A Liability Allocation Game

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aut.relation.endpage79
aut.relation.issue1en_NZ
aut.relation.journalJournal of Computational Methods in Sciences and Engineeringen_NZ
aut.relation.startpage65
aut.relation.volume20en_NZ
aut.researcherHutcheson, Catherine
dc.contributor.authorHankin, RKSen_NZ
dc.date.accessioned2021-02-10T00:44:38Z
dc.date.available2021-02-10T00:44:38Z
dc.date.copyright2019en_NZ
dc.date.issued2019en_NZ
dc.description.abstractThe following problem is considered. Two players are each required to allocate a quota of n counters among k boxes labelled 1, 2, … , k. At times t= 1, 2, 3, … a random box is identified; the probability of choosing box i is pi. If a player has at least one counter in the chosen box, she removes one counter from it; otherwise she takes no action. The winner is the first player to remove all her counters. The game so described may be modified so that each player simultaneously, but independently, identifies a box at random. This paper analyses this deceptively simple game, which has apparently not been studied in the literature. Some analytical and numerical results are then presented, followed by some challenges for further work.
dc.identifier.citationJournal of Computational Methods in Sciences and Engineering, vol. 20, no. 1, pp. 65-79, 2020
dc.identifier.doi10.3233/jcm-193658en_NZ
dc.identifier.issn1472-7978en_NZ
dc.identifier.issn1875-8983en_NZ
dc.identifier.urihttps://hdl.handle.net/10292/13980
dc.publisherIOS Pressen_NZ
dc.relation.urihttps://content.iospress.com/articles/journal-of-computational-methods-in-sciences-and-engineering/jcm193858
dc.rightsThe final publication is available at IOS Press through http://dx.doi.org/10.3233/JCM-193658
dc.rights.accessrightsOpenAccessen_NZ
dc.subjectZero-sum game; Liability allocation game; Allocation game; Colonel Blotto; Coupon collector’s problem
dc.titleA Liability Allocation Gameen_NZ
dc.typeJournal Article
pubs.elements-id367921
pubs.organisational-data/AUT
pubs.organisational-data/AUT/Design & Creative Technologies
pubs.organisational-data/AUT/Design & Creative Technologies/Engineering, Computer & Mathematical Sciences
pubs.organisational-data/AUT/PBRF
pubs.organisational-data/AUT/PBRF/PBRF Design and Creative Technologies
pubs.organisational-data/AUT/PBRF/PBRF Design and Creative Technologies/PBRF ECMS
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