{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,16]],"date-time":"2026-03-16T16:36:24Z","timestamp":1773678984110,"version":"3.50.1"},"reference-count":32,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2015,11,12]],"date-time":"2015-11-12T00:00:00Z","timestamp":1447286400000},"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":["Finance Stoch"],"published-print":{"date-parts":[[2016,1]]},"DOI":"10.1007\/s00780-015-0283-x","type":"journal-article","created":{"date-parts":[[2015,11,12]],"date-time":"2015-11-12T01:46:49Z","timestamp":1447292809000},"page":"1-50","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":35,"title":["Universal arbitrage aggregator in discrete-time markets under uncertainty"],"prefix":"10.1007","volume":"20","author":[{"given":"Matteo","family":"Burzoni","sequence":"first","affiliation":[]},{"given":"Marco","family":"Frittelli","sequence":"additional","affiliation":[]},{"given":"Marco","family":"Maggis","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,11,12]]},"reference":[{"key":"283_CR1","doi-asserted-by":"crossref","unstructured":"Acciaio, B., Beiglb\u00f6ck, M., Penkner, F., Schachermayer, W.: A model-free version of the fundamental theorem of asset pricing and the super-replication theorem. Math. Finance (2013, forthcoming). Available online: http:\/\/onlinelibrary.wiley.com\/doi\/10.1111\/mafi.12060\/abstract","DOI":"10.1111\/mafi.12060"},{"key":"283_CR2","volume-title":"Infinite Dimensional Analysis","author":"C.D. Aliprantis","year":"2006","unstructured":"Aliprantis, C.D., Border, K.C.: Infinite Dimensional Analysis. Springer, Berlin (2006)"},{"key":"283_CR3","doi-asserted-by":"crossref","first-page":"1219","DOI":"10.1093\/rfs\/12.5.1219","volume":"12","author":"R.J. B\u00e4ttig","year":"1999","unstructured":"B\u00e4ttig, R.J., Jarrow, R.A.: The second fundamental theorem of asset pricing: a\u00a0new approach. Rev. Financ. Stud. 12, 1219\u20131235 (1999)","journal-title":"Rev. Financ. Stud."},{"key":"283_CR4","unstructured":"Biagini, S., Bouchard, B., Kardaras, C., Nutz, M.: Robust fundamental theorem for continuous processes (2014). Available online: http:\/\/onlinelibrary.wiley.com\/doi\/10.12110\/mafi.12060\/abstract"},{"key":"283_CR5","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1214\/11-AAP766","volume":"22","author":"J. Bion-Nadal","year":"2012","unstructured":"Bion-Nadal, J., Kervarec, M.: Risk measuring under model uncertainty. Ann. Appl. Probab. 22, 213\u2013238 (2012)","journal-title":"Ann. Appl. Probab."},{"key":"283_CR6","doi-asserted-by":"crossref","first-page":"823","DOI":"10.1214\/14-AAP1011","volume":"25","author":"B. Bouchard","year":"2015","unstructured":"Bouchard, B., Nutz, M.: Arbitrage and duality in nondominated discrete-time models. Ann. Appl. Probab. 25, 823\u2013859 (2015)","journal-title":"Ann. Appl. Probab."},{"key":"283_CR7","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1111\/1467-9965.00116","volume":"11","author":"H.M. Brown","year":"2001","unstructured":"Brown, H.M., Hobson, D.G., Rogers, L.C.G.: Robust hedging of barrier options. Math. Finance 11, 285\u2013314 (2001)","journal-title":"Math. Finance"},{"key":"283_CR8","unstructured":"Burzoni, M., Frittelli, M., Maggis, M.: Model-free superhedging duality. Preprint (2015). arXiv:1506.06608"},{"key":"283_CR9","doi-asserted-by":"crossref","first-page":"23","DOI":"10.1111\/j.1467-9965.2007.00321.x","volume":"18","author":"G. Cassese","year":"2008","unstructured":"Cassese, G.: Asset pricing with no exogenous probability measure. Math. Finance 18, 23\u201354 (2008)","journal-title":"Math. Finance"},{"key":"283_CR10","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1214\/EJP.v17-2224","volume":"17","author":"S.N. Cohen","year":"2012","unstructured":"Cohen, S.N.: Quasi-sure analysis, aggregation and dual representations of sublinear expectations in general spaces. Electron. J. Probab. 17, 1\u201315 (2012)","journal-title":"Electron. J. Probab."