Unraveling Yields Inefficient Matchings: Evidence from Post-Season College Football Bowls by Guillaume Frechette Alvin E. Roth M.

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Online Supplementary Material for Unraveling Yields Inefficient Matchings: Evidence from Post-Season College Football s by Guillaume Frechette Alvin E. Roth M. Utku Ünver Appendix 1 Table 6. End-of-Regular-Season AP Rankings of Teams that Participated in the s Year Rose Cotton Winner Loser Winner Loser Winner Loser Winner Loser Winner Loser 1977 13 4 8 15 6 3 9 5 1 1978 3 5 8 15 4 6 1 10 9 1979 3 1 10 6 5 4 6 8 7 1980 5 16 10 11 4 1 7 9 6 1981 1 13 7 8 1 4 10 6 3 198 5 19 11 1 3 13 1 4 6 1983 6 4 14 15 5 1 3 8 7 1984 18 6 14 13 4 5 11 8 6 1985 13 4 5 7 3 1 8 11 16 1986 7 4 1 3 9 6 5 11 8 1987 8 16 3 5 1 4 6 13 1 1988 11 5 1 3 6 4 7 9 8 1989 1 3 5 6 4 1 7 8 10 1990 8 17 18 5 1 5 10 6 4 3 1991 4 6 10 1 11 18 3 5 9 199 7 9 6 10 3 11 1 5 4 1993 9 14 16 10 1 8 3 4 7 1994 1 4 6 1 3 7 5 1 6 1995 17 3 1 8 6 13 9 7 1 1996 4 7 0 6 10 3 1 5 14 1997 1 9 8 1 7 3 1 5 0 1998 9 6 1 7 18 3 8 0 5 1999 4 3 6 8 5 1 4 14 000 4 14 5 10 1 3 7 11 1 001 1 4 3 5 6 1 7 10 6 00 8 7 1 5 3 4 16 9 6 003 1 4 7 8 10 9 3 16 1 004 6 13 5 19 1 3 9 15 005 1 4 5 3 11 8 13 18 1

Table 7. Nielsen Ratings of College s and Super (%) Year Rose Cotton Super 1985.7 14.7 1.3 6.8 1.7 48.3 1986 17.7 4.9 16 8.6 13.6 45.8 1987 16.5 8.7 0.8 7.9 10 41.9 1988 10.8 17 1.9 8.1 9.8 43.5 1989 14.6 8.8 18.5 7.4 7.5 39 1990 11.9 6. 18.3 4.9 9.4 41.9 1991 15.4 7 11 10.8 10.3 40.3 199 14.3 6. 4 18. 10. 45.1 1993 11.3 7.9 17.8 5. 11.3 45.5 1994 18. 6 11.4 14.9 4.6 41.3 1995 19. 18.8 1.5 6.3 5.6 46.0 1996 16.5 10 7.8 17.9 5.6 43.3 1997 17.6 5.8 13.3 11. 6. 44.5 1998 13.3 17. 8.4 11.5 4.1 40. 1999 14.1 9.6 11.4 17.5 4.1 43.3 000 14 10.7 17.8 13 4.4 40.4 001 13.8 11.3 9.5 8.6 4.3 40.4 00 11.3 17. 9.7 9. 3.4 40.7 003 14.3 8.5 9.1 14.8 4.3 41.4 004 1.4 7.4 13.7 9.5.6 41.1 005 1.7 1.9 1.3 9 3.7 41.6

Table 8: Possibility of creating a match-up between the number 1 and number teams in the AP Sports Writers Poll rankings in a bowl game: Regime Precoalition Era Years Ranked No. 1 Ranked No. Possible to match? Actually 1977 Texas Southwest Oklahoma Big Eight - 1978 1979 Penn Ohio 1980 Georgia Alabama Big Ten Alabama - ACC 1 1981 Clemson ACC Georgia 198 Georgia Penn 1983 Nebraska Big Eight Texas Southwest - 1984 BYU Western Oklahoma Big Eight - 1985 Penn 1986 Miami Miami Penn Why not possible to match / Why not Southwest Conf. champion was precommitted to Cotton and Big Eight champion was precommitted to Big Ten champion was pre-committed to Rose, which was a closed bowl and Conf. champion was precommitted to Big Eight champion was pre-committed to and Southwest Conf. champion was precommitted to Cotton Western Conf. champion was pre-committed to Holiday and Big Eight champion was precommitted to 1 In the pre-coalitions era, although the ACC champion was not an at-large team, escape clauses in the agreement of ACC with the Citrus made it possible that the ACC champion could play at a different bowl when it had a shot at the national championship. 3

Regime BC BA BCS Years Ranked No. 1 Ranked No. 1987 Oklahoma Big Eight Miami 1988 Notre Dame Miami 1989 Colorado Big Eight Miami 1990 Colorado Big Eight 1991 Miami 199 Miami 1993 1994 Nebraska 1995 Nebraska 1996 (atlarge) ACC Big Eight Big Eight (BA) ACC (BA) Georgia Tech ACC Possible to match? Actually Washington - Alabama Nebraska Big Eight Penn Big Ten - Arizona 1997 Michigan Big Ten Nebraska 1998 Tennessee 1999 000 Oklahoma 001 Miami 00 Miami 003 USC 004 USC ACC Virginia Tech Miami Oregon Ohio LSU Oklahoma (BA) Why not possible to match / Why not - (BA) ACC Big Ten - - - - champion was pre-committed to Rose, which was a closed bowl Big Ten was not part of Coalition was not part of Alliance Big Ten was not part of Alliance AP and BCS rankings differ. AP and BCS rankings differ. AP and BCS rankings differ. 4

Regime Years Ranked No. 1 005 USC Ranked No. Texas Possible to match? Rose Actually Why not possible to match / Why not 5

Appendix 3 Table 5.1 replicates the specifications 5, 6, and 7 of Table 5 (in the text) using only the data prior to the formation of the first coalition (in 199). Over that period, only one bowl for which we have the Nielsen rating had an unranked team playing, hence that bowl is dropped as well as the associated regressors from specifications 5, 6, and 7. Table 5.. Estimates of the Determinants of Nielsen Rating of a : Pre-Coalition Era Nielsen Rating of a Regressors: Spec. (5.) Spec. (6.) Spec. (7.) Championship (No. 1 vs. No. ) 4.703* 5.08* 4.359 (.169) (.86) (.56) No. 1 Ranked Team 5.71** 5.39** 5.88** (1.756) (1.76) (1.906) Average Rank (if unranked -0.43* -0.196-0.7 Team Is not playing) (0.11) (0.115) (0.19) Difference in Rank (if unranked 0.54** 0.154 0.75 Team is not playing) (0.096) (0.114) (0.47) Regular Season College Football 1.338.33 Average Nielsen Rating (1.1) (1.318) Super s Nielsen Rating 0.187 0.386 (0.135) (0.06) 3.81.906 3.313* (1.85) (.03) (1.779) 4.306* 4.60* 4.00** (1.947) (.07) (1.876) Rose 7.960*** 7.954** 7.900*** (.046) (.149) (1.504) Cotton 4.053** 3.586* 4.108** (1.33) (1.601) (1.878) Year -0.455*** (0.11) 1986-1988 0.377 (0.771) 1989-1991 0.635 (1.3) Constant -6.647 -.81** 8.10*** (5.375) (7.748) (1.535) Team Dummies No No No Time Fixed Effects No No Yes Observations 105 105 105 Robust standard errors in parentheses * significant at 10%; ** significant at 5%; *** significant at 1% 6