Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles
Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whe...
Ausführliche Beschreibung
Gespeichert in:
| Autor*in: |
Hammond, Thomas H. [verfasserIn] |
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| Format: |
Artikel |
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| Sprache: |
Englisch |
| Erschienen: |
2007 |
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| Schlagwörter: |
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| Anmerkung: |
© Springer Science+Business Media, BV 2007 |
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| Übergeordnetes Werk: |
Enthalten in: Public choice - Springer US, 1968, 133(2007), 3-4 vom: 18. Juli, Seite 359-375 |
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| Übergeordnetes Werk: |
volume:133 ; year:2007 ; number:3-4 ; day:18 ; month:07 ; pages:359-375 |
| Links: |
|---|
| DOI / URN: |
10.1007/s11127-007-9193-6 |
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| Katalog-ID: |
OLC2061960413 |
|---|
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| 520 | |a Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. | ||
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10.1007/s11127-007-9193-6 doi (DE-627)OLC2061960413 (DE-He213)s11127-007-9193-6-p DE-627 ger DE-627 rakwb eng 330 VZ Hammond, Thomas H. verfasserin aut Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, BV 2007 Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. Social choice theory Sports Cross-country meets Transitivity Independence from irrelevant teams Enthalten in Public choice Springer US, 1968 133(2007), 3-4 vom: 18. Juli, Seite 359-375 (DE-627)129497630 (DE-600)207597-0 (DE-576)014896680 0048-5829 nnns volume:133 year:2007 number:3-4 day:18 month:07 pages:359-375 https://doi.org/10.1007/s11127-007-9193-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-POL SSG-OLC-WIW GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4393 GBV_ILN_4700 AR 133 2007 3-4 18 07 359-375 |
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10.1007/s11127-007-9193-6 doi (DE-627)OLC2061960413 (DE-He213)s11127-007-9193-6-p DE-627 ger DE-627 rakwb eng 330 VZ Hammond, Thomas H. verfasserin aut Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, BV 2007 Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. Social choice theory Sports Cross-country meets Transitivity Independence from irrelevant teams Enthalten in Public choice Springer US, 1968 133(2007), 3-4 vom: 18. Juli, Seite 359-375 (DE-627)129497630 (DE-600)207597-0 (DE-576)014896680 0048-5829 nnns volume:133 year:2007 number:3-4 day:18 month:07 pages:359-375 https://doi.org/10.1007/s11127-007-9193-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-POL SSG-OLC-WIW GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4393 GBV_ILN_4700 AR 133 2007 3-4 18 07 359-375 |
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10.1007/s11127-007-9193-6 doi (DE-627)OLC2061960413 (DE-He213)s11127-007-9193-6-p DE-627 ger DE-627 rakwb eng 330 VZ Hammond, Thomas H. verfasserin aut Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, BV 2007 Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. Social choice theory Sports Cross-country meets Transitivity Independence from irrelevant teams Enthalten in Public choice Springer US, 1968 133(2007), 3-4 vom: 18. Juli, Seite 359-375 (DE-627)129497630 (DE-600)207597-0 (DE-576)014896680 0048-5829 nnns volume:133 year:2007 number:3-4 day:18 month:07 pages:359-375 https://doi.org/10.1007/s11127-007-9193-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-POL SSG-OLC-WIW GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4393 GBV_ILN_4700 AR 133 2007 3-4 18 07 359-375 |
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10.1007/s11127-007-9193-6 doi (DE-627)OLC2061960413 (DE-He213)s11127-007-9193-6-p DE-627 ger DE-627 rakwb eng 330 VZ Hammond, Thomas H. verfasserin aut Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, BV 2007 Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. Social choice theory Sports Cross-country meets Transitivity Independence from irrelevant teams Enthalten in Public choice Springer US, 1968 133(2007), 3-4 vom: 18. Juli, Seite 359-375 (DE-627)129497630 (DE-600)207597-0 (DE-576)014896680 0048-5829 nnns volume:133 year:2007 number:3-4 day:18 month:07 pages:359-375 https://doi.org/10.1007/s11127-007-9193-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-POL SSG-OLC-WIW GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4393 GBV_ILN_4700 AR 133 2007 3-4 18 07 359-375 |
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10.1007/s11127-007-9193-6 doi (DE-627)OLC2061960413 (DE-He213)s11127-007-9193-6-p DE-627 ger DE-627 rakwb eng 330 VZ Hammond, Thomas H. verfasserin aut Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles 2007 Text txt rdacontent ohne Hilfsmittel zu benutzen n rdamedia Band nc rdacarrier © Springer Science+Business Media, BV 2007 Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. Social choice theory Sports Cross-country meets Transitivity Independence from irrelevant teams Enthalten in Public choice Springer US, 1968 133(2007), 3-4 vom: 18. Juli, Seite 359-375 (DE-627)129497630 (DE-600)207597-0 (DE-576)014896680 0048-5829 nnns volume:133 year:2007 number:3-4 day:18 month:07 pages:359-375 https://doi.org/10.1007/s11127-007-9193-6 lizenzpflichtig Volltext GBV_USEFLAG_A SYSFLAG_A GBV_OLC SSG-OLC-POL SSG-OLC-WIW GBV_ILN_26 GBV_ILN_31 GBV_ILN_32 GBV_ILN_39 GBV_ILN_62 GBV_ILN_65 GBV_ILN_70 GBV_ILN_2006 GBV_ILN_2007 GBV_ILN_2012 GBV_ILN_2020 GBV_ILN_4012 GBV_ILN_4028 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4193 GBV_ILN_4318 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4393 GBV_ILN_4700 AR 133 2007 3-4 18 07 359-375 |
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Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles |
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Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles |
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rank injustice?: how the scoring method for cross-country running competitions violates major social choice principles |
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Rank injustice?: How the scoring method for cross-country running competitions violates major social choice principles |
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Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. © Springer Science+Business Media, BV 2007 |
| abstractGer |
Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. © Springer Science+Business Media, BV 2007 |
| abstract_unstemmed |
Abstract The scoring method used by high schools and colleges in the U.S. to determine which team wins a cross-country meet can violate a major social choice principle, referred to here as Independence from Irrelevant Teams: whether team A is scored as defeating or losing to team B can depend on whether team C’s performance is included in the calculations. In addition, if a three-way meet is scored as three dual meets, the scoring method can produce a cycle, thereby violating the principle of Transitivity: team A beats team B, team B beats team C, but team C beats team A. Real-world violations of Independence and Transitivity are reported from a high school cross-country meet held in Michigan in the U.S. in 2003. Several results are presented about the conditions under which these two principles can be violated. An alternative scoring method that will violate neither Independence nor Transitivity is also discussed and evaluated. © Springer Science+Business Media, BV 2007 |
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