{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T14:41:01Z","timestamp":1787323261733,"version":"build-2736575974"},"reference-count":9,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Control Optim."],"published-print":{"date-parts":[[2002,1]]},"abstract":"<jats:p>In this paper, we consider the optimal policy for a generator offering power into a wholesale electricity market operating under a pool arrangement. Anderson and Philpott [Math. Oper. Res., 27 (2002), pp. 82--100] recently discussed necessary conditions for an optimal offer curve when there is uncertainty in the demand and in the behavior of other participants in the market. They show that the objective function in these circumstances can be expressed as a line integral along the offer curve of a profit function integrated with respect to a market distribution function. In this paper, we prove the existence of an optimal offer stack, and we extend the analysis of [Math. Oper. Res., 27 (2002), pp. 82--100] to include necessary conditions of a higher order in the presence of horizontal and\/or vertical sections in an offer curve. Finally, we establish sufficient conditions for an offer curve to be locally optimal.<\/jats:p>","DOI":"10.1137\/s0363012900367801","type":"journal-article","created":{"date-parts":[[2003,6,11]],"date-time":"2003-06-11T11:12:06Z","timestamp":1055329926000},"page":"1212-1228","source":"Crossref","is-referenced-by-count":24,"title":["Necessary and Sufficient Conditions for Optimal Offers in Electricity Markets"],"prefix":"10.1137","volume":"41","author":[{"given":"Edward J.","family":"Anderson","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Huifu","family":"Xu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,26]]},"reference":[{"key":"R1","doi-asserted-by":"publisher","DOI":"10.1287\/moor.27.1.82.338"},{"key":"R2","doi-asserted-by":"publisher","DOI":"10.1016\/0140-9883(92)90002-U"},{"key":"R3","doi-asserted-by":"crossref","unstructured":"H.\u2010P. Chao and H. G. Huntington,\n                      Designing Competitive Electricity Markets\n                      , Kluwer Academic, Boston, 1998.","DOI":"10.1007\/978-1-4615-5547-6"},{"key":"R4","unstructured":"N.\u2010H. von der Fehr and D. Harbord,\n                      Competition in Electricity Spot Markets, Economic Theory and International Experience\n                      , Memorandum, Department of Economics, University of Oslo, Oslo, Norway, 1998."},{"key":"R5","doi-asserted-by":"publisher","DOI":"10.1086\/261846"},{"key":"R6","unstructured":"G. Gross and D. J. Finlay,\n                      Optimal bidding strategies in competetive electricity markets\n                      , in Proceedings of the 12th Power Systems Computation Conference, Dresden, Germany, August 1996, pp. 815\u2013823."},{"key":"R7","doi-asserted-by":"publisher","DOI":"10.1287\/opre.34.3.395"},{"key":"R8","doi-asserted-by":"publisher","DOI":"10.5547\/ISSN0195-6574-EJ-Vol19-No3-2"},{"key":"R9","doi-asserted-by":"publisher","DOI":"10.1287\/opre.47.1.102"}],"container-title":["SIAM Journal on Control and Optimization"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/S0363012900367801","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T13:51:26Z","timestamp":1787320286000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/S0363012900367801"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2002,1]]},"references-count":9,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2002,1]]}},"alternative-id":["10.1137\/S0363012900367801"],"URL":"https:\/\/doi.org\/10.1137\/s0363012900367801","relation":{},"ISSN":["0363-0129","1095-7138"],"issn-type":[{"value":"0363-0129","type":"print"},{"value":"1095-7138","type":"electronic"}],"subject":[],"published":{"date-parts":[[2002,1]]}}}