{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T06:22:45Z","timestamp":1743056565250,"version":"3.40.3"},"publisher-location":"Cham","reference-count":19,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783030169886"},{"type":"electronic","value":"9783030169893"}],"license":[{"start":{"date-parts":[[2019,1,1]],"date-time":"2019-01-01T00:00:00Z","timestamp":1546300800000},"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":[[2019]]},"DOI":"10.1007\/978-3-030-16989-3_8","type":"book-chapter","created":{"date-parts":[[2019,4,9]],"date-time":"2019-04-09T19:44:24Z","timestamp":1554839064000},"page":"109-116","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":4,"title":["Normalized Equilibrium in Tullock Rent Seeking Game"],"prefix":"10.1007","author":[{"given":"Eitan","family":"Altman","sequence":"first","affiliation":[]},{"given":"Mandar","family":"Datar","sequence":"additional","affiliation":[]},{"given":"Gerard","family":"Burnside","sequence":"additional","affiliation":[]},{"given":"Corinne","family":"Touati","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2019,4,2]]},"reference":[{"issue":"2","key":"8_CR1","doi-asserted-by":"publisher","first-page":"213","DOI":"10.1007\/s13226-016-0185-4","volume":"47","author":"E Altman","year":"2016","unstructured":"Altman, E., Hanawal, M.K., Sundaresan, R.: Generalising diagonal strict concavity property for uniqueness of Nash equilibrium. Indian J. Pure Appl. Math. 47(2), 213\u2013228 (2016). \n                    https:\/\/doi.org\/10.1007\/s13226-016-0185-4\n                    \n                  . hal\u201301340963","journal-title":"Indian J. Pure Appl. Math."},{"key":"8_CR2","unstructured":"Altman, E., Reiffers-Masson, A., Menasch\u00e9, D.S., Datar, M., Dhamal, S., Touati, C.: Mining competition in a multi-cryptocurrency ecosystem at the network edge: a congestion game approach. In: 1st Symposium on Cryptocurrency Analysis, SOCCA 2018, Toulouse, France, December 2018, pp. 1\u20134 (2018)"},{"issue":"10","key":"8_CR3","doi-asserted-by":"publisher","first-page":"2435","DOI":"10.1109\/TAC.2009.2029302","volume":"54","author":"E Altman","year":"2009","unstructured":"Altman, E., Solan, E.: Constrained games: the impact of the attitude to adversary\u2019s constraints. IEEE Trans. Autom. Control 54(10), 2435\u20132440 (2009). \n                    https:\/\/doi.org\/10.1109\/TAC.2009.2029302","journal-title":"IEEE Trans. Autom. Control"},{"key":"8_CR4","doi-asserted-by":"crossref","unstructured":"Altman, E., Shwartz, A.: Constrained Markov games: nash equilibria. In: Filar, J.A., Gaitsgory, V., Mizukami, K. (eds.) Advances in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol. 5. Birkhauser, Boston (2000)","DOI":"10.1007\/978-1-4612-1336-9_11"},{"key":"8_CR5","doi-asserted-by":"publisher","first-page":"160","DOI":"10.1016\/j.orl.2007.05.010","volume":"36","author":"E Altman","year":"2008","unstructured":"Altman, E., Avrachenkov, K., Bonneau, N., Debbah, M., El-Azouzi, R., Menasche, D.S.: Constrained cost-coupled stochastic games with independent state processes. Oper. Res. Lett. 36, 160\u2013164 (2008)","journal-title":"Oper. Res. Lett."},{"key":"8_CR6","doi-asserted-by":"publisher","first-page":"886","DOI":"10.1073\/pnas.38.10.886","volume":"38","author":"G Debreu","year":"1952","unstructured":"Debreu, G.: A social equilibrium existence theorem. Proc. National Acad. Sci. U.S.A. 38, 886\u2013893 (1952)","journal-title":"Proc. National Acad. Sci. U.S.A."},{"key":"8_CR7","doi-asserted-by":"publisher","first-page":"1656","DOI":"10.1109\/TAC.2003.817011","volume":"48","author":"R El-Azouzi","year":"2003","unstructured":"El-Azouzi, R., Altman, E.: Constrained traffic equilibrium in routing. IEEE Trans. Autom. Control 48, 1656\u20131660 (2003)","journal-title":"IEEE Trans. Autom. Control"},{"key":"8_CR8","doi-asserted-by":"publisher","first-page":"1833","DOI":"10.1016\/S0165-1889(02)00085-4","volume":"27","author":"E Gomez-Ram\u0131rez","year":"2003","unstructured":"Gomez-Ram\u0131rez, E., Najim, K., Poznyak, A.S.: Saddle-point calculation for constrained finite Markov chains. J. Econ. Dyn. Control 27, 1833\u20131853 (2003)","journal-title":"J. Econ. Dyn. Control"},{"key":"8_CR9","doi-asserted-by":"publisher","first-page":"181","DOI":"10.1016\/0166-5316(91)90054-7","volume":"13","author":"MT Hsiao","year":"1991","unstructured":"Hsiao, M.T., Lazar, A.A.: Optimal decentralized flow control of Markovian queueing networks with multiple controllers. Perform. Eval. 13, 181\u2013204 (1991)","journal-title":"Perform. Eval."},{"key":"8_CR10","first-page":"148","volume-title":"Linear Programming and Finite Markovian Control Problems","author":"LCM Kallenberg","year":"1983","unstructured":"Kallenberg, L.C.M.: Linear Programming and Finite Markovian Control Problems, p. 148. Mathematical Centre Tracts, Amsterdam (1983)"},{"issue":"3","key":"8_CR11","first-page":"291","volume":"64","author":"A Krueger","year":"1974","unstructured":"Krueger, A.: The political economy of the rent-seeking society. Am. Econ. Rev. 64(3), 291\u2013303 (1974). JSTOR 1808883","journal-title":"Am. Econ. Rev."