},{"key":"283_CR11","doi-asserted-by":"crossref","first-page":"573","DOI":"10.1007\/s00780-011-0154-z","volume":"15","author":"A.M.G. Cox","year":"2011","unstructured":"Cox, A.M.G., Ob\u0142oj, J.: Robust pricing and hedging of double no-touch options. Finance Stoch. 15, 573\u2013605 (2011)","journal-title":"Finance Stoch."},{"key":"283_CR12","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1080\/17442509008833613","volume":"29","author":"R.C. Dalang","year":"1990","unstructured":"Dalang, R.C., Morton, A., Willinger, W.: Equivalent martingale measures and no-arbitrage in stochastic securities market models. Stoch. Stoch. Rep. 29, 185\u2013201 (1990)","journal-title":"Stoch. Stoch. Rep."},{"key":"283_CR13","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1111\/j.1467-9965.2007.00291.x","volume":"17","author":"M.H.A. Davis","year":"2007","unstructured":"Davis, M.H.A., Hobson, D.G.: The range of traded option prices. Math. Finance 17, 1\u201314 (2007)","journal-title":"Math. Finance"},{"key":"283_CR14","doi-asserted-by":"crossref","first-page":"821","DOI":"10.1111\/mafi.12021","volume":"24","author":"M.H.A. Davis","year":"2014","unstructured":"Davis, M.H.A., Ob\u0142oj, J., Raval, V.: Arbitrage bounds for weighted variance swap prices. Math. Finance 24, 821\u2013854 (2014)","journal-title":"Math. Finance"},{"key":"283_CR15","doi-asserted-by":"crossref","first-page":"463","DOI":"10.1007\/BF01450498","volume":"300","author":"F. Delbaen","year":"1994","unstructured":"Delbaen, F., Schachermayer, W.: A general version of the fundamental theorem of asset pricing. Math. Ann. 300, 463\u2013520 (1994)","journal-title":"Math. Ann."},{"key":"283_CR16","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/s002080050220","volume":"312","author":"F. Delbaen","year":"1998","unstructured":"Delbaen, F., Schachermayer, W.: The fundamental theorem of asset pricing for unbounded stochastic processes. Math. Ann. 312, 215\u2013250 (1998)","journal-title":"Math. Ann."},{"key":"283_CR17","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s11118-010-9185-x","volume":"34","author":"L. Denis","year":"2011","unstructured":"Denis, L., Hu, M., Peng, S.: Function spaces and capacity related to a sublinear expectation: application to G-Brownian motion paths. Potential Anal. 34, 139\u2013161 (2011)","journal-title":"Potential Anal."},{"key":"283_CR18","doi-asserted-by":"crossref","first-page":"827","DOI":"10.1214\/105051606000000169","volume":"16","author":"L. Denis","year":"2006","unstructured":"Denis, L., Martini, C.: A theoretical framework for the pricing of contingent claims in the presence of model uncertainty. Ann. Appl. Probab. 16, 827\u2013852 (2006)","journal-title":"Ann. Appl. Probab."},{"key":"283_CR19","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/s00780-014-0227-x","volume":"18","author":"Y. Dolinsky","year":"2014","unstructured":"Dolinsky, Y., Soner, H.M.: Robust hedging with proportional transaction costs. Finance Stoch. 18, 327\u2013347 (2014)","journal-title":"Finance Stoch."},{"key":"283_CR20","doi-asserted-by":"crossref","first-page":"3996","DOI":"10.1016\/j.jfa.2008.11.015","volume":"256","author":"D. Filipovi\u0107","year":"2009","unstructured":"Filipovi\u0107, D., Kupper, M., Vogelpoth, N.: Separation and duality in locally L 0 $L^{0}$ -convex modules. J.\u00a0Funct. Anal. 256, 3996\u20134029 (2009)","journal-title":"J.\u00a0Funct. Anal."},{"key":"283_CR21","series-title":"de Gruyter Studies in Mathematics","doi-asserted-by":"crossref","DOI":"10.1515\/9783110212075","volume-title":"Stochastic Finance. An Introduction in Discrete Time","author":"H. F\u00f6llmer","year":"2004","unstructured":"F\u00f6llmer, H., Schied, A.: Stochastic Finance. An Introduction in Discrete Time, 2nd edn. de Gruyter Studies in Mathematics, vol.\u00a027 (2004)","edition":"2"},{"key":"283_CR22","doi-asserted-by":"crossref","first-page":"329","DOI":"10.1007\/s007800050044","volume":"2","author":"D.G. Hobson","year":"1998","unstructured":"Hobson, D.G.: Robust hedging of the lookback option. Finance Stoch. 2, 329\u2013347 (1998)","journal-title":"Finance Stoch."