Wednesday, March 16, 2011

March Madness Bracket Probabilities (2011)

The Financial Markets Program at the University of Chicago - together with Carlton Chin, a fund manager - devised a March Madness pool -- that models each game as a financial marketplace.  The pool is being run "round-by-round" so it can generate fresh pricing as each round develops. 

The points awarded for correct selections -- are based on market participant entries.  As a result, the final price for each game can be used as a proxy for the probability of a team advancing to the next round.  Below is a table that shows the final pricing for the first round's match-ups.  It is interesting that our financial marketplace model produced probabilities similar to projections from various sources, including the New York Times 538 forecast -- even with a relatively small sample size of just under 40 data points.  The pool is designed to study:  

  • Financial marketplaces and market pricing.
  • Ideas of game theory.
  • Concepts of contrarian methods.

For more information - please visit the March Madness link at CARATcapital.com.  Please also visit this summary of the March Madness Pool.


Financial Markets Program: First Round Final Prices 
(Proxy for Probability of Advancing to Next Round)


Region
Seed
Team
Official Final Price (1st Rd)
  SW
1
Kansas
94.80
SW
16
Boston U
5.20




SW
8
UNLV
52.20
SW
9
Illinois
47.80




SW
5
Vanderbilt
53.20
SW
12
Richmond
46.80




SW
4
Louisville
83.90
SW
13
Morehead St
16.10




SW
6
Georgetown
65.60
SW
11
TBD
34.40




SW
3
Purdue
89.25
SW
14
St. Peters
10.75




SW
7
Texas A&M
44.40
SW
10
Florida St
55.60




SW
2
Notre Dame
90.10
SW
15
Akron
9.90








W
1
Duke
92.95
W
16
Hampton
7.05




W
8
Michigan
43.05
W
9
Tennessee
56.95




W
5
Arizona
66.95
W
12
Memphis
33.05




W
4
Texas
77.65
W
13
Oakland
22.35




W
6
Cincinnati
40.20
W
11
Missouri
59.80




W
3
Connecticut
85.40
W
14
Bucknell
14.60




W
7
Temple
50.10
W
10
Penn St
49.90




W
2
San Diego St
90.25
W
15
No. Colorado
9.75








E
1
Ohio St
93.95
E
16
Play-in Winner
6.05




E
8
George Mason
47.60
E
9
Villanova
52.40




E
5
West Virginia
75.35
E
12
Play-in Winner
24.65




E
4
Kentucky
86.90
E
13
Princeton
13.10




E
6
Xavier
48.95
E
11
Marquette
51.05




E
3
Syracuse
83.55
E
14
Indiana St
16.45




E
7
Washington
60.20
E
10
Georgia
39.80




E
2
North Carolina
94.30
E
15
Long Island
5.70








SE
1
Pittsburgh
92.45
SE
16
TBD
7.55




SE
8
Butler
42.20
SE
9
Old Dominion
57.80




SE
5
Kansas St
47.75
SE
12
Utah St
52.25




SE
4
Wisconsin
64.60
SE
13
Belmont
35.40




SE
6
St. Johns
50.30
SE
11
Gonzaga
49.70




SE
3
BYU
78.20
SE
14
Wofford
21.80




SE
7
UCLA
45.95
SE
10
Michigan St
54.05




SE
2
Florida
93.15
SE
15
UC Santa Barb
6.85