{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T06:08:04Z","timestamp":1743055684118,"version":"3.40.3"},"publisher-location":"Cham","reference-count":26,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030046118"},{"type":"electronic","value":"9783030046125"}],"license":[{"start":{"date-parts":[[2018,1,1]],"date-time":"2018-01-01T00:00:00Z","timestamp":1514764800000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-030-04612-5_5","type":"book-chapter","created":{"date-parts":[[2018,11,20]],"date-time":"2018-11-20T15:09:45Z","timestamp":1542726585000},"page":"66-79","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Revealed Preference Dimension via Matrix Sign Rank"],"prefix":"10.1007","author":[{"given":"Shant","family":"Boodaghians","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2018,11,21]]},"reference":[{"issue":"1","key":"5_CR1","doi-asserted-by":"publisher","first-page":"67","DOI":"10.2307\/2525382","volume":"8","author":"SN Afriat","year":"1967","unstructured":"Afriat, S.N.: The construction of utility functions from expenditure data. Int. Econ. Rev. 8(1), 67\u201377 (1967)","journal-title":"Int. Econ. Rev."},{"key":"5_CR2","unstructured":"Alon, N., Moran, S., Yehudayoff, A.: Sign rank versus VC dimension. In: Conference on Learning Theory, pp. 47\u201380 (2016)"},{"issue":"5","key":"5_CR3","doi-asserted-by":"publisher","first-page":"446","DOI":"10.1257\/aer.104.5.446","volume":"104","author":"LM Ausubel","year":"2014","unstructured":"Ausubel, L.M., Baranov, O.V.: Market design and the evolution of the combinatorial clock auction. Am. Econ. Rev. 104(5), 446\u201351 (2014)","journal-title":"Am. Econ. Rev."},{"key":"5_CR4","doi-asserted-by":"crossref","unstructured":"Ausubel, L.M., Cramton, P., Milgrom, P.: The clock-proxy auction: a practical combinatorial auction design (2006)","DOI":"10.7551\/mitpress\/9780262033428.003.0006"},{"issue":"1","key":"5_CR5","doi-asserted-by":"publisher","first-page":"11","DOI":"10.1002\/net.3230020103","volume":"2","author":"KA Baker","year":"1972","unstructured":"Baker, K.A., Fishburn, P.C., Roberts, F.S.: Partial orders of dimension 2. Networks 2(1), 11\u201328 (1972)","journal-title":"Networks"},{"key":"5_CR6","unstructured":"Bhangale, A., Kopparty, S.: The complexity of computing the minimum rank of a sign pattern matrix. arXiv preprint arXiv:1503.04486 (2015)"},{"key":"5_CR7","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"125","DOI":"10.1007\/978-3-662-48433-3_10","volume-title":"Algorithmic Game Theory","author":"S Boodaghians","year":"2015","unstructured":"Boodaghians, S., Vetta, A.: The combinatorial world (of auctions) according to GARP. In: Hoefer, M. (ed.) SAGT 2015. LNCS, vol. 9347, pp. 125\u2013136. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-48433-3_10"},{"key":"5_CR8","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"187","DOI":"10.1007\/978-3-662-48995-6_14","volume-title":"Web and Internet Economics","author":"S Boodaghians","year":"2015","unstructured":"Boodaghians, S., Vetta, A.: Testing consumer rationality using perfect graphs and oriented discs. In: Markakis, E., Sch\u00e4fer, G. (eds.) WINE 2015. LNCS, vol. 9470, pp. 187\u2013200. Springer, Heidelberg (2015). https:\/\/doi.org\/10.1007\/978-3-662-48995-6_14"},{"key":"5_CR9","doi-asserted-by":"crossref","unstructured":"Boser, B.E., Guyon, I.M., Vapnik, V.N.: A training algorithm for optimal margin classifiers. In: Proceedings of the Fifth Annual Workshop on Computational Learning Theory, pp. 144\u2013152. ACM (1992)","DOI":"10.1145\/130385.130401"},{"key":"5_CR10","doi-asserted-by":"crossref","unstructured":"Chambers, C.P., Echenique, F.: Rational demand: 3.1. Revealed preference graphs, Chap. 3. In: Revealed Preference Theory. Cambridge University Press, Cambridge (2016)","DOI":"10.1017\/CBO9781316104293"},{"issue":"2","key":"5_CR11","doi-asserted-by":"publisher","first-page":"493","DOI":"10.3982\/TE1924","volume":"12","author":"CP Chambers","year":"2017","unstructured":"Chambers, C.P., Echenique, F., Shmaya, E.: General revealed preference theory. Theor. Econ. 12(2), 493\u2013511 (2017)","journal-title":"Theor. Econ."},{"issue":"2","key":"5_CR12","doi-asserted-by":"publisher","first-page":"161","DOI":"10.1007\/s11151-013-9376-x","volume":"42","author":"P Cramton","year":"2013","unstructured":"Cramton, P.: Spectrum auction design. Rev. Ind. Organ. 42(2), 161\u2013190 (2013)","journal-title":"Rev. Ind. Organ."},{"key":"5_CR13","doi-asserted-by":"publisher","first-page":"203","DOI":"10.1016\/j.jmateco.2013.11.005","volume":"50","author":"R Deb","year":"2014","unstructured":"Deb, R., Pai, M.M.: The geometry of revealed preference. J. Math. Econ. 50, 203\u2013207 (2014)","journal-title":"J. Math. Econ."},{"issue":"2","key":"5_CR14","doi-asserted-by":"publisher","first-page":"167","DOI":"10.1023\/A:1006110326269","volume":"15","author":"PC Fishburn","year":"1998","unstructured":"Fishburn, P.C., Trotter, W.T.: Geometric containment orders: a survey. Order 15(2), 167\u2013182 (1998)","journal-title":"Order"},{"issue":"4","key":"5_CR15","doi-asserted-by":"publisher","first-page":"612","DOI":"10.1016\/S0022-0000(02)00019-3","volume":"65","author":"J Forster","year":"2002","unstructured":"Forster, J.: A linear lower bound on the unbounded error probabilistic communication complexity. J. Comput. Syst. Sci. 65(4), 612\u2013625 (2002)","journal-title":"J. Comput. Syst. Sci."