Existence of a unique Nash equilibrium for an asymmetric lottery Blotto game with weighted majority
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Kim, Bara | - |
dc.contributor.author | Kim, Jeongsim | - |
dc.date.accessioned | 2021-09-01T00:33:45Z | - |
dc.date.available | 2021-09-01T00:33:45Z | - |
dc.date.created | 2021-06-18 | - |
dc.date.issued | 2019-11-01 | - |
dc.identifier.issn | 0022-247X | - |
dc.identifier.uri | https://scholar.korea.ac.kr/handle/2021.sw.korea/61957 | - |
dc.description.abstract | We consider an asymmetric lottery Blotto game with two agents and n items, where both agents wish to maximize their probability of winning a majority value of all n items. Duffy and Matros [2] showed that if there exists a Nash equilibrium, then the equilibrium is unique, and it is found in an explicit expression. They also provided sufficient conditions for the existence of a Nash equilibrium in the cases of n = 3 and n = 4. In this paper, we prove that the lottery Blotto game always has a unique Nash equilibrium for any value of n. (C) 2019 Elsevier Inc. All rights reserved. | - |
dc.language | English | - |
dc.language.iso | en | - |
dc.publisher | ACADEMIC PRESS INC ELSEVIER SCIENCE | - |
dc.title | Existence of a unique Nash equilibrium for an asymmetric lottery Blotto game with weighted majority | - |
dc.type | Article | - |
dc.contributor.affiliatedAuthor | Kim, Bara | - |
dc.identifier.doi | 10.1016/j.jmaa.2019.07.004 | - |
dc.identifier.scopusid | 2-s2.0-85068354108 | - |
dc.identifier.wosid | 000480510700069 | - |
dc.identifier.bibliographicCitation | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, v.479, no.1, pp.1403 - 1415 | - |
dc.relation.isPartOf | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.title | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | - |
dc.citation.volume | 479 | - |
dc.citation.number | 1 | - |
dc.citation.startPage | 1403 | - |
dc.citation.endPage | 1415 | - |
dc.type.rims | ART | - |
dc.type.docType | Article | - |
dc.description.journalClass | 1 | - |
dc.description.journalRegisteredClass | scie | - |
dc.description.journalRegisteredClass | scopus | - |
dc.relation.journalResearchArea | Mathematics | - |
dc.relation.journalWebOfScienceCategory | Mathematics, Applied | - |
dc.relation.journalWebOfScienceCategory | Mathematics | - |
dc.subject.keywordAuthor | Lottery Blotto game | - |
dc.subject.keywordAuthor | Nash equilibrium | - |
dc.subject.keywordAuthor | Weighted majority | - |
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