{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T14:25:28Z","timestamp":1759847128761,"version":"3.37.3"},"reference-count":36,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2022,1,29]],"date-time":"2022-01-29T00:00:00Z","timestamp":1643414400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2022,1,29]],"date-time":"2022-01-29T00:00:00Z","timestamp":1643414400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Ann Oper Res"],"published-print":{"date-parts":[[2022,11]]},"DOI":"10.1007\/s10479-021-04493-3","type":"journal-article","created":{"date-parts":[[2022,2,1]],"date-time":"2022-02-01T13:03:08Z","timestamp":1643720588000},"page":"1095-1115","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Spatial games and endogenous coalition formation"],"prefix":"10.1007","volume":"318","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7151-2607","authenticated-orcid":false,"given":"Guillermo","family":"Owen","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Francesc","family":"Carreras","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2022,1,29]]},"reference":[{"key":"4493_CR1","doi-asserted-by":"publisher","first-page":"25","DOI":"10.1007\/s10479-013-1325-4","volume":"215","author":"F Aleskerov","year":"2014","unstructured":"Aleskerov, F., Holler, M. J., & Kamalova, R. (2014). Power distribution in the Weimar Reichstag in 1919\u20131933. Annals of Operations Research, 215, 25\u201337.","journal-title":"Annals of Operations Research"},{"volume-title":"Handbook of the Shapley value","year":"2019","key":"4493_CR2","unstructured":"Algaba, E., Fragnelli, V., & S\u00e1nchez-Soriano, J. (Eds.). (2019). Handbook of the Shapley value. Boca Raton: CRC Press."},{"key":"4493_CR3","doi-asserted-by":"crossref","unstructured":"Aumann, R. J. & Maschler, M. (1964). The bargaining set for cooperative games. In Dresher, Shapley, and Tucker (Eds.),Advances in game theory, annals of mathematics (Vol. 52, pp. 443\u2013476). Princeton University Press.","DOI":"10.1515\/9781400882014-022"},{"key":"4493_CR4","unstructured":"Banzhaf, J. F. (1965). Weighted voting doesn\u2019t work: A mathematical analysis. Rutgers Law Review, 19, 317\u2013343."},{"key":"4493_CR5","volume-title":"The theory of committees and elections","author":"D Black","year":"1958","unstructured":"Black, D. (1958). The theory of committees and elections. Cambridge: Cambridge University Press."},{"key":"4493_CR6","unstructured":"Borm, P. E., van den Brink, R., Hendrickx, R., & Owen, G. (2005). \u201cThe VL value for network games,\u201d Discussion paper 2005\u201365. Center for Economic Research: Tilburg University."},{"key":"4493_CR7","doi-asserted-by":"publisher","first-page":"87","DOI":"10.1016\/0165-4896(88)90032-7","volume":"15","author":"F Carreras","year":"1988","unstructured":"Carreras, F., & Owen, G. (1988). Evaluation of the catalonian parliament, 1980\u20131984. Mathematical Social Sciences, 15, 87\u201392.","journal-title":"Mathematical Social Sciences"},{"key":"4493_CR8","unstructured":"Copeland, A. H. (1951). A reasonable social welfare function (unpublished manuscript)."},{"key":"4493_CR9","volume-title":"An economic theory of democracy","author":"A Downs","year":"1957","unstructured":"Downs, A. (1957). An economic theory of democracy. New York: Harper & Row."},{"key":"4493_CR10","volume-title":"The spatial theory of voting","author":"JE Enelow","year":"1984","unstructured":"Enelow, J. E., & Hinich, M. J. (1984). The spatial theory of voting. Cambridge: Cambridge University Press."},{"volume-title":"Advances in the spatial theory of voting","year":"1990","key":"4493_CR11","unstructured":"Enelow, J. E., & Hinich, M. J. (Eds.). (1990). Advances in the spatial theory of voting. Cambridge: Cambridge University Press."