},{"key":"283_CR23","series-title":"Lecture Notes in Math.","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1007\/978-3-642-14660-2_4","volume-title":"Paris\u2013Princeton Lectures on Math. Fin. 2010","author":"D.G. Hobson","year":"2011","unstructured":"Hobson, D.G.: The Skorokhod embedding problem and model-independent bounds for option prices. In: Carmona, R.A., et al. (eds.) Paris\u2013Princeton Lectures on Math. Fin. 2010. Lecture Notes in Math., vol.\u00a02003, pp.\u00a0267\u2013318. Springer, Berlin (2011)"},{"key":"283_CR24","series-title":"Lecture Notes in Computer Science","first-page":"168","volume-title":"Modeling Decisions for Artificial Intelligence","author":"Ju. Li","year":"2007","unstructured":"Li, Ju., Yasuda, M., Li, Ji.: A version of Lebesgue decomposition theorem for non-additive measure. In: Torra, V., et al. (eds.) Modeling Decisions for Artificial Intelligence. Lecture Notes in Computer Science, vol.\u00a04617, pp.\u00a0168\u2013173 (2007)"},{"key":"283_CR25","series-title":"Studies in Probability, Optimization and Statistics","first-page":"144","volume-title":"Real Options, Ambiguity, Risk and Insurance","author":"S. Peng","year":"2013","unstructured":"Peng, S.: Nonlinear expectations and stochastic calculus under Knightian uncertainty. In: Bensoussan, A., et al. (eds.) Real Options, Ambiguity, Risk and Insurance. Studies in Probability, Optimization and Statistics, vol.\u00a05, pp.\u00a0144\u2013184 (2013)"},{"key":"283_CR26","volume-title":"Introduction to Mathematical Finance: Discrete Time Models","author":"S. Pliska","year":"1997","unstructured":"Pliska, S.: Introduction to Mathematical Finance: Discrete Time Models. Wiley, New York (1997)"},{"key":"283_CR27","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-02431-3","volume-title":"Variational Analysis","author":"T. Rockafellar","year":"1998","unstructured":"Rockafellar, T., Wets, R.: Variational Analysis. Springer, Berlin (1998)"},{"key":"283_CR28","unstructured":"Rokhlin, D.: A proof of the Dalang\u2013Morton\u2013Willinger theorem (2008). Available online: http:\/\/arxiv.org\/abs\/0804.3308"},{"key":"283_CR29","doi-asserted-by":"crossref","first-page":"75","DOI":"10.1007\/s10203-014-0159-0","volume":"38","author":"F. Riedel","year":"2015","unstructured":"Riedel, F.: Financial economics without probabilistic prior assumptions. Decis. Econ. Finance 38, 75\u201391 (2015)","journal-title":"Decis. Econ. Finance"},{"key":"283_CR30","doi-asserted-by":"crossref","first-page":"265","DOI":"10.1016\/j.spa.2010.10.006","volume":"121","author":"H.M. Soner","year":"2011","unstructured":"Soner, H.M., Touzi, N., Zhang, J.: Martingale representation theorem for the G-expectation. Stoch. Process. Appl. 121, 265\u2013287 (2011)","journal-title":"Stoch. Process. Appl."},{"key":"283_CR31","doi-asserted-by":"crossref","first-page":"1844","DOI":"10.1214\/EJP.v16-950","volume":"16","author":"H.M. Soner","year":"2011","unstructured":"Soner, H.M., Touzi, N., Zhang, J.: Quasi-sure stochastic analysis through aggregation. Electron. J. Probab. 16, 1844\u20131879 (2011)","journal-title":"Electron. J. Probab."},{"key":"283_CR32","volume-title":"Multidimensional Diffusion Processes","author":"D.W. Stroock","year":"2006","unstructured":"Stroock, D.W., Varadhan, S.R.S.: Multidimensional Diffusion Processes. Springer, Berlin (2006)"}],"container-title":["Finance and Stochastics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00780-015-0283-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00780-015-0283-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00780-015-0283-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:30:46Z","timestamp":1559097046000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00780-015-0283-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,11,12]]},"references-count":32,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2016,1]]}},"alternative-id":["283"],"URL":"https:\/\/doi.org\/10.1007\/s00780-015-0283-x","relation":{},"ISSN":["0949-2984","1432-1122"],"issn-type":[{"value":"0949-2984","type":"print"},{"value":"1432-1122","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,11,12]]}}}