Mitigating the risk of tanking in multi-stage tournaments
Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least 2 teams from a group advance to the knockout stage where the brackets are predetermined. A model is developed to quantify...
Gespeichert in:
Veröffentlicht in: | Annals of operations research 2025, Vol.344 (1), p.135-151 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
container_end_page | 151 |
---|---|
container_issue | 1 |
container_start_page | 135 |
container_title | Annals of operations research |
container_volume | 344 |
creator | Csató, László |
description | Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least 2 teams from a group advance to the knockout stage where the brackets are predetermined. A model is developed to quantify the risk of tanking in these contests. The suggested approach is applied to the 2022 FIFA World Cup to uncover how its design could have been improved by changing group labelling (a reform that has received no attention before) and the schedule of group matches. Scheduling is found to be a surprisingly weak intervention compared to previous results on the risk of collusion in a group. The probability of tanking, which is disturbingly high around 25%, cannot be reduced by more than 3 percentage points via these policies. Tournament organisers need to consider more fundamental changes against tanking. |
doi_str_mv | 10.1007/s10479-024-06311-y |
format | Article |
fullrecord | <record><control><sourceid>proquest_cross</sourceid><recordid>TN_cdi_proquest_journals_3151037600</recordid><sourceformat>XML</sourceformat><sourcesystem>PC</sourcesystem><sourcerecordid>3151037600</sourcerecordid><originalsourceid>FETCH-LOGICAL-c244t-7d22af8452c3e3b087fa4cf6d2ede43fe0b30025774bd25b5ffd16654e8c55c93</originalsourceid><addsrcrecordid>eNp9kE1LxDAURYMoOI7-AVcF19GXvKRplzKoI4y40XVI26RmPtoxSRfz7-1MBXeuHjzuuVwOIbcM7hmAeogMhCopcEEhR8bo4YzMmFSclojFOZkBl4JKRLgkVzGuAYCxQs5I-eaTb03yXZulL5sFHzdZ77Jkus3x57tsN2yTpzGZ1mapH0JndrZL8ZpcOLON9ub3zsnn89PHYklX7y-vi8cVrbkQiaqGc-MKIXmNFisolDOidnnDbWMFOgsVwrhOKVE1XFbSuYbluRS2qKWsS5yTu6l3H_rvwcak16cR26iRSQaocoAxxadUHfoYg3V6H_zOhINmoI-K9KRIj4r0SZE-jBBOUBzDXWvDX_U_1A8Oy2mQ</addsrcrecordid><sourcetype>Aggregation Database</sourcetype><iscdi>true</iscdi><recordtype>article</recordtype><pqid>3151037600</pqid></control><display><type>article</type><title>Mitigating the risk of tanking in multi-stage tournaments</title><source>SpringerLink Journals</source><creator>Csató, László</creator><creatorcontrib>Csató, László</creatorcontrib><description>Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least 2 teams from a group advance to the knockout stage where the brackets are predetermined. A model is developed to quantify the risk of tanking in these contests. The suggested approach is applied to the 2022 FIFA World Cup to uncover how its design could have been improved by changing group labelling (a reform that has received no attention before) and the schedule of group matches. Scheduling is found to be a surprisingly weak intervention compared to previous results on the risk of collusion in a group. The probability of tanking, which is disturbingly high around 25%, cannot be reduced by more than 3 percentage points via these policies. Tournament organisers need to consider more fundamental changes against tanking.