},{"key":"4493_CR12","doi-asserted-by":"crossref","unstructured":"Feld, S. L., & Grofman, B. N. (1990). Voting in one\u2019s head as a source of nearly transitive individual preferences over multi-dimensional issues. Annals of Operations Research, 23, 257\u2013263.","DOI":"10.1007\/BF02204850"},{"key":"4493_CR13","doi-asserted-by":"publisher","first-page":"45","DOI":"10.1007\/BF00297059","volume":"1","author":"JA Ferejohn","year":"1984","unstructured":"Ferejohn, J. A., McKelvey, R. D., & Packel, E. W. (1984). Limiting distributions for continuous state. Markov models. Social Choice and Welfare, 1, 45\u201367.","journal-title":"Social Choice and Welfare"},{"key":"4493_CR14","doi-asserted-by":"publisher","first-page":"539","DOI":"10.2307\/1961966","volume":"81","author":"BN Grofman","year":"1987","unstructured":"Grofman, B. N., Glazer, A., Noviello, N., & Owen, G. (1987). Stability and centrality of legislative choice in the spatial context. American Political Science Review, 81, 539\u2013553.","journal-title":"American Political Science Review"},{"key":"4493_CR15","doi-asserted-by":"crossref","unstructured":"Harsanyi, J. C. (1957). A bargaining model for the cooperative $$n$$\u2013person game. In Tucker and Luce (Eds.), Contributions to the theory of games IV, annals of mathematics study (Vol. 40, pp. 325\u2013355).","DOI":"10.1515\/9781400882168-019"},{"key":"4493_CR16","doi-asserted-by":"publisher","first-page":"1","DOI":"10.1007\/s10479-020-03825-z","volume":"301","author":"C Manuel","year":"2021","unstructured":"Manuel, C., & Mart\u00edn, D. (2021). A value for communication situations with players having different bargaining abilities. Annals of Operations Research, 301, 1\u201322.","journal-title":"Annals of Operations Research"},{"key":"4493_CR17","doi-asserted-by":"publisher","first-page":"283","DOI":"10.2307\/2111098","volume":"30","author":"RD McKelvey","year":"1986","unstructured":"McKelvey, R. D. (1986). Covering, dominance, and institution-free properties of social choice. American Journal of Political Science, 30, 283\u2013314.","journal-title":"American Journal of Political Science"},{"key":"4493_CR18","doi-asserted-by":"publisher","first-page":"225","DOI":"10.1287\/moor.2.3.225","volume":"2","author":"RB Myerson","year":"1977","unstructured":"Myerson, R. B. (1977). Graphs and cooperation in games. Mathematics of Operations Research, 2, 225\u2013229.","journal-title":"Mathematics of Operations Research"},{"key":"4493_CR19","doi-asserted-by":"publisher","first-page":"345","DOI":"10.1002\/nav.3800180307","volume":"18","author":"G Owen","year":"1971","unstructured":"Owen, G. (1971). Political games. Naval Research Logistics Quarterly, 18, 345\u2013355.","journal-title":"Naval Research Logistics Quarterly"},{"key":"4493_CR20","doi-asserted-by":"publisher","first-page":"64","DOI":"10.1287\/mnsc.18.5.64","volume":"18","author":"G Owen","year":"1972","unstructured":"Owen, G. (1972). Multilinear extensions of games. Management Science, 18, 64\u201379.","journal-title":"Management Science"},{"key":"4493_CR21","doi-asserted-by":"publisher","first-page":"741","DOI":"10.1002\/nav.3800220409","volume":"22","author":"G Owen","year":"1975","unstructured":"Owen, G. (1975). Multilinear extensions and the Banzhaf value. Naval Research Logistics Quarterly, 22, 741\u2013750.","journal-title":"Naval Research Logistics Quarterly"},{"key":"4493_CR22","doi-asserted-by":"crossref","unstructured":"Owen, G. (1977). Values of games with a priori unions. In Henn and Moeschlin (Eds.), Mathematical economics and game theory (pp. 76\u201387). Springer, Berlin.","DOI":"10.1007\/978-3-642-45494-3_7"},{"key":"4493_CR23","doi-asserted-by":"publisher","first-page":"210","DOI":"10.1137\/0607025","volume":"7","author":"G Owen","year":"1986","unstructured":"Owen, G. (1986). Values of graph-restricted games. SIAM Journal of Algebraic and Discrete Methods, 7, 210\u2013220.","journal-title":"SIAM Journal of Algebraic and Discrete Methods"},{"key":"4493_CR24","doi-asserted-by":"publisher","first-page":"269","DOI":"10.1016\/0165-4896(90)90066-G","volume":"19","author":"G Owen","year":"1990","unstructured":"Owen, G. (1990). Stable outcomes in spatial voting games. Mathematical Social Sciences, 19, 269\u2013279.","journal-title":"Mathematical Social Sciences"},{"key":"4493_CR25","doi-asserted-by":"publisher","first-page":"35","DOI":"10.1007\/978-3-662-09664-2_4","volume-title":"Rational interaction","author":"G Owen","year":"1992","unstructured":"Owen, G. (1992). The finagle point for characteristic function games. In Springer Selten (Ed.), Rational interaction (pp. 35\u201343). Berlin: Verlag."