{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,9,28]],"date-time":"2025-09-28T12:47:00Z","timestamp":1759063620646,"version":"3.37.3"},"reference-count":12,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2016,5,12]],"date-time":"2016-05-12T00:00:00Z","timestamp":1463011200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"funder":[{"DOI":"10.13039\/501100001659","name":"Deutsche Forschungsgemeinschaft (DE)","doi-asserted-by":"publisher","award":["CA 266\/4-1"],"award-info":[{"award-number":["CA 266\/4-1"]}],"id":[{"id":"10.13039\/501100001659","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int J Game Theory"],"published-print":{"date-parts":[[2017,5]]},"DOI":"10.1007\/s00182-016-0536-8","type":"journal-article","created":{"date-parts":[[2016,5,12]],"date-time":"2016-05-12T06:24:18Z","timestamp":1463034258000},"page":"295-310","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":5,"title":["Scarcity, competition, and value"],"prefix":"10.1007","volume":"46","author":[{"given":"Andr\u00e9","family":"Casajus","sequence":"first","affiliation":[]},{"given":"Harald","family":"Wiese","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2016,5,12]]},"reference":[{"key":"536_CR1","doi-asserted-by":"publisher","first-page":"229","DOI":"10.1007\/s11238-004-5650-6","volume":"56","author":"E Algaba","year":"2004","unstructured":"Algaba E, Bilbao JM, Fernandez JR, Jimenez A (2004) The Lovsz extension of market games. Theory Decis 56:229\u2013238","journal-title":"Theory Decis"},{"key":"536_CR2","volume-title":"Values of non-atomic games","author":"R Aumann","year":"1974","unstructured":"Aumann R, Shapley LS (1974) Values of non-atomic games. Princeton University Press, Princeton"},{"key":"536_CR3","volume-title":"Concrete mathematics: a foundation for computer science","author":"RL Graham","year":"1994","unstructured":"Graham RL, Knuth DE, Patashnik O (1994) Concrete mathematics: a foundation for computer science, 2nd edn. Addison-Wesley, Boston","edition":"2"},{"key":"536_CR4","doi-asserted-by":"publisher","first-page":"445","DOI":"10.1016\/S0304-4068(01)00052-0","volume":"35","author":"O Haimanko","year":"2001","unstructured":"Haimanko O (2001) Cost sharing: the non-differentiable case. J Math Econ 35:445\u2013462","journal-title":"J Math Econ"},{"issue":"3","key":"536_CR5","doi-asserted-by":"publisher","first-page":"205","DOI":"10.1007\/BF01756292","volume":"16","author":"E Kalai","year":"1987","unstructured":"Kalai E, Samet D (1987) On weighted Shapley values. Int J Game Theory 16(3):205\u2013222","journal-title":"Int J Game Theory"},{"key":"536_CR6","doi-asserted-by":"publisher","first-page":"235","DOI":"10.1007\/978-3-642-68874-4_10","volume-title":"Mathematical programming: the state of the art","author":"L Lovsz","year":"1983","unstructured":"Lovsz L (1983) Submodular functions and convexity. In: Bachem A, Gr\u00f6stschel M, Korte B (eds) Mathematical programming: the state of the art. Springer, Berlin, pp 235\u2013257"},{"key":"536_CR7","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/BF01240834","volume":"17","author":"J-F Mertens","year":"1988","unstructured":"Mertens J-F (1988) The Shapley value in the non-differentiable case. Int J Game Theory 17:1\u201365","journal-title":"Int J Game Theory"},{"key":"536_CR8","unstructured":"Neyman A (2002) Values of games with infinitely many players. In: Aumann R, Hart S (eds) Handbook of game theory with economic applications. Vol. 3 of Handbooks in Economics 11. North Holland, Chapter 56, pp 2121\u20132167"},{"key":"536_CR9","doi-asserted-by":"publisher","first-page":"389","DOI":"10.1016\/S0899-8256(05)80008-9","volume":"8","author":"AS Nowak","year":"1995","unstructured":"Nowak AS, Radzik T (1995) On axiomatizations of the weighted Shapley values. Games Econ Behav 8:389\u2013405","journal-title":"Games Econ Behav"},{"key":"536_CR10","doi-asserted-by":"publisher","unstructured":"Owen G (1972) Multilinear extensions of games. Manag Sci 18(5, Part 2):64\u201379","DOI":"10.1287\/mnsc.18.5.64"},{"key":"536_CR11","first-page":"307","volume-title":"Contributions to the theory of games","author":"LS Shapley","year":"1953","unstructured":"Shapley LS (1953) A value for \n                        $$n$$\n                        \n                            \n                                            \n                                n\n                            \n                        \n                    -person games. In: Kuhn H, Tucker A (eds) Contributions to the theory of games, vol II. Princeton University Press, Princeton, pp 307\u2013317"},{"key":"536_CR12","doi-asserted-by":"publisher","first-page":"65","DOI":"10.1007\/BF01769885","volume":"14","author":"HP Young","year":"1985","unstructured":"Young HP (1985) Monotonic solutions of cooperative games. Int J Game Theory 14:65\u201372","journal-title":"Int J Game Theory"}],"container-title":["International Journal of Game Theory"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00182-016-0536-8\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-016-0536-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-016-0536-8","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00182-016-0536-8.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,23]],"date-time":"2019-05-23T14:40:55Z","timestamp":1558622455000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00182-016-0536-8"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,5,12]]},"references-count":12,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2017,5]]}},"alternative-id":["536"],"URL":"https:\/\/doi.org\/10.1007\/s00182-016-0536-8","relation":{},"ISSN":["0020-7276","1432-1270"],"issn-type":[{"type":"print","value":"0020-7276"},{"type":"electronic","value":"1432-1270"}],"subject":[],"published":{"date-parts":[[2016,5,12]]}}}