{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T21:51:04Z","timestamp":1713217864247},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,9,6]],"date-time":"2012-09-06T00:00:00Z","timestamp":1346889600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Optim Theory Appl"],"published-print":{"date-parts":[[2013,5]]},"DOI":"10.1007\/s10957-012-0165-8","type":"journal-article","created":{"date-parts":[[2012,9,5]],"date-time":"2012-09-05T09:01:24Z","timestamp":1346835684000},"page":"533-551","source":"Crossref","is-referenced-by-count":2,"title":["An Alternating Direction Method for Nash Equilibrium of Two-Person Games with Alternating Offers"],"prefix":"10.1007","volume":"157","author":[{"given":"Zheng","family":"Peng","sequence":"first","affiliation":[]},{"given":"Wenxing","family":"Zhu","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2012,9,6]]},"reference":[{"key":"165_CR1","volume-title":"Theory of Games and Economic Behavior (sixtieth Anniversary edition)","author":"J. Neumann von","year":"2004","unstructured":"von Neumann, J., Morgenstern, O.: Theory of Games and Economic Behavior (sixtieth Anniversary edition). Princeton University Press, Princeton (2004)"},{"key":"165_CR2","volume-title":"A Course in Game Theory","year":"1994","unstructured":"Osborne, M.J., Rubinstein, A. (eds.): A Course in Game Theory. MIT Press, London (1994)"},{"key":"165_CR3","first-page":"87","volume-title":"Handbook of Computational Economics","author":"R.D. McKelvey","year":"2000","unstructured":"McKelvey, R.D., McLennan, A.: Computation of equilibria in finite games. In: Amman, H., Kendrick, D., Rust, J. (eds.) Handbook of Computational Economics, vol. 1, pp. 87\u2013142. Elsevier, Amsterdam (2000)"},{"key":"165_CR4","first-page":"1723","volume-title":"Handbook of Game Theory","author":"B. Stengel von","year":"2002","unstructured":"von Stengel, B.: Computing equilibria for two-person games. In: Aumann, R., Hart, S. (eds.) Handbook of Game Theory, vol. 3, pp. 1723\u20131759. North-Holland, Amsterdam (2002)"},{"key":"165_CR5","doi-asserted-by":"crossref","first-page":"147","DOI":"10.1007\/s10107-007-0152-2","volume":"120","author":"A. Antipin","year":"2009","unstructured":"Antipin, A.: Extra-proximal methods for solving two-person nonzero-sum games. Math. Program., Ser. B 120, 147\u2013177 (2009)","journal-title":"Math. Program., Ser. B"},{"key":"165_CR6","doi-asserted-by":"crossref","first-page":"71","DOI":"10.1016\/j.econlet.2009.06.001","volume":"105","author":"H. Orbay","year":"2009","unstructured":"Orbay, H.: Computing Cournot equilibrium through maximization over prices. Econ. Lett. 105, 71\u201373 (2009)","journal-title":"Econ. Lett."},{"issue":"1","key":"165_CR7","first-page":"125","volume":"7","author":"Y.X. Yuan","year":"2010","unstructured":"Yuan, Y.X.: A trust region algorithm for Nash equilibrium problems. Pac. J. Optim. 7(1), 125\u2013138 (2010)","journal-title":"Pac. J. Optim."},{"key":"165_CR8","doi-asserted-by":"crossref","first-page":"177","DOI":"10.1007\/s10479-009-0653-x","volume":"175","author":"F. Facchinei","year":"2010","unstructured":"Facchinei, F., Kanzow, C.: Generalized Nash equilibrium problems. Ann. Oper. Res. 175, 177\u2013211 (2010)","journal-title":"Ann. Oper. Res."},{"key":"165_CR9","doi-asserted-by":"crossref","first-page":"89","DOI":"10.1007\/s10589-008-9173-x","volume":"45","author":"J.Z. Zhang","year":"2010","unstructured":"Zhang, J.Z., Qu, B., Xiu, N.H.: Some projection-like methods for the generalized Nash equilibria. Comput. Optim. Appl. 45, 89\u2013109 (2010)","journal-title":"Comput. Optim. Appl."