},{"key":"4493_CR26","volume-title":"Game theory","author":"G Owen","year":"2013","unstructured":"Owen, G. (2013). Game theory. Bingley: Emerald Group Publishing Limited."},{"key":"4493_CR27","doi-asserted-by":"publisher","first-page":"339","DOI":"10.1007\/BF01254297","volume":"18","author":"G Owen","year":"1989","unstructured":"Owen, G., & Shapley, L. S. (1989). Optimal location of candidates in ideological space. International Journal of Game Theory, 18, 339\u2013356.","journal-title":"International Journal of Game Theory"},{"key":"4493_CR28","doi-asserted-by":"crossref","unstructured":"Peters, H. (2019). Power and the Shapley value. In: Algaba, Fragnelli and S\u00e1nchez\u2013Soriano (Eds.), Handbook of the Shapley value (pp. 181\u2013198). Taylor & Francis, CRC Press.","DOI":"10.1201\/9781351241410-10"},{"key":"4493_CR29","doi-asserted-by":"publisher","first-page":"525","DOI":"10.1007\/s00182-016-0544-8","volume":"46","author":"H Peters","year":"2017","unstructured":"Peters, H., & Zarzuelo, J. M. (2017). An axiomatic characterization of the Owen\u2013Shapley spatial power index. International Journal of Game Theory, 46, 525\u2013545.","journal-title":"International Journal of Game Theory"},{"key":"4493_CR30","first-page":"787","volume":"57","author":"CR Plott","year":"1967","unstructured":"Plott, C. R. (1967). A notion of equilibrium and its possibility under majority rule. American Economic Review, 57, 787\u2013806.","journal-title":"American Economic Review"},{"key":"4493_CR31","doi-asserted-by":"publisher","first-page":"1163","DOI":"10.1137\/0117107","volume":"17","author":"D Schmeidler","year":"1969","unstructured":"Schmeidler, D. (1969). The nucleolus of an $$n$$-person game. SIAM Journal of Applied Mathematics, 17, 1163\u20131170.","journal-title":"SIAM Journal of Applied Mathematics"},{"key":"4493_CR32","doi-asserted-by":"crossref","unstructured":"Shapley, L. S. (1953). A value for $$n$$\u2013person games. In Kuhn and Tucker (Eds.), Contributions to the theory of games, II (pp. 307\u2013317).","DOI":"10.1515\/9781400881970-018"},{"key":"4493_CR33","volume-title":"A comparison of power indices and a non-symmetric generalization, P-5872","author":"LS Shapley","year":"1977","unstructured":"Shapley, L. S. (1977). A comparison of power indices and a non-symmetric generalization, P-5872. Santa Monica: The RAND Corporation."},{"key":"4493_CR34","doi-asserted-by":"publisher","first-page":"787","DOI":"10.2307\/1951053","volume":"48","author":"LS Shapley","year":"1954","unstructured":"Shapley, L. S., & Shubik, M. (1954). A method for evaluating the distribution of power in a committee system. American Political Science Review, 48, 787\u2013792.","journal-title":"American Political Science Review"},{"key":"4493_CR35","volume-title":"The theory of games and economic behavior","author":"J von Neumann","year":"1944","unstructured":"von Neumann, J., & Morgenstern, O. (1944). The theory of games and economic behavior. Princeton: Princeton University Press."},{"key":"4493_CR36","doi-asserted-by":"crossref","unstructured":"Wuffle, A., Feld, S. L., Owen, G., & Grofman, B. N. (1989). Finagle\u2019s law and the finagle point. American Journal of Political Science, 33, 348\u2013375.","DOI":"10.2307\/2111151"}],"container-title":["Annals of Operations Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04493-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10479-021-04493-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10479-021-04493-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,11,9]],"date-time":"2022-11-09T22:01:46Z","timestamp":1668031306000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10479-021-04493-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2022,1,29]]},"references-count":36,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2022,11]]}},"alternative-id":["4493"],"URL":"https:\/\/doi.org\/10.1007\/s10479-021-04493-3","relation":{},"ISSN":["0254-5330","1572-9338"],"issn-type":[{"type":"print","value":"0254-5330"},{"type":"electronic","value":"1572-9338"}],"subject":[],"published":{"date-parts":[[2022,1,29]]},"assertion":[{"value":"6 December 2021","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"29 January 2022","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}