{"id":"https://openalex.org/W2070455571","doi":"https://doi.org/10.1145/1276958.1277054","title":"Thoughts on solution concepts","display_name":"Thoughts on solution concepts","publication_year":2007,"publication_date":"2007-07-07","ids":{"openalex":"https://openalex.org/W2070455571","doi":"https://doi.org/10.1145/1276958.1277054","mag":"2070455571"},"language":"en","primary_location":{"id":"doi:10.1145/1276958.1277054","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276958.1277054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"},"type":"article","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/A5008998789","display_name":"Anthony Bucci","orcid":null},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Anthony Bucci","raw_affiliation_strings":["Brandeis University, Waltham, MA","Brandeis University , Waltham, MA"],"affiliations":[{"raw_affiliation_string":"Brandeis University, Waltham, MA","institution_ids":["https://openalex.org/I6902469"]},{"raw_affiliation_string":"Brandeis University , Waltham, MA","institution_ids":["https://openalex.org/I6902469"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5065211438","display_name":"Jordan Pollack","orcid":"https://orcid.org/0009-0008-0819-3819"},"institutions":[{"id":"https://openalex.org/I6902469","display_name":"Brandeis University","ror":"https://ror.org/05abbep66","country_code":"US","type":"education","lineage":["https://openalex.org/I6902469"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Jordan B. Pollack","raw_affiliation_strings":["Brandeis University, Waltham, MA","Brandeis University , Waltham, MA"],"affiliations":[{"raw_affiliation_string":"Brandeis University, Waltham, MA","institution_ids":["https://openalex.org/I6902469"]},{"raw_affiliation_string":"Brandeis University , Waltham, MA","institution_ids":["https://openalex.org/I6902469"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5008998789"],"corresponding_institution_ids":["https://openalex.org/I6902469"],"apc_list":null,"apc_paid":null,"fwci":1.8774,"has_fulltext":false,"cited_by_count":9,"citation_normalized_percentile":{"value":0.87772816,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":null,"issue":null,"first_page":"434","last_page":"439"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9984999895095825,"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"}},"topics":[{"id":"https://openalex.org/T11975","display_name":"Evolutionary Algorithms and Applications","score":0.9984999895095825,"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/T10848","display_name":"Advanced Multi-Objective Optimization Algorithms","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.977400004863739,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monotonic-function","display_name":"Monotonic function","score":0.8107633590698242},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.6378074884414673},{"id":"https://openalex.org/keywords/convex-hull","display_name":"Convex hull","score":0.5028480887413025},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4986100196838379},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.4937609136104584},{"id":"https://openalex.org/keywords/representation","display_name":"Representation (politics)","score":0.48884814977645874},{"id":"https://openalex.org/keywords/solution-concept","display_name":"Solution concept","score":0.4507066607475281},{"id":"https://openalex.org/keywords/simple","display_name":"Simple (philosophy)","score":0.446257621049881},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4387943744659424},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.4308742880821228},{"id":"https://openalex.org/keywords/partially-ordered-set","display_name":"Partially ordered set","score":0.42397987842559814},{"id":"https://openalex.org/keywords/mathematical-economics","display_name":"Mathematical economics","score":0.4200449585914612},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.40630054473876953},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.29462864995002747},{"id":"https://openalex.org/keywords/game-theory","display_name":"Game theory","score":0.14597639441490173},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.12371018528938293},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08221486210823059}],"concepts":[{"id":"https://openalex.org/C72169020","wikidata":"https://www.wikidata.org/wiki/Q194404","display_name":"Monotonic function","level":2,"score":0.8107633590698242},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.6378074884414673},{"id":"https://openalex.org/C206194317","wikidata":"https://www.wikidata.org/wiki/Q1138624","display_name":"Convex hull","level":3,"score":0.5028480887413025},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4986100196838379},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.4937609136104584},{"id":"https://openalex.org/C2776359362","wikidata":"https://www.wikidata.org/wiki/Q2145286","display_name":"Representation (politics)","level":3,"score":0.48884814977645874},{"id":"https://openalex.org/C11343654","wikidata":"https://www.wikidata.org/wiki/Q780008","display_name":"Solution