},{"key":"8_CR12","doi-asserted-by":"crossref","unstructured":"Larsson, T., Patriksson, M.: Side constrained traffic equilibrium models - traffic management through link tolls. In: Marcotte, P., Nguyen, S. (eds.) Equilibrium and Advanced Transportation Modelling, pp. 125\u2013151. Kluwer Academic Publishers (1998)","DOI":"10.1007\/978-1-4615-5757-9_7"},{"issue":"5","key":"8_CR13","doi-asserted-by":"publisher","first-page":"510","DOI":"10.1109\/90.251910","volume":"1","author":"A Orda","year":"1993","unstructured":"Orda, A., Rom, R., Shimkin, N.: Competitive routing in multi-user communication networks. IEEE\/ACM Trans. Netw. 1(5), 510\u2013521 (1993)","journal-title":"IEEE\/ACM Trans. Netw."},{"issue":"2","key":"8_CR14","doi-asserted-by":"publisher","first-page":"226","DOI":"10.1016\/j.automatica.2006.08.027","volume":"43","author":"L Pavel","year":"2007","unstructured":"Pavel, L.: An extension of duality to a game-theoretic framework. Automatica 43(2), 226\u2013237 (2007)","journal-title":"Automatica"},{"key":"8_CR15","doi-asserted-by":"publisher","first-page":"520","DOI":"10.2307\/1911749","volume":"33","author":"J Rosen","year":"1965","unstructured":"Rosen, J.: Existence and uniqueness of equilibrium points for concave N-person games. Econometrica 33, 520\u2013534 (1965)","journal-title":"Econometrica"},{"key":"8_CR16","doi-asserted-by":"crossref","unstructured":"Shimkin, N.: Stochastic games with average cost constraints. In: Annals of the International Society of Dynamic Games, vol. 1. Birkhauser, Boston (1994)","DOI":"10.1007\/978-1-4612-0245-5_12"},{"key":"8_CR17","doi-asserted-by":"publisher","unstructured":"Reiffers-Masson, A., Hayel, Y., Altman, E.: Game theory approach for modeling competition over visibility on social networks. In: 2014 6th International Conference on Communication Systems and Networks, COMSNETS 2014, pp. 1\u20136 (2014). \n                    https:\/\/doi.org\/10.1109\/COMSNETS.2014.6734939","DOI":"10.1109\/COMSNETS.2014.6734939"},{"key":"8_CR18","unstructured":"Jensen, M.K.: Existence, uniqueness and comparative statics in contests. University of Leicester, Working Paper No. 15\/16, July 2015"},{"issue":"1","key":"8_CR19","doi-asserted-by":"publisher","first-page":"135","DOI":"10.1006\/game.1997.0517","volume":"18","author":"F Szidarovszky","year":"1997","unstructured":"Szidarovszky, F., Okuguchi, K.: On the existence and uniqueness of pure nash equilibrium in rent-seeking games. Games Econ. Behav. 18(1), 135\u2013140 (1997)","journal-title":"Games Econ. Behav."}],"container-title":["Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering","Game Theory for Networks"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-030-16989-3_8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,21]],"date-time":"2019-05-21T01:41:15Z","timestamp":1558402875000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-030-16989-3_8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019]]},"ISBN":["9783030169886","9783030169893"],"references-count":19,"URL":"https:\/\/doi.org\/10.1007\/978-3-030-16989-3_8","relation":{},"ISSN":["1867-8211","1867-822X"],"issn-type":[{"type":"print","value":"1867-8211"},{"type":"electronic","value":"1867-822X"}],"subject":[],"published":{"date-parts":[[2019]]},"assertion":[{"value":"2 April 2019","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"GameNets","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Conference on Game Theory for Networks","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Paris","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"France","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2019","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"25 April 2019","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"26 April 2019","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"8","order":9,"name":"conference_number","label":"Conference Number","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"gamenets2019","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/gamenets.org\/","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"}},{"value":"Confy","order":2,"name":"conference_management_system","label":"Conference Management System","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"17","order":3,"name":"number_of_submissions_sent_for_review","label":"Number of Submissions Sent for Review","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"8","order":4,"name":"number_of_full_papers_accepted","label":"Number of Full Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"3","order":5,"name":"number_of_short_papers_accepted","label":"Number of Short Papers Accepted","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"47% - 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"}},{"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"}},{"value":"3","order":8,"name":"average_number_of_papers_per_reviewer","label":"Average Number of Papers per Reviewer","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}},{"value":"No","order":9,"name":"external_reviewers_involved","label":"External Reviewers Involved","group":{"name":"ConfEventPeerReviewInformation","label":"Peer Review Information"}}]}}