{"id":"https://openalex.org/W4246853078","doi":"https://doi.org/10.1007/bf01202420","title":"The master equation approach to nonlinear economics","display_name":"The master equation approach to nonlinear economics","publication_year":1992,"publication_date":"1992-09-01","ids":{"openalex":"https://openalex.org/W4246853078","doi":"https://doi.org/10.1007/bf01202420"},"language":"en","primary_location":{"id":"doi:10.1007/bf01202420","doi":"https://doi.org/10.1007/bf01202420","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202420","pdf_url":null,"source":{"id":"https://openalex.org/S121026525","display_name":"Journal of Evolutionary Economics","issn_l":"0936-9937","issn":["0936-9937","1432-1386"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":"Journal of Evolutionary Economics","raw_type":"journal-article"},"volume":null,"type":"article","is_traditional":true,"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/A5111429550","display_name":"Wolfgang Weidlich","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Wolfgang Weidlich","raw_affiliation_strings":["II. Institut f\u00fcr Theoretische Physik, Universit\u00e4t Stuttgart, Pfaffenwaldring 57/III, W-7000, Stuttgart 80, FRG"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Institut f\u00fcr Theoretische Physik, Universit\u00e4t Stuttgart, Pfaffenwaldring 57/III, W-7000, Stuttgart 80, FRG","institution_ids":["https://openalex.org/I100066346"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5090628576","display_name":"Martin Braun","orcid":"https://orcid.org/0000-0003-3759-4343","observed_orcids":["https://orcid.org/0000-0003-3759-4343","https://orcid.org/0000-0003-0857-6760"]},"institutions":[{"id":"https://openalex.org/I100066346","display_name":"University of Stuttgart","ror":"https://ror.org/04vnq7t77","country_code":"DE","type":"education","lineage":["https://openalex.org/I100066346"]}],"countries":["DE"],"is_corresponding":false,"raw_author_name":"Martin Braun","raw_affiliation_strings":["II. Institut f\u00fcr Theoretische Physik, Universit\u00e4t Stuttgart, Pfaffenwaldring 57/III, W-7000, Stuttgart 80, FRG"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"II. Institut f\u00fcr Theoretische Physik, Universit\u00e4t Stuttgart, Pfaffenwaldring 57/III, W-7000, Stuttgart 80, FRG","institution_ids":["https://openalex.org/I100066346"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I100066346"],"apc_list":{"value":3090,"currency":"USD","value_usd":3090},"apc_paid":null,"fwci":3.3491,"has_fulltext":false,"cited_by_count":60,"citation_normalized_percentile":{"value":0.91258859,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":88,"max":97},"biblio":{"volume":"2","issue":"3","first_page":"233","last_page":"265"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.6478999853134155,"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/T11270","display_name":"Complex Systems and Time Series Analysis","score":0.6478999853134155,"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/T10785","display_name":"Economic Theory and Institutions","score":0.28299999237060547,"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/T12659","display_name":"Innovation Diffusion and Forecasting","score":0.018400000408291817,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/master-equation","display_name":"master equation","score":0.9710000157356262},{"id":"https://openalex.org/keywords/nonlinear-economic-dynamics","display_name":"nonlinear economic dynamics","score":0.9890000224113464},{"id":"https://openalex.org/keywords/agent-based-modeling","display_name":"agent-based modeling","score":0.8519999980926514},{"id":"https://openalex.org/keywords/utility-measures","display_name":"utility measures","score":0.453000009059906},{"id":"https://openalex.org/keywords/durable-goods","display_name":"durable goods","score":0.609000027179718},{"id":"https://openalex.org/keywords/positive-feedback","display_name":"positive feedback","score":0.7289999723434448},{"id":"https://openalex.org/keywords/two-firm-competition","display_name":"two-firm competition","score":0.6420000195503235}],"concepts":[{"id":"https://openalex.org/C128805008","wikidata":"https://www.wikidata.org/wiki/Q722878","display_name":"Master equation","level":3,"score":0.8594087362289429},{"id":"https://openalex.org/C158622935","wikidata":"https://www.wikidata.org/wiki/Q660848","display_name":"Nonlinear system","level":2,"score":0.7142406702041626},{"id":"https://openalex.org/C166955791","wikidata":"https://www.wikidata.org/wiki/Q629579","display_name":"Macro","level":2,"score":0.6105879545211792},{"id":"https://openalex.org/C2779530757","wikidata":"https://www.wikidata.org/wiki/Q1207505","display_name":"Quality (philosophy)","level":2,"score":0.5410967469215393},{"id":"https://openalex.org/C71104824","wikidata":"https://www.wikidata.org/wiki/Q1476639","display_name":"Structural equation modeling","level":2,"score":0.5184206962585449},{"id":"https://openalex.org/C49937458","wikidata":"https://www.wikidata.org/wiki/Q2599292","display_name":"Probabilistic logic","level":2,"score":0.5078397393226624},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.48578906059265137},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.424262672662735},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.42293843626976013},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.37962114810943604},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.3620378375053406},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3474488854408264},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.33272677659988403},{"id":"https://openalex.org/C149782125","wikidata":"https://www.wikidata.org/wiki/Q160039","display_name":"Econometrics","level":1,"score":0.32621335983276367},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.18088844418525696},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.10562938451766968},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.0},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/bf01202420","doi":"https://doi.org/10.1007/bf01202420","is_oa":false,"landing_page_url":"https://doi.org/10.1007/bf01202420","pdf_url":null,"source":{"id":"https://openalex.org/S121026525","display_name":"Journal of Evolutionary Economics","issn_l":"0936-9937","issn":["0936-9937","1432-1386"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["abdc-a","anvur-class-a","anvur-scientific","cwts-core","jufo-1","norway-1","poland-70","russia-white-list-1","vabb-shw"],"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":"Journal of Evolutionary Economics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":8,"referenced_works":["https://openalex.org/W53290182","https://openalex.org/W62368089","https://openalex.org/W107788881","https://openalex.org/W1537543935","https://openalex.org/W2079229497","https://openalex.org/W3124228313","https://openalex.org/W4206476507","https://openalex.org/W4301066124"],"related_works":["https://openalex.org/W4415779830","https://openalex.org/W3213557554","https://openalex.org/W6981491649","https://openalex.org/W2100700155","https://openalex.org/W7165324523","https://openalex.org/W2286577283","https://openalex.org/W2063494567","https://openalex.org/W2621046272","https://openalex.org/W4363624542","https://openalex.org/W2041636003"],"abstract_inverted_index":null,"counts_by_year":[{"year":2026,"cited_by_count":2},{"year":2025,"cited_by_count":1},{"year":2023,"cited_by_count":3},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2012,"cited_by_count":2}],"updated_date":"2026-11-04T10:54:05.112534","created_date":"2022-05-12T00:00:00"}