Second-order cone reformulation and the price of anarchy of a robust nash-cournot game
dc.contributor.author | Han, D. | |
dc.contributor.author | Lo, H.K. | |
dc.contributor.author | Sun, Jie | |
dc.contributor.author | Yang, H. | |
dc.date.accessioned | 2023-04-16T10:30:10Z | |
dc.date.available | 2023-04-16T10:30:10Z | |
dc.date.issued | 2010 | |
dc.identifier.citation | Han, D. and Lo, H.K. and Sun, J. and Yang, H. 2010. Second-order cone reformulation and the price of anarchy of a robust nash-cournot game. Pacific Journal of Optimization. 6 (2): pp. 211-226. | |
dc.identifier.uri | http://hdl.handle.net/20.500.11937/91439 | |
dc.description.abstract |
We study an n-person Nash-Cournot game with incomplete information, in which the opponents' strategies are only known in a perturbed set and the players try to minimize their worst-case costs, which can vary due to data uncertainty. We show that in several interesting cases, this game can be reformulated as second-order cone optimization problems. We also derive a bound of the price of anarchy for this game, which is a bound on the ratio between the cost at the robust Nash-Cournot equilibria and the cost at the system optima. © 2010 Yokohama Publishers. | |
dc.language | English | |
dc.publisher | Yokohama Publishers | |
dc.subject | Science & Technology | |
dc.subject | Technology | |
dc.subject | Physical Sciences | |
dc.subject | Operations Research & Management Science | |
dc.subject | Mathematics, Applied | |
dc.subject | Mathematics | |
dc.subject | price of anarchy | |
dc.subject | robust Nash-Cournot equilibria | |
dc.subject | second order cone optimization | |
dc.subject | system optimal | |
dc.title | Second-order cone reformulation and the price of anarchy of a robust nash-cournot game | |
dc.type | Journal Article | |
dcterms.source.volume | 6 | |
dcterms.source.number | 2 | |
dcterms.source.startPage | 211 | |
dcterms.source.endPage | 226 | |
dcterms.source.issn | 1348-9151 | |
dcterms.source.title | Pacific Journal of Optimization | |
dcterms.source.place | Japan | |
dc.date.updated | 2023-04-16T10:30:10Z | |
curtin.department | School of Elec Eng, Comp and Math Sci (EECMS) | |
curtin.accessStatus | Open access | |
curtin.faculty | Faculty of Science and Engineering | |
curtin.contributor.orcid | Sun, Jie [0000-0001-5611-1672] | |
curtin.contributor.researcherid | Sun, Jie [B-7926-2016] [G-3522-2010] | |
dcterms.source.eissn | 1349-8169 | |
curtin.contributor.scopusauthorid | Sun, Jie [16312754600] [57190212842] | |
curtin.repositoryagreement | V3 |