{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,31]],"date-time":"2026-01-31T01:10:36Z","timestamp":1769821836969,"version":"3.49.0"},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T00:00:00Z","timestamp":1627084800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T00:00:00Z","timestamp":1627084800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/100014440","name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","doi-asserted-by":"publisher","award":["ECO2014-52343-P"],"award-info":[{"award-number":["ECO2014-52343-P"]}],"id":[{"id":"10.13039\/100014440","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/100014440","name":"Ministerio de Ciencia, Innovaci\u00f3n y Universidades","doi-asserted-by":"publisher","award":["ECO2017-82227-P"],"award-info":[{"award-number":["ECO2017-82227-P"]}],"id":[{"id":"10.13039\/100014440","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008431","name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","doi-asserted-by":"publisher","award":["VA024P17"],"award-info":[{"award-number":["VA024P17"]}],"id":[{"id":"10.13039\/501100008431","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100008431","name":"Consejer\u00eda de Educaci\u00f3n, Junta de Castilla y Le\u00f3n","doi-asserted-by":"crossref","award":["VA105G18"],"award-info":[{"award-number":["VA105G18"]}],"id":[{"id":"10.13039\/501100008431","id-type":"DOI","asserted-by":"crossref"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-16-CE03-0005"],"award-info":[{"award-number":["ANR-16-CE03-0005"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001665","name":"Agence Nationale de la Recherche","doi-asserted-by":"publisher","award":["ANR-10-LABX-11-01"],"award-info":[{"award-number":["ANR-10-LABX-11-01"]}],"id":[{"id":"10.13039\/501100001665","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Dyn Games Appl"],"published-print":{"date-parts":[[2022,9]]},"DOI":"10.1007\/s13235-021-00395-y","type":"journal-article","created":{"date-parts":[[2021,7,24]],"date-time":"2021-07-24T15:02:50Z","timestamp":1627138970000},"page":"844-871","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Cooperation in a Dynamic Setting with Asymmetric Environmental Valuation and Responsibility"],"prefix":"10.1007","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-2958-9595","authenticated-orcid":false,"given":"Francisco","family":"Cabo","sequence":"first","affiliation":[]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5576-0977","authenticated-orcid":false,"given":"Mabel","family":"Tidball","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2021,7,24]]},"reference":[{"key":"395_CR1","doi-asserted-by":"publisher","first-page":"259","DOI":"10.2307\/2297967","volume":"58","author":"AR Admati","year":"1991","unstructured":"Admati AR, Perry M (1991) Joint projects without commitment. Rev Econ Stud 58:259\u2013276","journal-title":"Rev Econ Stud"},{"key":"395_CR2","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1016\/j.jeem.2012.12.004","volume":"66","author":"S Barrett","year":"2013","unstructured":"Barrett S (2013) Climate treaties and approaching catastrophes. J Environ Econ 66:235\u2013250. https:\/\/doi.org\/10.1016\/j.jeem.2012.12.004","journal-title":"J Environ Econ"},{"key":"395_CR3","doi-asserted-by":"publisher","first-page":"157","DOI":"10.1007\/s11127-007-9184-7","volume":"133","author":"W Buchholz","year":"2007","unstructured":"Buchholz W, Peters W (2007) Justifying the Lindahl solution as an outcome of fair cooperation. Pub Choice 133:157\u2013169. https:\/\/doi.org\/10.1007\/s11127-007-9184-7","journal-title":"Pub Choice"},{"key":"395_CR4","doi-asserted-by":"publisher","first-page":"56","DOI":"10.1016\/j.reseneeco.2016.12.001","volume":"47","author":"F Cabo","year":"2017","unstructured":"Cabo F, Tidball M (2017) Promotion of cooperation when benefits come in the future: a water transfer case. Resour Energy Econ 47:56\u201371. https:\/\/doi.org\/10.1016\/j.reseneeco.2016.12.001","journal-title":"Resour Energy Econ"},{"key":"395_CR5","doi-asserted-by":"publisher","first-page":"369","DOI":"10.1142\/S0219198906000977","volume":"8","author":"F Cabo","year":"2006","unstructured":"Cabo F, Escudero E, Mart\u00edn-Herr\u00e1n G (2006) A time-consistent agreement in an interregional differential game on pollution and trade. Int Game Theory Rev 8:369\u2013393. https:\/\/doi.org\/10.1142\/S0219198906000977","journal-title":"Int Game Theory