eprintid: 4189 rev_number: 20 eprint_status: archive userid: 351 dir: disk0/00/00/41/89 datestamp: 2016-01-15 02:04:42 lastmod: 2021-08-27 17:14:56 status_changed: 2016-01-15 02:04:42 type: monograph metadata_visibility: show item_issues_count: 2 creators_name: Ruszczynski, A. creators_id: 1475 title: A Partial Regularization Method for Saddle Point Seeking ispublished: pub internal_subjects: iis_met internal_subjects: iis_sys divisions: prog_opt abstract: This article generalizes the Nash equilibrium approach to linear programming to the saddle point problem. The problem is shown to be equivalent to a non-zero sum game in which objectives of the players are obtained by partial regularization of the original function. Based on that, a solution method is developed in which the players improve their decisions while anticipating the steps of their opponents. Strong convergence of the method is proved and application to convex optimization is discussed. date: 1994-03 date_type: published publisher: WP-94-020 iiasapubid: WP-94-020 price: 10 creators_browse_id: 1544 full_text_status: public monograph_type: working_paper place_of_pub: IIASA, Laxenburg, Austria pages: 10 coversheets_dirty: FALSE fp7_type: info:eu-repo/semantics/book citation: Ruszczynski, A. (1994). A Partial Regularization Method for Saddle Point Seeking. IIASA Working Paper. IIASA, Laxenburg, Austria: WP-94-020 document_url: https://pure.iiasa.ac.at/id/eprint/4189/1/WP-94-020.pdf