</description><identifier>ISSN: 0254-5330</identifier><identifier>EISSN: 1572-9338</identifier><identifier>DOI: 10.1007/s10479-024-06311-y</identifier><language>eng</language><publisher>New York: Springer US</publisher><subject>Badminton ; Business and Management ; Collusion ; Combinatorics ; Design ; Labeling ; Operations research ; Operations Research/Decision Theory ; Original Research ; Risk ; Scheduling ; Soccer ; Tennis ; Theory of Computation ; Tournaments & championships</subject><ispartof>Annals of operations research, 2025, Vol.344 (1), p.135-151</ispartof><rights>The Author(s) 2024</rights><rights>Copyright Springer Nature B.V. Jan 2025</rights><lds50>peer_reviewed</lds50><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c244t-7d22af8452c3e3b087fa4cf6d2ede43fe0b30025774bd25b5ffd16654e8c55c93</cites><orcidid>0000-0001-8705-5036</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktopdf>$$Uhttps://link.springer.com/content/pdf/10.1007/s10479-024-06311-y$$EPDF$$P50$$Gspringer$$Hfree_for_read</linktopdf><linktohtml>$$Uhttps://link.springer.com/10.1007/s10479-024-06311-y$$EHTML$$P50$$Gspringer$$Hfree_for_read</linktohtml><link.rule.ids>314,776,780,27901,27902,41464,42533,51294</link.rule.ids></links><search><creatorcontrib>Csató, László</creatorcontrib><title>Mitigating the risk of tanking in multi-stage tournaments</title><title>Annals of operations research</title><addtitle>Ann Oper Res</addtitle><description>Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least 2 teams from a group advance to the knockout stage where the brackets are predetermined. A model is developed to quantify the risk of tanking in these contests. The suggested approach is applied to the 2022 FIFA World Cup to uncover how its design could have been improved by changing group labelling (a reform that has received no attention before) and the schedule of group matches. Scheduling is found to be a surprisingly weak intervention compared to previous results on the risk of collusion in a group. The probability of tanking, which is disturbingly high around 25%, cannot be reduced by more than 3 percentage points via these policies. Tournament organisers need to consider more fundamental changes against tanking.</description><subject>Badminton</subject><subject>Business and Management</subject><subject>Collusion</subject><subject>Combinatorics</subject><subject>Design</subject><subject>Labeling</subject><subject>Operations research</subject><subject>Operations Research/Decision Theory</subject><subject>Original Research</subject><subject>Risk</subject><subject>Scheduling</subject><subject>Soccer</subject><subject>Tennis</subject><subject>Theory of Computation</subject><subject>Tournaments & championships</subject><issn>0254-5330</issn><issn>1572-9338</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2025</creationdate><recordtype>article</recordtype><sourceid>C6C</sourceid><recordid>eNp9kE1LxDAURYMoOI7-AVcF19GXvKRplzKoI4y40XVI26RmPtoxSRfz7-1MBXeuHjzuuVwOIbcM7hmAeogMhCopcEEhR8bo4YzMmFSclojFOZkBl4JKRLgkVzGuAYCxQs5I-eaTb03yXZulL5sFHzdZ77Jkus3x57tsN2yTpzGZ1mapH0JndrZL8ZpcOLON9ub3zsnn89PHYklX7y-vi8cVrbkQiaqGc-MKIXmNFisolDOidnnDbWMFOgsVwrhOKVE1XFbSuYbluRS2qKWsS5yTu6l3H_rvwcak16cR26iRSQaocoAxxadUHfoYg3V6H_zOhINmoI-K9KRIj4r0SZE-jBBOUBzDXWvDX_U_1A8Oy2mQ</recordid><startdate>2025</startdate><enddate>2025</enddate><creator>Csató, László</creator><general>Springer US</general><general>Springer Nature B.V</general><scope>C6C</scope><scope>AAYXX</scope><scope>CITATION</scope><scope>7TA</scope><scope>7TB</scope><scope>8FD</scope><scope>FR3</scope><scope>JG9</scope><scope>JQ2</scope><scope>KR7</scope><orcidid>https://orcid.org/0000-0001-8705-5036</orcidid></search><sort><creationdate>2025</creationdate><title>Mitigating the risk of tanking in multi-stage tournaments</title><author>Csató, László</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c244t-7d22af8452c3e3b087fa4cf6d2ede43fe0b30025774bd25b5ffd16654e8c55c93</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2025</creationdate><topic>Badminton</topic><topic>Business and Management</topic><topic>Collusion</topic><topic>Combinatorics</topic><topic>Design</topic><topic>Labeling</topic><topic>Operations