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Published byEaster Chandler Modified over 9 years ago
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THEORY OF THE PERFECT GAME © 2008 John Vrooman - Vanderbilt University USA
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COMPETITIVE BALANCE IN Monopoly SPORTS LEAGUES © 2008 John Vrooman - Vanderbilt University USA
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John Vrooman Vanderbilt University, USA © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 LEAGUE EQUILIBRIUM A cT MR 2 cT MR 1 w1w1 © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 REVENUE SHARING IN PROFIT LEAGUE A cT MR 2 cT MR 1 B MR 1 ′ MR 2 ′ w1w1 © 2008 John Vrooman - Vanderbilt University USA
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CT’ $M/w 2 $M/w 1 OPEN & CLOSED PROFIT LEAGUES A cT A’ CT’ MR 1 w1w1 MRP 2 MR 1 MRP 1 MR 2 © 2008 John Vrooman - Vanderbilt University USA
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CT ’ $M/w 2 $M/w 1 INVARIANCE PROPOSITION A cT A’ CT ’ MR 1 w1w1 MRP 2 MR 1 MRP 1 MR 2 MR 1 ′ MR 2 ′ MRP 1 ’ MRP 2 ’ B © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 PAYROLL CAP IN PROFIT LEAGUE A cT MR 2 cT MR 1 w1w1 CAP 1 C’T B © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 REVENUE SHARING & Payroll cap A cT MR 2 cT MR 1 C’ MR 1 ′ MR 2 ′ w1w1 CAP 1 B C C’T © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 REVENUE SHARING & Payroll MINIMUM A cT MR 2 cT MR 1 MR 1 ′ w1w1 CAP 1 B C MIN 2 C’T C’’T B’ MR 2 ′ © 2008 John Vrooman - Vanderbilt University USA
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$M/w 2 $M/w 1 REVENUE SHARING & Payroll MINIMUM A cT MR 2 cT MR 1 MR 1 ′ w1w1 MIN 1 B MIN 2 C’T C’’T B’ MR 2 ′ © 2008 John Vrooman - Vanderbilt University USA
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AR 1 MR 2 A cT AR 2 MR 1 $M/w 2 $M/w 1 SPORTSMAN WIN-MAX LEAGUE B cT © 2008 John Vrooman - Vanderbilt University USA
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AR 1 AR 2 ’ A cT AR 1 ’ $M/w 2 $M/w 1 SPORTSMAN REVENUE SHARING B cT AR 2 © 2008 John Vrooman - Vanderbilt University USA
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AR 1 A C’T AR 2 $M/w 2 $M/w 1 SPORTSMAN PAYROLL CAP C’T CAP 2 CAP 1 B c’T © 2008 John Vrooman - Vanderbilt University USA
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AR 1 AR 2 ’ A cT AR 2 AR 1 ’ $M/w 2 $M/w 1 REVENUE SHARING & PAYROLL CAP B cT CAP 2 CAP 1 C’T C © 2008 John Vrooman - Vanderbilt University USA
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w t = w t -1 w t = a + b w t-1 + e t w t =.500 Win t Win t -1 b = 0 b = 1 a a = 0 a =.500 Beta Balance © 2008 John Vrooman - Vanderbilt University USA
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National Football League © 2008 John Vrooman - Vanderbilt University USA
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Major League Baseball © 2008 John Vrooman - Vanderbilt University USA
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National Basketball Association © 2008 John Vrooman - Vanderbilt University USA
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National Hockey League © 2008 John Vrooman - Vanderbilt University USA
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English Premier League © 2008 John Vrooman - Vanderbilt University USA
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French Ligue 1 © 2008 John Vrooman - Vanderbilt University USA
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German Bundesliga © 2008 John Vrooman - Vanderbilt University USA
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Italian Serie A © 2008 John Vrooman - Vanderbilt University USA
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La Liga Española © 2008 John Vrooman - Vanderbilt University USA
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Finis © 2008 John Vrooman - Vanderbilt University USA
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