{"id":"https://openalex.org/W2052447582","doi":"https://doi.org/10.1145/2746539.2746565","title":"Small Value Parallel Repetition for General Games","display_name":"Small Value Parallel Repetition for General Games","publication_year":2015,"publication_date":"2015-06-03","ids":{"openalex":"https://openalex.org/W2052447582","doi":"https://doi.org/10.1145/2746539.2746565","mag":"2052447582"},"language":"en","primary_location":{"id":"doi:10.1145/2746539.2746565","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","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/A5042816355","display_name":"Mark Braverman","orcid":"https://orcid.org/0000-0003-1276-6081"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Mark Braverman","raw_affiliation_strings":["Princeton University, Princeton, NJ, USA","Princeton University , Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University , Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5027551258","display_name":"Ankit Garg","orcid":"https://orcid.org/0000-0002-3343-0061"},"institutions":[{"id":"https://openalex.org/I20089843","display_name":"Princeton University","ror":"https://ror.org/00hx57361","country_code":"US","type":"education","lineage":["https://openalex.org/I20089843"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Ankit Garg","raw_affiliation_strings":["Princeton University, Princeton, NJ, USA","Princeton University , Princeton, NJ, USA"],"affiliations":[{"raw_affiliation_string":"Princeton University, Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]},{"raw_affiliation_string":"Princeton University , Princeton, NJ, USA","institution_ids":["https://openalex.org/I20089843"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5042816355"],"corresponding_institution_ids":["https://openalex.org/I20089843"],"apc_list":null,"apc_paid":null,"fwci":5.6082,"has_fulltext":false,"cited_by_count":29,"citation_normalized_percentile":{"value":0.96355608,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"335","last_page":"340"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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"}},"topics":[{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991999864578247,"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/T10720","display_name":"Complexity and Algorithms in Graphs","score":0.9962000250816345,"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/T11151","display_name":"Advanced Topology and Set Theory","score":0.9940000176429749,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-proof","display_name":"Mathematical proof","score":0.8522619009017944},{"id":"https://openalex.org/keywords/repetition","display_name":"Repetition (rhetorical device)","score":0.8435041308403015},{"id":"https://openalex.org/keywords/projection","display_name":"Projection (relational algebra)","score":0.6322950124740601},{"id":"https://openalex.org/keywords/value","display_name":"Value (mathematics)","score":0.5948760509490967},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4547596871852875},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.41358399391174316},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3972979187965393},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.23018330335617065},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.058231204748153687}],"concepts":[{"id":"https://openalex.org/C108710211","wikidata":"https://www.wikidata.org/wiki/Q11538","display_name":"Mathematical proof","level":2,"score":0.8522619009017944},{"id":"https://openalex.org/C2776141515","wikidata":"https://www.wikidata.org/wiki/Q1274479","display_name":"Repetition (rhetorical device)","level":2,"score":0.8435041308403015},{"id":"https://openalex.org/C57493831","wikidata":"https://www.wikidata.org/wiki/Q3134666","display_name":"Projection (relational algebra)","level":2,"score":0.6322950124740601},{"id":"https://openalex.org/C2776291640","wikidata":"https://www.wikidata.org/wiki/Q2912517","display_name":"Value (mathematics)","level":2,"score":0.5948760509490967},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4547596871852875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.41358399391174316},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3972979187965393},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.23018330335617065},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.058231204748153687},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1145/2746539.2746565","is_oa":false,"landing_page_url":"https://doi.org/10.1145/2746539.2746565","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Proceedings of the forty-seventh annual ACM symposium on Theory of Computing","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"},{"id":"https://openalex.org/F4320306079","display_name":"David and Lucile Packard Foundation","ror":"https://ror.org/032atxq54"},{"id":"https://openalex.org/F4320306164","display_name":"Simons Foundation","ror":"https://ror.org/01cmst727"},{"id":"https://openalex.org/F4320306193","display_name":"John Templeton Foundation","ror":"https://ror.org/035tnyy05"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W201917955","https://openalex.org/W1513663661","https://openalex.org/W1879643999","https://openalex.org/W1970259241","https://openalex.org/W1976417016","https://openalex.org/W1979615282","https://openalex.org/W2022444580","https://openalex.org/W2022983100","https://openalex.org/W2044471216","https://openalex.org/W2070683077","https://openalex.org/W2086467753","https://openalex.org/W2102373437","https://openalex.org/W2104886711","https://openalex.org/W2107917944","https://openalex.org/W2108684595","https://openalex.org/W2113315930","https://openalex.org/W2134409102","https://openalex.org/W2136241552","https://openalex.org/W2177980858","https://openalex.org/W2399199715","https://openalex.org/W2403620996","https://openalex.org/W2496614101","https://openalex.org/W2570910249","https://openalex.org/W2581093780","https://openalex.org/W3104935792","https://openalex.org/W3149588634","https://openalex.org/W3179843568","https://openalex.org/W6712652530"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W4394650907","https://openalex.org/W4254119641","https://openalex.org/W3196207352","https://openalex.org/W2951724202","https://openalex.org/W3084261076","https://openalex.org/W2576399385","https://openalex.org/W2963408011","https://openalex.org/W4236324517","https://openalex.org/W4389599330"],"abstract_inverted_index":{"We":[0,29,69],"prove":[1],"a":[2,20],"parallel":[3,56,83,110],"repetition":[4,57,84,111],"theorem":[5,21],"for":[6,22,54,63],"general":[7,64],"games":[8,67],"with":[9],"value":[10,44],"tending":[11],"to":[12,41,48,78,99],"0.":[13],"Previously":[14],"Dinur":[15],"and":[16,50,61,65,76,104],"Steurer":[17],"proved":[18],"such":[19],"the":[23,42,55,72,81,108],"special":[24],"case":[25],"of":[26,59,74],"projection":[27,66],"games.":[28],"use":[30],"information":[31,102],"theoretic":[32],"techniques":[33,91],"in":[34,94,107],"our":[35],"proof.":[36,112],"Our":[37,90],"proofs":[38,53],"also":[39,70],"extend":[40,71],"high":[43],"regime":[45],"(value":[46],"close":[47],"1)":[49],"provide":[51],"alternate":[52],"theorems":[58],"Holenstein":[60],"Rao":[62],"respectively.":[68],"example":[73],"Feige":[75],"Verbitsky":[77],"show":[79],"that":[80,95],"small-value":[82,109],"bound":[85],"we":[86,96],"obtain":[87],"is":[88],"tight.":[89],"are":[92],"elementary":[93],"only":[97],"need":[98],"employ":[100],"basic":[101],"theory":[103],"discrete":[105],"probability":[106]},"counts_by_year":[{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":3},{"year":2023,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":2},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":9},{"year":2015,"cited_by_count":4}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}