research</topic><topic>Operations Research/Decision Theory</topic><topic>Original Research</topic><topic>Risk</topic><topic>Scheduling</topic><topic>Soccer</topic><topic>Tennis</topic><topic>Theory of Computation</topic><topic>Tournaments & championships</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Csató, László</creatorcontrib><collection>Springer Nature OA Free Journals</collection><collection>CrossRef</collection><collection>Materials Business File</collection><collection>Mechanical & Transportation Engineering Abstracts</collection><collection>Technology Research Database</collection><collection>Engineering Research Database</collection><collection>Materials Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Civil Engineering Abstracts</collection><jtitle>Annals of operations research</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Csató, László</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Mitigating the risk of tanking in multi-stage tournaments</atitle><jtitle>Annals of operations research</jtitle><stitle>Ann Oper Res</stitle><date>2025</date><risdate>2025</risdate><volume>344</volume><issue>1</issue><spage>135</spage><epage>151</epage><pages>135-151</pages><issn>0254-5330</issn><eissn>1572-9338</eissn><abstract>Multi-stage tournaments consisting of a round-robin group stage followed by a knockout phase are ubiquitous in sports. However, this format is incentive incompatible if at least 2 teams from a group advance to the knockout stage where the brackets are predetermined. A model is developed to quantify the risk of tanking in these contests. The suggested approach is applied to the 2022 FIFA World Cup to uncover how its design could have been improved by changing group labelling (a reform that has received no attention before) and the schedule of group matches. Scheduling is found to be a surprisingly weak intervention compared to previous results on the risk of collusion in a group. The probability of tanking, which is disturbingly high around 25%, cannot be reduced by more than 3 percentage points via these policies. Tournament organisers need to consider more fundamental changes against tanking.</abstract><cop>New York</cop><pub>Springer US</pub><doi>10.1007/s10479-024-06311-y</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0001-8705-5036</orcidid><oa>free_for_read</oa></addata></record> |
fulltext | fulltext |
identifier | ISSN: 0254-5330 |
ispartof | Annals of operations research, 2025, Vol.344 (1), p.135-151 |
issn | 0254-5330 1572-9338 |
language | eng |
recordid | cdi_proquest_journals_3151037600 |
source | SpringerLink Journals |
subjects | Badminton Business and Management Collusion Combinatorics Design Labeling Operations research Operations Research/Decision Theory Original Research Risk Scheduling Soccer Tennis Theory of Computation Tournaments & championships |
title | Mitigating the risk of tanking in multi-stage tournaments |
url | https://sfx.bib-bvb.de/sfx_tum?ctx_ver=Z39.88-2004&ctx_enc=info:ofi/enc:UTF-8&ctx_tim=2025-02-08T02%3A51%3A14IST&url_ver=Z39.88-2004&url_ctx_fmt=infofi/fmt:kev:mtx:ctx&rfr_id=info:sid/primo.exlibrisgroup.com:primo3-Article-proquest_cross&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.genre=article&rft.atitle=Mitigating%20the%20risk%20of%20tanking%20in%20multi-stage%20tournaments&rft.jtitle=Annals%20of%20operations%20research&rft.au=Csat%C3%B3,%20L%C3%A1szl%C3%B3&rft.date=2025&rft.volume=344&rft.issue=1&rft.spage=135&rft.epage=151&rft.pages=135-151&rft.issn=0254-5330&rft.eissn=1572-9338&rft_id=info:doi/10.1007/s10479-024-06311-y&rft_dat=%3Cproquest_cross%3E3151037600%3C/proquest_cross%3E%3Curl%3E%3C/url%3E&disable_directlink=true&sfx.directlink=off&sfx.report_link=0&rft_id=info:oai/&rft_pqid=3151037600&rft_id=info:pmid/&rfr_iscdi=true |