{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,28]],"date-time":"2022-03-28T22:52:58Z","timestamp":1648507978325},"reference-count":20,"publisher":"Cambridge University Press (CUP)","issue":"4","license":[{"start":{"date-parts":[[2005,8,31]],"date-time":"2005-08-31T00:00:00Z","timestamp":1125446400000},"content-version":"unspecified","delay-in-days":0,"URL":"https:\/\/www.cambridge.org\/core\/terms"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Prob. Eng. Inf. Sci."],"published-print":{"date-parts":[[2005,10]]},"abstract":"<jats:p>It is known that Cournot game theory has been one of the theoretical \napproaches used more often to model electricity market behavior. \nNevertheless, this approach is highly influenced by the residual demand \ncurves of the market agents, which are usually not precisely known. This \nimperfect information has normally been studied with probability theory, \nbut possibility theory might sometimes be more helpful in modeling not \nonly uncertainty but also imprecision and vagueness. In this paper, two \ndual approaches are proposed to compute a robust Cournot equilibrium, when \nthe residual demand uncertainty is modeled with possibility distributions. \nAdditionally, it is shown that these two approaches can be combined into a \nbicriteria programming model, which can be solved with an iterative \nalgorithm. Some interesting results for a real-size electricity system \nshow the robustness of the proposed methodology.<\/jats:p>","DOI":"10.1017\/s0269964805050345","type":"journal-article","created":{"date-parts":[[2005,10,7]],"date-time":"2005-10-07T17:43:07Z","timestamp":1128706987000},"page":"519-531","source":"Crossref","is-referenced-by-count":3,"title":["APPLICATION OF POSSIBILITY THEORY TO ROBUST COURNOT EQUILIBRIUM IN \nTHE ELECTRICITY MARKET"],"prefix":"10.1017","volume":"19","author":[{"given":"F. A.","family":"Campos","sequence":"first","affiliation":[]},{"given":"J.","family":"Villar","sequence":"additional","affiliation":[]},{"given":"J.","family":"Barqu\u00edn","sequence":"additional","affiliation":[]}],"member":"56","published-online":{"date-parts":[[2005,8,31]]},"reference":[{"key":"S0269964805050345_ref014","unstructured":"Oberguggenberger, O. & Fellin, W. (2002).From probability to fuzzy sets: The struggle for meaning ingeotechnical risk assessment. In: R. P\u00f6ttler , H. 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(2004).Medium-term generation programming in competitive environments: Anew optimization approach for market equilibrium computing.IEE Proceedings on Generation Transmission and Distribution 151(1):119\u2013126."},{"key":"S0269964805050345_ref009","doi-asserted-by":"crossref","unstructured":"Dubois, D. & Prade, H. (1988).Possibility theory. An approach to computerized processing ofuncertainty.New York:Plenum.","DOI":"10.1007\/978-1-4684-5287-7"},{"key":"S0269964805050345_ref008","unstructured":"Dubois, D. & Prade, H. (1980).Fuzzy sets and systems: Theory and applications.New York:Academic Press."},{"key":"S0269964805050345_ref018","unstructured":"Zadeh, L.A. (1975).The concept of a linguistic variable and its application toapproximate reasoning.Information Sciences 8:199\u2013249."},{"key":"S0269964805050345_ref005","unstructured":"Cplex (1997).Using the Cplex callable library.Incline Village, NV:ILOG, Inc."},{"key":"S0269964805050345_ref001","unstructured":"Ba\u00edllo, A. 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(2002).Oligopolistic competition in power networks: A conjectured supplyfunction approach.IEEE Transactions on Power Systems 17(3):597\u2013607."}],"container-title":["Probability in the Engineering and Informational Sciences"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.cambridge.org\/core\/services\/aop-cambridge-core\/content\/view\/S0269964805050345","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,3]],"date-time":"2019-05-03T19:59:56Z","timestamp":1556913596000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.cambridge.org\/core\/product\/identifier\/S0269964805050345\/type\/journal_article"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2005,8,31]]},"references-count":20,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2005,10]]}},"alternative-id":["S0269964805050345"],"URL":"https:\/\/doi.org\/10.1017\/s0269964805050345","relation":{},"ISSN":["0269-9648","1469-8951"],"issn-type":[{"value":"0269-9648","type":"print"},{"value":"1469-8951","type":"electronic"}],"subject":[],"published":{"date-parts":[[2005,8,31]]}}}