Rev"},{"key":"395_CR6","doi-asserted-by":"publisher","first-page":"758","DOI":"10.1111\/j.1467-9442.2011.01675.x","volume":"113","author":"EB De Villemeur","year":"2011","unstructured":"De Villemeur EB, Leroux J (2011) Sharing the cost of global warming. Scand J Econ 113:758\u201383","journal-title":"Scand J Econ"},{"key":"395_CR7","doi-asserted-by":"publisher","first-page":"935","DOI":"10.1016\/j.jedc.2010.11.008","volume":"35","author":"PS Fanokoa","year":"2011","unstructured":"Fanokoa PS, Telahigue I, Zaccour G (2011) Buying cooperation in an asymmetric environmental differential game. J Econ Dyn Control 35:935\u2013946. https:\/\/doi.org\/10.1016\/j.jedc.2010.11.008","journal-title":"J Econ Dyn Control"},{"key":"395_CR8","doi-asserted-by":"publisher","first-page":"1057","DOI":"10.1016\/0014-2921(91)90004-3","volume":"35","author":"C Fershtman","year":"1991","unstructured":"Fershtman C, Nitzan S (1991) Dynamic voluntary provision of public goods. Europ Econ Rev 35:1057\u20131067","journal-title":"Europ Econ Rev"},{"key":"395_CR9","first-page":"251","volume":"68","author":"J Guttman","year":"1978","unstructured":"Guttman J (1978) Understanding collective action: matching behavior. Amer Econ Rev Assoc Papers Proc 68:251\u2013255","journal-title":"Amer Econ Rev Assoc Papers Proc"},{"key":"395_CR10","doi-asserted-by":"publisher","first-page":"1","DOI":"10.2307\/2554340","volume":"54","author":"J Guttman","year":"1987","unstructured":"Guttman J (1987) A non-Cournot model of voluntary collective action. Economica 54:1\u201319","journal-title":"Economica"},{"key":"395_CR11","doi-asserted-by":"publisher","first-page":"96","DOI":"10.1111\/misp.12049","volume":"40","author":"M Hayner","year":"2016","unstructured":"Hayner M, Weisbach D (2016) Two theories of responsibility for past emissions. Midwest Stud Philos 40:96\u2013113. https:\/\/doi.org\/10.1111\/misp.12049","journal-title":"Midwest Stud Philos"},{"key":"395_CR12","doi-asserted-by":"publisher","first-page":"1973","DOI":"10.1016\/S0165-1889(00)00013-0","volume":"25","author":"S J\u00f8rgensen","year":"2001","unstructured":"J\u00f8rgensen S, Zaccour G (2001) Time consistent side payments in a dynamic game of downstream pollution. J Econ Dyn Control 25:1973\u20131987. https:\/\/doi.org\/10.1016\/S0165-1889(00)00013-0","journal-title":"J Econ Dyn Control"},{"key":"395_CR13","doi-asserted-by":"publisher","first-page":"49","DOI":"10.1023\/B:JOTA.0000005040.78280.a6","volume":"119","author":"S J\u00f8rgensen","year":"2003","unstructured":"J\u00f8rgensen S, Mart\u00edn-Herr\u00e1n G, Zaccour G (2003) Agreeability and time-consistency in linear-state differential games. J Optimiz Theory App 119:49\u201363","journal-title":"J Optimiz Theory App"},{"key":"395_CR14","doi-asserted-by":"publisher","first-page":"395","DOI":"10.1142\/S0219198905000600","volume":"7","author":"S J\u00f8rgensen","year":"2005","unstructured":"J\u00f8rgensen S, Mart\u00edn-Herr\u00e1n G, Zaccour G (2005) Sustainability of cooperation overtime in linear-quadratic differential games. Int Game Theory Rev 7:395\u2013406","journal-title":"Int Game Theory Rev"},{"key":"395_CR15","doi-asserted-by":"publisher","first-page":"421","DOI":"10.2307\/2526848","volume":"31","author":"V Kaitala","year":"1990","unstructured":"Kaitala V, Pohjola M (1990) Economic development and agreeable redistribution in capitalism: efficient game equilibria in a two-class neoclassical growth model. Int Econ Rev 31:421\u2013437","journal-title":"Int Econ Rev"},{"key":"395_CR16","unstructured":"Petrosyan LA (1979) Danilov NN (1979) Stable solutions in Differential Games with transferable payoffs (in Russian). Viestnik of the Leningrad State University. N1:52\u201359"},{"key":"395_CR17","doi-asserted-by":"publisher","DOI":"10.1142\/1670","volume-title":"Differential Games of Pursuit","author":"LA Petrosyan","year":"1993","unstructured":"Petrosyan LA (1993) Differential Games of Pursuit. World Scientific, Singapour"},{"key":"395_CR18","doi-asserted-by":"publisher","first-page":"381","DOI":"10.1016\/S0165-1889(01)00053-7","volume":"27","author":"LA Petrosyan","year":"2003","unstructured":"Petrosyan LA, Zaccour G (2003) Time-consistent Shapley value allocation of pollution cost reduction. J Econ Dyn Control 27:381\u2013398. https:\/\/doi.org\/10.1016\/S0165-1889(01)00053-7","journal-title":"J Econ Dyn Control"},{"key":"395_CR19","volume-title":"The Economics of Welfare","author":"AC