},{"key":"165_CR10","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1016\/j.ejor.2011.08.008","volume":"216","author":"D.R. Han","year":"2012","unstructured":"Han, D.R., Zhang, H.C., Qian, G., Xu, L.L.: An improved two-step method for solving generalized Nash equilibrium problems. Eur. J. Oper. Res. 216, 613\u2013623 (2012)","journal-title":"Eur. J. Oper. Res."},{"key":"165_CR11","unstructured":"Xu, L.L., Han, D.R.: A proximal alternating direction method for weakly coupled variational inequalities. Pac. J. Optim. (2012, to appear)"},{"issue":"2","key":"165_CR12","doi-asserted-by":"crossref","first-page":"237","DOI":"10.1007\/s10589-010-9331-9","volume":"50","author":"F. Facchinei","year":"2011","unstructured":"Facchinei, F., Piccialli, V., Sciandrone, M.: Decomposition algorithms for generalized potential games. Comput. Optim. Appl. 50(2), 237\u2013262 (2011)","journal-title":"Comput. Optim. Appl."},{"key":"165_CR13","doi-asserted-by":"crossref","first-page":"129","DOI":"10.1016\/S0304-3878(01)00180-8","volume":"67","author":"I. Ray","year":"2002","unstructured":"Ray, I., Williams, J.: Locational asymmetry and the potential for cooperation on a canal. J. Dev. Econ. 67, 129\u2013155 (2002)","journal-title":"J. Dev. Econ."},{"issue":"1","key":"165_CR14","doi-asserted-by":"crossref","first-page":"117","DOI":"10.1287\/moor.10.1.117","volume":"10","author":"S. Hart","year":"1985","unstructured":"Hart, S.: Nonzero-sum two-person repeated games with incomplete information. Math. Oper. Res. 10(1), 117\u2013153 (1985)","journal-title":"Math. Oper. Res."},{"key":"165_CR15","doi-asserted-by":"crossref","first-page":"25","DOI":"10.1007\/s11127-007-9212-7","volume":"133","author":"A. Diskin","year":"2007","unstructured":"Diskin, A., Felsenthal, D.: Individual rationality and bargaining. Public Choice 133, 25\u201329 (2007)","journal-title":"Public Choice"},{"issue":"2","key":"165_CR16","doi-asserted-by":"crossref","first-page":"286","DOI":"10.2307\/1969529","volume":"54","author":"J. Nash","year":"1951","unstructured":"Nash, J.: Non-cooperative games. Ann. Math. 54(2), 286\u2013295 (1951)","journal-title":"Ann. Math."},{"key":"165_CR17","doi-asserted-by":"crossref","first-page":"337","DOI":"10.1023\/A:1004603514434","volume":"106","author":"B.S. He","year":"2000","unstructured":"He, B.S., Yang, H., Wang, S.L.: Alternating directions method with self-adaptive penalty parameters for monotone variational inequalities. J. Optim. Theory Appl. 106, 337\u2013356 (2000)","journal-title":"J. Optim. Theory Appl."},{"key":"165_CR18","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1137\/0103003","volume":"3","author":"D. Peaceman","year":"1955","unstructured":"Peaceman, D., Racheord, H.: The numerical solution of parabolic and elliptic differential equations. J. Soc. Ind. Appl. Math. 3, 28\u201341 (1955)","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"165_CR19","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1137\/0103004","volume":"3","author":"J. Douglas","year":"1955","unstructured":"Douglas, J.: On the numerical integration of U xx +U yy =U t by implicit methods. J. Soc. Ind. Appl. Math. 3, 42\u201365 (1955)","journal-title":"J. Soc. Ind. Appl. Math."},{"key":"165_CR20","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/BF01581204","volume":"55","author":"J. Eckstein","year":"1992","unstructured":"Eckstein, J., Bertsekas, D.P.: On the Douglas\u2013Rachford splitting method and the proximal point algorithm for maximal monotone operators. Math. Program. 55, 293\u2013318 (1992)","journal-title":"Math. Program."