{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,4,29]],"date-time":"2025-04-29T20:05:08Z","timestamp":1745957108636},"reference-count":28,"publisher":"Springer Science and Business Media LLC","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int J Game Theory"],"published-print":{"date-parts":[[2012,11]]},"DOI":"10.1007\/s00182-010-0246-6","type":"journal-article","created":{"date-parts":[[2010,6,30]],"date-time":"2010-06-30T21:03:43Z","timestamp":1277931823000},"page":"851-884","source":"Crossref","is-referenced-by-count":19,"title":["WPO, COV and IIA bargaining solutions for non-convex bargaining problems"],"prefix":"10.1007","volume":"41","author":[{"given":"Hans","family":"Peters","sequence":"first","affiliation":[]},{"given":"Dries","family":"Vermeulen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2010,7,1]]},"reference":[{"key":"246_CR1","volume-title":"Convergence of probability measures. Wiley series in probability and mathematical statistics","author":"P Billingsley","year":"1968","unstructured":"Billingsley P (1968) Convergence of probability measures. Wiley series in probability and mathematical statistics, John Wiley & Sons, New York"},{"key":"246_CR2","volume-title":"Lattice theory","author":"G Birkhoff","year":"1948","unstructured":"Birkhoff G (1948) Lattice theory. American Mathematical Society Publications, American Mathematical Society, New York"},{"key":"246_CR3","doi-asserted-by":"crossref","first-page":"26","DOI":"10.1006\/game.1996.0023","volume":"13","author":"J Conley","year":"1996","unstructured":"Conley J, Wilkie S (1996) An extension of the Nash bargaining solution to nonconvex problems. Games Econ Behav 13: 26\u201338","journal-title":"Games Econ Behav"},{"key":"246_CR4","volume-title":"Social goals and social organizations","author":"C d\u2019Aspremont","year":"1985","unstructured":"d\u2019Aspremont C (1985) Axioms for social welfare orderings. In: Hurwicz L, Schmeidler D, Sonnenschein H (eds) Social goals and social organizations. North-Holland, Amsterdam"},{"key":"246_CR5","doi-asserted-by":"crossref","first-page":"285","DOI":"10.2307\/2525513","volume":"5","author":"G Debreu","year":"1964","unstructured":"Debreu G (1964) Continuity properties of Paretian utility. Int Econ Rev 5: 285\u2013293","journal-title":"Int Econ Rev"},{"key":"246_CR6","doi-asserted-by":"crossref","first-page":"351","DOI":"10.1023\/A:1005278100070","volume":"48","author":"V Denicol\u00f2","year":"2000","unstructured":"Denicol\u00f2 V, Mariotti M (2000) Nash bargaining theory, nonconvex problems and social welfare orderings. Theory Decis 48: 351\u2013358","journal-title":"Theory Decis"},{"key":"246_CR7","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1007\/BF00139351","volume":"3","author":"PC Fishburn","year":"1972","unstructured":"Fishburn PC (1972) Even-chance lotteries in social choice theory. Theory Decis 3: 18\u201340","journal-title":"Theory Decis"},{"key":"246_CR8","doi-asserted-by":"crossref","first-page":"459","DOI":"10.1007\/BF01457624","volume":"60","author":"G Hamel","year":"1905","unstructured":"Hamel G (1905) Eine Basis aller Zahlen und die unstetige L\u00f6sung der Funktionalgleichung f(x + y) = f(x) + f(y). Math Ann 60: 459\u2013462","journal-title":"Math Ann"},{"key":"246_CR9","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1287\/mnsc.18.5.80","volume":"18","author":"JC Harsanyi","year":"1972","unstructured":"Harsanyi JC, Selten R (1972) A generalized Nash solution for two-person bargaining games with incomplete information. Manag Sci 18: 80\u2013106","journal-title":"Manag Sci"},{"key":"246_CR10","doi-asserted-by":"crossref","first-page":"266","DOI":"10.1016\/0022-0531(89)90081-1","volume":"49","author":"MJ Herrero","year":"1989","unstructured":"Herrero MJ (1989) The Nash program: non-convex bargaining problems. J Econ Theory 49: 266\u2013277","journal-title":"J Econ Theory"},{"key":"246_CR11","doi-asserted-by":"crossref","first-page":"263","DOI":"10.2307\/1914185","volume":"47","author":"D Kahneman","year":"1979","unstructured":"Kahneman D, Tversky A (1979) Prospect theory: an analysis of decision under risk. Econometrica 47: 263\u2013291","journal-title":"Econometrica"},{"key":"246_CR12","doi-asserted-by":"crossref","first-page":"135","DOI":"10.1007\/BF00154358","volume":"12","author":"M Kaneko","year":"1980","unstructured":"Kaneko M (1980) An extension of the Nash bargaining problem and the Nash social welfare function. Theory Decis 12: 135\u2013148","journal-title":"Theory Decis"},{"key":"246_CR13","doi-asserted-by":"crossref","first-page":"423","DOI":"10.2307\/1914191","volume":"47","author":"M Kaneko","year":"1979","unstructured":"Kaneko M, Nakamura K (1979) The Nash social welfare function. Econometrica 47: 423\u2013435","journal-title":"Econometrica"},{"key":"246_CR14","doi-asserted-by":"crossref","first-page":"277","DOI":"10.2307\/1912631","volume":"50","author":"MJ Machina","year":"1982","unstructured":"Machina MJ (1982) \u201cExpected utility\u201d analysis without the independence axiom. Econometrica 50: 277\u2013323","journal-title":"Econometrica"},{"key":"246_CR15","doi-asserted-by":"crossref","first-page":"449","DOI":"10.2307\/2695803","volume":"108","author":"VW Marek","year":"2001","unstructured":"Marek VW, Mycielski J (2001) Foundations of mathematics in the twentieth century. Am Math Month 108: 449\u2013468","journal-title":"Am Math Month"},{"key":"246_CR16","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1007\/s003550050114","volume":"15","author":"M Mariotti","year":"1998","unstructured":"Mariotti M (1998a) Nash bargaining theory when the number of alternatives can be finite. Soc Choice Welf 15: 413\u2013421","journal-title":"Soc Choice Welf"},{"key":"246_CR17","doi-asserted-by":"crossref","first-page":"377","DOI":"10.1006\/game.1997.0590","volume":"22","author":"M Mariotti","year":"1998","unstructured":"Mariotti M (1998b) Extending Nash\u2019s axioms to nonconvex problems. Games Econ Behav 22: 377\u2013383","journal-title":"Games Econ Behav"},{"key":"246_CR18","doi-asserted-by":"crossref","first-page":"321","DOI":"10.1017\/CBO9780511528446.021","volume-title":"The shapley value: essays in honor of Lloyd S. Shapley","author":"M Maschler","year":"1988","unstructured":"Maschler M, Owen G, Peleg B (1988) Paths leading to the Nash set. In: Roth AE (eds) The shapley value: essays in honor of Lloyd S. Shapley. Cambridge University Press, Cambridge UK , pp 321\u2013330"},{"key":"246_CR19","doi-asserted-by":"crossref","first-page":"67","DOI":"10.4064\/fm-54-1-67-71","volume":"54","author":"J Mycielski","year":"1964","unstructured":"Mycielski J, Swierczkowski S (1964) On the Lebesgue measurability and the Axiom of Determinateness. Fundam Math 54: 67\u201371","journal-title":"Fundam Math"},{"key":"246_CR20","doi-asserted-by":"crossref","first-page":"155","DOI":"10.2307\/1907266","volume":"18","author":"JF Nash","year":"1950","unstructured":"Nash JF (1950) The bargaining problem. Econometrica 18: 155\u2013162","journal-title":"Econometrica"},{"key":"246_CR21","doi-asserted-by":"crossref","first-page":"203","DOI":"10.1016\/S0165-4896(01)00070-1","volume":"42","author":"N Naumova","year":"2001","unstructured":"Naumova N, Yanovskaya E (2001) Nash social welfare orderings. Math Soc Sci 42: 203\u2013231","journal-title":"Math Soc Sci"},{"key":"246_CR22","unstructured":"Podnieks K (2007) http:\/\/www.ltn.lv\/~podnieks\/gt.html"},{"key":"246_CR23","doi-asserted-by":"crossref","first-page":"64","DOI":"10.1287\/moor.2.1.64","volume":"2","author":"AE Roth","year":"1977","unstructured":"Roth AE (1977) Individual rationality and Nash\u2019s solution to the bargaining problem. Math Oper Res 2: 64\u201365","journal-title":"Math Oper Res"},{"key":"246_CR24","volume-title":"Game theory in the social sciences: concepts and solutions","author":"M Shubik","year":"1982","unstructured":"Shubik M (1982) Game theory in the social sciences: concepts and solutions. MIT Press, Cambridge"},{"key":"246_CR25","doi-asserted-by":"crossref","first-page":"332","DOI":"10.1257\/jel.38.2.332","volume":"38","author":"C Starmer","year":"2000","unstructured":"Starmer C (2000) Developments in non-expected utility theory: the hunt for a descriptive theory of choice under risk. J Econ Lit 38: 332\u2013382","journal-title":"J Econ Lit"},{"key":"246_CR26","doi-asserted-by":"crossref","first-page":"86","DOI":"10.1016\/j.geb.2005.09.003","volume":"57","author":"Y Xu","year":"2006","unstructured":"Xu Y, Yoshihara N (2006) Alternative characterizations of three bargaining solutions for nonconvex bargaining problems. Games Econ Behav 57: 86\u201392","journal-title":"Games Econ Behav"},{"key":"246_CR27","first-page":"187","volume":"2","author":"WR Zame","year":"2007","unstructured":"Zame WR (2007) Can intergenerational equity be operationalized. Theor Econ 2: 187\u2013202","journal-title":"Theor Econ"},{"key":"246_CR28","doi-asserted-by":"crossref","first-page":"681","DOI":"10.2307\/2171759","volume":"65","author":"L Zhou","year":"1996","unstructured":"Zhou L (1996) The Nash bargaining theory with non-convex problems. Econometrica 65: 681\u2013685","journal-title":"Econometrica"}],"container-title":["International Journal of Game Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/www.springerlink.com\/index\/pdf\/10.1007\/s00182-010-0246-6","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,30]],"date-time":"2019-05-30T16:21:58Z","timestamp":1559233318000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00182-010-0246-6"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2010,7,1]]},"references-count":28,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2012,11]]}},"alternative-id":["246"],"URL":"https:\/\/doi.org\/10.1007\/s00182-010-0246-6","relation":{},"ISSN":["0020-7276","1432-1270"],"issn-type":[{"value":"0020-7276","type":"print"},{"value":"1432-1270","type":"electronic"}],"subject":[],"published":{"date-parts":[[2010,7,1]]}}}