-id":["10.1142\/S0219198925500057"],"URL":"https:\/\/doi.org\/10.1142\/s0219198925500057","relation":{},"ISSN":["0219-1989","1793-6675"],"issn-type":[{"type":"print","value":"0219-1989"},{"type":"electronic","value":"1793-6675"}],"subject":[],"published":{"date-parts":[[2025,4,29]]},"article-number":"2550005"}}