{"id":"https://openalex.org/W4389304756","doi":"https://doi.org/10.1007/978-3-031-48806-1_18","title":"Concave Pro-rata Games","display_name":"Concave Pro-rata Games","publication_year":2023,"publication_date":"2023-12-04","ids":{"openalex":"https://openalex.org/W4389304756","doi":"https://doi.org/10.1007/978-3-031-48806-1_18"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-031-48806-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-48806-1_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5030322053","display_name":"Nicholas A. G. Johnson","orcid":"https://orcid.org/0000-0002-0363-9200"},"institutions":[{"id":"https://openalex.org/I139787848","display_name":"Capital University","ror":"https://ror.org/00jy9e726","country_code":"US","type":"education","lineage":["https://openalex.org/I139787848"]},{"id":"https://openalex.org/I899382313","display_name":"Bainbridge State College","ror":"https://ror.org/00yk34w18","country_code":"US","type":"education","lineage":["https://openalex.org/I899382313"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Nicholas A. G. Johnson","raw_affiliation_strings":["Bain Capital Crypto, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bain Capital Crypto, Boston, USA","institution_ids":["https://openalex.org/I899382313","https://openalex.org/I139787848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5090116188","display_name":"Theo Diamandis","orcid":"https://orcid.org/0000-0003-0657-5959"},"institutions":[{"id":"https://openalex.org/I139787848","display_name":"Capital University","ror":"https://ror.org/00jy9e726","country_code":"US","type":"education","lineage":["https://openalex.org/I139787848"]},{"id":"https://openalex.org/I899382313","display_name":"Bainbridge State College","ror":"https://ror.org/00yk34w18","country_code":"US","type":"education","lineage":["https://openalex.org/I899382313"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Theo Diamandis","raw_affiliation_strings":["Bain Capital Crypto, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bain Capital Crypto, Boston, USA","institution_ids":["https://openalex.org/I899382313","https://openalex.org/I139787848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5073041823","display_name":"Alex Evans","orcid":null},"institutions":[{"id":"https://openalex.org/I139787848","display_name":"Capital University","ror":"https://ror.org/00jy9e726","country_code":"US","type":"education","lineage":["https://openalex.org/I139787848"]},{"id":"https://openalex.org/I899382313","display_name":"Bainbridge State College","ror":"https://ror.org/00yk34w18","country_code":"US","type":"education","lineage":["https://openalex.org/I899382313"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Alex Evans","raw_affiliation_strings":["Bain Capital Crypto, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bain Capital Crypto, Boston, USA","institution_ids":["https://openalex.org/I899382313","https://openalex.org/I139787848"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5066679562","display_name":"Henry de Valence","orcid":null},"institutions":[{"id":"https://openalex.org/I139787848","display_name":"Capital University","ror":"https://ror.org/00jy9e726","country_code":"US","type":"education","lineage":["https://openalex.org/I139787848"]},{"id":"https://openalex.org/I899382313","display_name":"Bainbridge State College","ror":"https://ror.org/00yk34w18","country_code":"US","type":"education","lineage":["https://openalex.org/I899382313"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Henry de Valence","raw_affiliation_strings":["Bain Capital Crypto, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bain Capital Crypto, Boston, USA","institution_ids":["https://openalex.org/I899382313","https://openalex.org/I139787848"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027565638","display_name":"Guillermo Angeris","orcid":"https://orcid.org/0000-0002-4950-3990"},"institutions":[{"id":"https://openalex.org/I139787848","display_name":"Capital University","ror":"https://ror.org/00jy9e726","country_code":"US","type":"education","lineage":["https://openalex.org/I139787848"]},{"id":"https://openalex.org/I899382313","display_name":"Bainbridge State College","ror":"https://ror.org/00yk34w18","country_code":"US","type":"education","lineage":["https://openalex.org/I899382313"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Guillermo Angeris","raw_affiliation_strings":["Bain Capital Crypto, Boston, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Bain Capital Crypto, Boston, USA","institution_ids":["https://openalex.org/I899382313","https://openalex.org/I139787848"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":5,"corresponding_author_ids":["https://openalex.org/A5030322053"],"corresponding_institution_ids":["https://openalex.org/I139787848","https://openalex.org/I899382313"],"apc_list":{"value":5000,"currency":"EUR","value_usd":5392},"apc_paid":null,"fwci":8.9635,"has_fulltext":false,"cited_by_count":2,"citation_normalized_percentile":{"value":0.98710792,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":95},"biblio":{"volume":null,"issue":null,"first_page":"266","last_page":"285"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T12137","display_name":"Economic theories and models","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/2002","display_name":"Economics and Econometrics"},"field":{"id":"https://openalex.org/fields/20","display_name":"Economics, Econometrics and Finance"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11031","display_name":"Game Theory and Applications","score":0.9965000152587891,"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/T10315","display_name":"Decision-Making and Behavioral Economics","score":0.9800999760627747,"subfield":{"id":"https://openalex.org/subfields/1800","display_name":"General Decision Sciences"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/iterated-function","display_name":"Iterated function","score":0.8140056133270264},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6817342042922974},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.6674366593360901},{"id":"https://openalex.org/keywords/nash-equilibrium","display_name":"Nash equilibrium","score":0.5244134664535522},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.46528664231300354},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.26697981357574463}],"concepts":[{"id":"https://openalex.org/C140479938","wikidata":"https://www.wikidata.org/wiki/Q5254619","display_name":"Iterated function","level":2,"score":0.8140056133270264},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6817342042922974},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.6674366593360901},{"id":"https://openalex.org/C46814582","wikidata":"https://www.wikidata.org/wiki/Q23389","display_name":"Nash equilibrium","level":2,"score":0.5244134664535522},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.46528664231300354},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.26697981357574463},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/978-3-031-48806-1_18","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-031-48806-1_18","pdf_url":null,"source":{"id":"https://openalex.org/S106296714","display_name":"Lecture notes in computer science","issn_l":"0302-9743","issn":["0302-9743","1611-3349"],"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":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Lecture Notes in Computer Science","raw_type":"book-chapter"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1972221945","https://openalex.org/W2002768406","https://openalex.org/W2117178771","https://openalex.org/W2288174618","https://openalex.org/W2971317362","https://openalex.org/W3016124762","https://openalex.org/W3177139992","https://openalex.org/W3191070416","https://openalex.org/W3203240724","https://openalex.org/W4250589301"],"related_works":["https://openalex.org/W2803931294","https://openalex.org/W2282604764","https://openalex.org/W2500870930","https://openalex.org/W2218535193","https://openalex.org/W2470927734","https://openalex.org/W4389370903","https://openalex.org/W2468739564","https://openalex.org/W2171981925","https://openalex.org/W2501065092","https://openalex.org/W1554758635"],"abstract_inverted_index":null,"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":1}],"updated_date":"2026-06-13T07:54:00.901334","created_date":"2025-10-10T00:00:00"}