Pigou","year":"1920","unstructured":"Pigou AC (1920) The Economics of Welfare. Macmillan, London"},{"key":"395_CR20","volume-title":"One world: the ethics of globalization","author":"P Singer","year":"2004","unstructured":"Singer P (2004) One world: the ethics of globalization. Yale University Press, New Haven, CT"},{"key":"395_CR21","doi-asserted-by":"publisher","first-page":"2637","DOI":"10.1016\/j.jedc.2005.08.005","volume":"30","author":"G Sorger","year":"2006","unstructured":"Sorger G (2006) Recursive bargaining over a productive asset. J Econ Dyn Control 30:2637\u20132659. https:\/\/doi.org\/10.1016\/j.jedc.2005.08.005","journal-title":"J Econ Dyn Control"},{"key":"395_CR22","doi-asserted-by":"publisher","first-page":"074008","DOI":"10.1088\/1748-9326\/9\/7\/074008","volume":"9","author":"DS Ward","year":"2014","unstructured":"Ward DS, Mahowald NM (2014) Contributions of developed and developing countries to global climate forcing and surface temperature change. Environ Res Lett 9:074008. https:\/\/doi.org\/10.1088\/1748-9326\/9\/7\/074008","journal-title":"Environ Res Lett"},{"key":"395_CR23","doi-asserted-by":"publisher","first-page":"632","DOI":"10.1007\/s00376-015-5141-4","volume":"33","author":"T Wei","year":"2016","unstructured":"Wei T, Dong W, Yan Q, Chou J, Yang Z, Tian T (2016) Developed and developing world contributions to climate system change based on carbon dioxide, methane and nitrous oxide emissions. Adv Atmos Sci 33:632\u2013643. https:\/\/doi.org\/10.1007\/s00376-015-5141-4","journal-title":"Adv Atmos Sci"},{"key":"395_CR24","volume-title":"Dynamic shapley value and dynamic nash bargaining","author":"DW Yeung","year":"2018","unstructured":"Yeung DW, Petrosyan L (2018) Dynamic shapley value and dynamic nash bargaining. Nova Science, NewYork"},{"key":"395_CR25","doi-asserted-by":"crossref","unstructured":"Wicksell K (1896\/1958) Ein neues Prinzip der gerechten Besteuerung. Finanztheoretische Untersuchungen. Jena: Gustav Fischer; partially translated as: a new principle of just taxation. In: Musgrave RA, Peacock AT (eds) Classics in the theory of public finance. St. Martin\u2019s Press, New York, pp 72-118","DOI":"10.1007\/978-1-349-23426-4_6"},{"key":"395_CR26","doi-asserted-by":"publisher","first-page":"555","DOI":"10.1016\/S0176-2680(96)00016-X","volume":"12","author":"F Wirl","year":"1996","unstructured":"Wirl F (1996) Dynamic voluntary provision of public goods: extension to nonlinear strategies. Eur J Political Econ 12:555\u2013560. https:\/\/doi.org\/10.1016\/S0176-2680(96)00016-X","journal-title":"Eur J Political Econ"},{"key":"395_CR27","doi-asserted-by":"publisher","first-page":"81","DOI":"10.3138\/infor.46.1.81","volume":"46","author":"G Zaccour","year":"2008","unstructured":"Zaccour G (2008) Time consistency in cooperative differential games: a tutorial. INFOR 46:81\u201392. https:\/\/doi.org\/10.3138\/infor.46.1.81","journal-title":"INFOR"},{"key":"395_CR28","doi-asserted-by":"publisher","first-page":"387","DOI":"10.1007\/s11442-008-0387-8","volume":"18","author":"ZQ Zhang","year":"2008","unstructured":"Zhang ZQ, Qu JS, Zeng JJ (2008) A quantitative comparison and analytical study on the assessment indicators of greenhouse gases emissions. J Geogr Sci 18:387\u2013399","journal-title":"J Geogr Sci"}],"container-title":["Dynamic Games and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-021-00395-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s13235-021-00395-y\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s13235-021-00395-y.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,7,29]],"date-time":"2022-07-29T10:42:06Z","timestamp":1659091326000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s13235-021-00395-y"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2021,7,24]]},"references-count":28,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2022,9]]}},"alternative-id":["395"],"URL":"https:\/\/doi.org\/10.1007\/s13235-021-00395-y","relation":{},"ISSN":["2153-0785","2153-0793"],"issn-type":[{"value":"2153-0785","type":"print"},{"value":"2153-0793","type":"electronic"}],"subject":[],"published":{"date-parts":[[2021,7,24]]},"assertion":[{"value":"30 June 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"24 July 2021","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors have no conflicts of interest to declare that are relevant to the content of this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of interest"}}]}}