},{"key":"165_CR21","doi-asserted-by":"crossref","first-page":"173","DOI":"10.1007\/s10107-006-0070-8","volume":"111","author":"J. Eckstein","year":"2008","unstructured":"Eckstein, J., Svaiter, B.F.: A family of projective splitting methods for the sum of two maximal monotone operators. Math. Program., Ser. B 111, 173\u2013199 (2008)","journal-title":"Math. Program., Ser. B"},{"key":"165_CR22","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/BF00247655","volume":"1","author":"M. Fukushima","year":"1992","unstructured":"Fukushima, M.: Application of the alternating direction method of multipliers to separable convex programming problems. Comput. Optim. Appl. 1, 93\u2013111 (1992)","journal-title":"Comput. Optim. Appl."},{"key":"165_CR23","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1007\/s101070100280","volume":"92","author":"B.S. He","year":"2002","unstructured":"He, B.S., Liao, L.Z., Han, D.R., Yang, H.: A new inexact alternating directions method for monotone variational inequalities. Math. Program., Ser. A 92, 103\u2013118 (2002)","journal-title":"Math. Program., Ser. A"},{"key":"165_CR24","doi-asserted-by":"crossref","first-page":"951","DOI":"10.1137\/S1052623495279797","volume":"7","author":"P. Tseng","year":"1997","unstructured":"Tseng, P.: Alternating projection-proximal methods for convex programming and variational inequalities. SIAM J. Optim. 7, 951\u2013965 (1997)","journal-title":"SIAM J. Optim."},{"key":"165_CR25","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/s10107-007-0160-2","volume":"117","author":"F. Facchinei","year":"2009","unstructured":"Facchinei, F., Fischer, A., Piccialli, V.: Generalized Nash equilibrium problems and Newton methods. Math. Program. 117, 163\u2013194 (2009)","journal-title":"Math. Program."},{"key":"165_CR26","doi-asserted-by":"crossref","first-page":"2228","DOI":"10.1137\/090749499","volume":"20","author":"F. Facchinei","year":"2010","unstructured":"Facchinei, F., Kanzow, C.: Penalty methods for the solution of generalized Nash equilibrium problems. SIAM J. Optim. 20, 2228\u20132253 (2010)","journal-title":"SIAM J. Optim."},{"key":"165_CR27","doi-asserted-by":"crossref","first-page":"63","DOI":"10.1023\/A:1019097208499","volume":"5","author":"J. Krawczyk","year":"2000","unstructured":"Krawczyk, J., Uryasev, S.: Relaxation algorithms to find Nash equilibria with economic applications. Environ. Model. Assess. 5, 63\u201373 (2000)","journal-title":"Environ. Model. Assess."},{"key":"165_CR28","doi-asserted-by":"crossref","first-page":"347","DOI":"10.1007\/s10957-008-9353-y","volume":"137","author":"G. Marco De","year":"2008","unstructured":"De Marco, G., Morgan, J.: Slightly altruistic equilibria. J. Optim. Theory Appl. 137, 347\u2013362 (2008)","journal-title":"J. Optim. Theory Appl."}],"container-title":["Journal of Optimization Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0165-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10957-012-0165-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10957-012-0165-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,2]],"date-time":"2019-06-02T05:55:18Z","timestamp":1559454918000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10957-012-0165-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,9,6]]},"references-count":28,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2013,5]]}},"alternative-id":["165"],"URL":"https:\/\/doi.org\/10.1007\/s10957-012-0165-8","relation":{},"ISSN":["0022-3239","1573-2878"],"issn-type":[{"value":"0022-3239","type":"print"},{"value":"1573-2878","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,9,6]]}}}