{"id":"https://openalex.org/W2160680073","doi":"https://doi.org/10.1007/s001820300133","title":"Making solutions invariant","display_name":"Making solutions invariant","publication_year":2003,"publication_date":"2003-12-01","ids":{"openalex":"https://openalex.org/W2160680073","doi":"https://doi.org/10.1007/s001820300133","mag":"2160680073"},"language":"en","primary_location":{"id":"doi:10.1007/s001820300133","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001820300133","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://cris.maastrichtuniversity.nl/en/publications/2bef0f71-2114-461e-b01e-599ae21b79e6","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5091061937","display_name":"Dries Vermeulen","orcid":"https://orcid.org/0000-0003-1514-7518"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"A. J. Vermeulen","raw_affiliation_strings":["Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","Department of Economics, University of Maastricht, Maastricht"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Department of Economics, University of Maastricht, Maastricht","institution_ids":[]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5108359126","display_name":"M.J.M. Jansen","orcid":null},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"M. J. M. Jansen","raw_affiliation_strings":["Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","Department of Economics, University of Maastricht, Maastricht"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Department of Economics, University of Maastricht, Maastricht","institution_ids":[]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046326990","display_name":"J.A.M. Potters","orcid":"https://orcid.org/0000-0002-5292-5369"},"institutions":[{"id":"https://openalex.org/I34352273","display_name":"Maastricht University","ror":"https://ror.org/02jz4aj89","country_code":"NL","type":"education","lineage":["https://openalex.org/I34352273"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"J. A. M. Potters","raw_affiliation_strings":["Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","Department of Economics, University of Maastricht, Maastricht"],"affiliations":[{"raw_affiliation_string":"Department of Economics, University of Maastricht, no street, P.O. Box 616, 6200 MD, Maastricht, The Netherlands","institution_ids":["https://openalex.org/I34352273"]},{"raw_affiliation_string":"Department of Economics, University of Maastricht, Maastricht","institution_ids":[]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5046326990","https://openalex.org/A5091061937","https://openalex.org/A5108359126"],"corresponding_institution_ids":["https://openalex.org/I34352273"],"apc_list":{"value":2290,"currency":"EUR","value_usd":2890},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.22267127,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"32","issue":"1","first_page":"161","last_page":"180"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11574","display_name":"Artificial Intelligence in Games","score":0.9761999845504761,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10621","display_name":"Gene Regulatory Network Analysis","score":0.9383000135421753,"subfield":{"id":"https://openalex.org/subfields/1312","display_name":"Molecular Biology"},"field":{"id":"https://openalex.org/fields/13","display_name":"Biochemistry, Genetics and Molecular Biology"},"domain":{"id":"https://openalex.org/domains/1","display_name":"Life Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.8094208836555481},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5474683046340942},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4054719805717468},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.390459269285202},{"id":"https://openalex.org/keywords/mathematical-physics","display_name":"Mathematical physics","score":0.11674857139587402}],"concepts":[{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.8094208836555481},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5474683046340942},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4054719805717468},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.390459269285202},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.11674857139587402}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1007/s001820300133","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s001820300133","pdf_url":null,"source":{"id":"https://openalex.org/S132210109","display_name":"International Journal of Game Theory","issn_l":"0020-7276","issn":["0020-7276","1432-1270"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Game Theory","raw_type":"journal-article"},{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/2bef0f71-2114-461e-b01e-599ae21b79e6","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/2bef0f71-2114-461e-b01e-599ae21b79e6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vermeulen, A J, Jansen, M J M & Potters, J A M 2003, 'Making Solutions Invariant', International Journal of Game Theory, vol. 32, pp. 161-180. https://doi.org/10.1007/s001820300133","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.614.7762","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.614.7762","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://arno.unimaas.nl/show.cgi?fid=2574","raw_type":"text"},{"id":"pmh:oai:RePEc:spr:jogath:v:32:y:2003:i:1:p:161-180","is_oa":false,"landing_page_url":"http://hdl.handle.net/10.1007/s001820300133","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:cris.maastrichtuniversity.nl:openaire/2bef0f71-2114-461e-b01e-599ae21b79e6","is_oa":true,"landing_page_url":"https://cris.maastrichtuniversity.nl/en/publications/2bef0f71-2114-461e-b01e-599ae21b79e6","pdf_url":null,"source":{"id":"https://openalex.org/S4306402616","display_name":"Research Publications (Maastricht University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I34352273","host_organization_name":"Maastricht University","host_organization_lineage":["https://openalex.org/I34352273"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Vermeulen, A J, Jansen, M J M & Potters, J A M 2003, 'Making Solutions Invariant', International Journal of Game Theory, vol. 32, pp. 161-180. https://doi.org/10.1007/s001820300133","raw_type":"info:eu-repo/semantics/publishedVersion"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":11,"referenced_works":["https://openalex.org/W118998167","https://openalex.org/W1994858626","https://openalex.org/W2008292100","https://openalex.org/W2049596520","https://openalex.org/W2067050450","https://openalex.org/W2086547506","https://openalex.org/W2107030035","https://openalex.org/W2112170648","https://openalex.org/W2130937741","https://openalex.org/W2142845115","https://openalex.org/W2167341058"],"related_works":["https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W4245490552","https://openalex.org/W4225152035","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W1587224694","https://openalex.org/W2911598644","https://openalex.org/W2042127053"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}