concept","level":3,"score":0.4507066607475281},{"id":"https://openalex.org/C2780586882","wikidata":"https://www.wikidata.org/wiki/Q7520643","display_name":"Simple (philosophy)","level":2,"score":0.446257621049881},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4387943744659424},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.4308742880821228},{"id":"https://openalex.org/C180645754","wikidata":"https://www.wikidata.org/wiki/Q474715","display_name":"Partially ordered set","level":2,"score":0.42397987842559814},{"id":"https://openalex.org/C144237770","wikidata":"https://www.wikidata.org/wiki/Q747534","display_name":"Mathematical economics","level":1,"score":0.4200449585914612},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.40630054473876953},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.29462864995002747},{"id":"https://openalex.org/C177142836","wikidata":"https://www.wikidata.org/wiki/Q44455","display_name":"Game theory","level":2,"score":0.14597639441490173},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.12371018528938293},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08221486210823059},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"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/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C94625758","wikidata":"https://www.wikidata.org/wiki/Q7163","display_name":"Politics","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/1276958.1277054","is_oa":false,"landing_page_url":"https://doi.org/10.1145/1276958.1277054","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the 9th annual conference on Genetic and evolutionary computation","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","score":0.49000000953674316,"id":"https://metadata.un.org/sdg/10"}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":22,"referenced_works":["https://openalex.org/W215189873","https://openalex.org/W1503911500","https://openalex.org/W1505219546","https://openalex.org/W1516893603","https://openalex.org/W1542968481","https://openalex.org/W1555689267","https://openalex.org/W1556200398","https://openalex.org/W1598952354","https://openalex.org/W2021257181","https://openalex.org/W2100211715","https://openalex.org/W2104053798","https://openalex.org/W2112021282","https://openalex.org/W2117564498","https://openalex.org/W2117673555","https://openalex.org/W2121365620","https://openalex.org/W2127197749","https://openalex.org/W2129936995","https://openalex.org/W2504494713","https://openalex.org/W2573672881","https://openalex.org/W3004042307","https://openalex.org/W3177299375","https://openalex.org/W4401148857"],"related_works":["https://openalex.org/W2106070061","https://openalex.org/W4390961156","https://openalex.org/W4394660572","https://openalex.org/W1489559156","https://openalex.org/W4312224320","https://openalex.org/W1963087247","https://openalex.org/W2347443236","https://openalex.org/W4205203210","https://openalex.org/W2146274131","https://openalex.org/W2184328455"],"abstract_inverted_index":{"This":[0],"paper":[1],"explores":[2],"connections":[3],"between":[4],"Ficici's":[5],"notion":[6],"of":[7,32,48,55,69,73,117,123],"solution":[8,147,161,176,191],"concept":[9],"and":[10,91],"order":[11,20,27,41],"theory.":[12],"Ficici":[13],"postulates":[14],"that":[15,37,104,134,145,159],"algorithms":[16,105],"should":[17],"ascend":[18,107],"an":[19,56],"called":[21],"weak":[22,39,84,109,136],"preference;":[23],"thus,":[24],"understanding":[25],"this":[26,100,121],"is":[28,42,185],"important":[29],"to":[30,45,102,114],"questions":[31],"designing":[33],"algorithms.":[34],"We":[35,98,155],"observe":[36],"the":[38,46,49,67,70,83,108,140,152],"preference":[40,85,110,137],"closely":[43],"related":[44],"pullback":[47,68],"so-called":[50],"lower":[51],"ordering":[52,72,86,111],"on":[53],"subsets":[54],"ordered":[57],"set.":[58],"The":[59],"latter":[60],"can,":[61],"in":[62,87,130,151,188],"turn,":[63],"be":[64,139,164],"represented":[65],"as":[66,94],"subset":[71,96],"a":[74,88,95,115],"certain":[75],"powerset.":[76],"Taken":[77],"together,":[78],"these":[79],"two":[80],"observations":[81],"represent":[82],"more":[89],"simple":[90],"concrete":[92],"form":[93],"ordering.":[97],"utilize":[99],"representation":[101],"show":[103,144],"which":[106],"are":[112,149,181],"vulnerable":[113],"kind":[116,122],"bloating":[118],"problem.":[119],"Since":[120,173],"bloat":[124],"has":[125],"been":[126],"observed":[127],"several":[128,174],"times":[129],"practice,":[131],"we":[132,143],"hypothesize":[133],"ascending":[135],"may":[138],"cause.":[141],"Finally,":[142],"monotonic":[146,160,190],"concepts":[148,162,177,192],"convex":[150,171],"order-theoretic":[153],"sense.":[154],"conclude":[156],"by":[157,169],"speculating":[158],"might":[163],"derivable":[165],"from":[166,193],"non-monotonic":[167,194],"ones":[168],"taking":[170],"hull.":[172],"intuitive":[175],"like":[178],"average":[179],"fitness":[180],"not":[182],"monotonic,":[183],"there":[184],"practical":[186],"value":[187],"creating":[189],"ones.":[195]},"counts_by_year":[{"year":2019,"cited_by_count":1},{"year":2015,"cited_by_count":2},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}