},{"key":"5_CR16","doi-asserted-by":"publisher","first-page":"701","DOI":"10.2307\/2109817","volume":"77","author":"J Gross","year":"1995","unstructured":"Gross, J.: Testing data for consistency with revealed preference. Rev. Econ. Stat. 77, 701\u2013710 (1995)","journal-title":"Rev. Econ. Stat."},{"issue":"7","key":"5_CR17","doi-asserted-by":"publisher","first-page":"1271","DOI":"10.1016\/j.cor.2009.09.003","volume":"37","author":"P Harsha","year":"2010","unstructured":"Harsha, P., Barnhart, C., Parkes, D.C., Zhang, H.: Strong activity rules for iterative combinatorial auctions. Comput. Oper. Res. 37(7), 1271\u20131284 (2010)","journal-title":"Comput. Oper. Res."},{"key":"5_CR18","doi-asserted-by":"publisher","DOI":"10.1007\/b104891","volume-title":"Ordered Sets","author":"E Harzheim","year":"2006","unstructured":"Harzheim, E.: Ordered Sets. Springer, Boston (2006). https:\/\/doi.org\/10.1007\/b104891"},{"issue":"66","key":"5_CR19","doi-asserted-by":"publisher","first-page":"159","DOI":"10.2307\/2549382","volume":"17","author":"HS Houthakker","year":"1950","unstructured":"Houthakker, H.S.: Revealed preference and the utility function. Economica 17(66), 159\u2013174 (1950)","journal-title":"Economica"},{"issue":"5","key":"5_CR20","doi-asserted-by":"publisher","first-page":"1833","DOI":"10.1137\/080744037","volume":"39","author":"AA Razborov","year":"2010","unstructured":"Razborov, A.A., Sherstov, A.A.: The sign-rank of AC$$^0$$. SIAM J. Comput. 39(5), 1833\u20131855 (2010)","journal-title":"SIAM J. Comput."},{"issue":"2","key":"5_CR21","doi-asserted-by":"publisher","first-page":"124","DOI":"10.2307\/2296210","volume":"25","author":"H Rose","year":"1958","unstructured":"Rose, H.: Consistency of preference: the two-commodity case. Rev. Econ. Stud. 25(2), 124\u2013125 (1958)","journal-title":"Rev. Econ. Stud."},{"key":"5_CR22","volume-title":"The perceptron, a Perceiving and Recognizing Automaton Project Para","author":"F Rosenblatt","year":"1957","unstructured":"Rosenblatt, F.: The perceptron, a Perceiving and Recognizing Automaton Project Para. Cornell Aeronautical Laboratory, Buffalo (1957)"},{"key":"5_CR23","first-page":"62","volume":"5","author":"PA Samuelson","year":"1938","unstructured":"Samuelson, P.A.: A note on the pure theory of consumer\u2019s behavior. Economica 5, 62\u201371 (1938)","journal-title":"Economica"},{"key":"5_CR24","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1093\/acprof:oso\/9780199298839.003.0007","volume-title":"Samuelsonian Economics and the Twenty-First Century","author":"Hal R. Varian","year":"2006","unstructured":"Varian, H.R.: Revealed preference. In: Samuelsonian Economics and the Twenty-First Century, pp. 99\u2013115 (2006)"},{"issue":"6","key":"5_CR25","doi-asserted-by":"publisher","first-page":"1163","DOI":"10.1016\/j.ijindorg.2006.10.002","volume":"25","author":"HR Varian","year":"2007","unstructured":"Varian, H.R.: Position auctions. Int. J. Ind. Organ. 25(6), 1163\u20131178 (2007)","journal-title":"Int. J. Ind. Organ."},{"issue":"560","key":"5_CR26","doi-asserted-by":"publisher","first-page":"332","DOI":"10.1111\/j.1468-0297.2012.02505.x","volume":"122","author":"HR Varian","year":"2012","unstructured":"Varian, H.R.: Revealed preference and its applications. Econ. J. 122(560), 332\u2013338 (2012)","journal-title":"Econ. J."}],"container-title":["Lecture Notes in Computer Science","Web and Internet Economics"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-04612-5_5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,3,7]],"date-time":"2024-03-07T15:33:54Z","timestamp":1709825634000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-030-04612-5_5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018]]},"ISBN":["9783030046118","9783030046125"],"references-count":26,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-04612-5_5","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2018]]},"assertion":[{"value":"21 November 2018","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"WINE","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Web and Internet Economics","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Oxford","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"United Kingdom","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 December 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"17 December 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"14","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"wine2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"https:\/\/www.cs.ox.ac.uk\/conferences\/wine2018\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Single-blind","order":1,"name":"type","label":"Type","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Easy Chiar","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"119","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"28","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"8","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"24% - The value is computed by the equation \"Number of Full Papers Accepted \/ Number of Submissions Sent for Review * 100\" and then rounded to a whole number.","order":6,"name":"acceptance_rate_of_full_papers","label":"Acceptance Rate of Full Papers","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"3","order":7,"name":"average_number_of_reviews_per_paper","label":"Average Number of Reviews per Paper","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"10","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}},{"value":"Yes","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information (provided by the conference organizers)"}}]}}