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Investments of Operating Entities and Consolidated Funds - Consolidated Funds - Securities Owned and Sold By Merger Master (Details) - USD ($)
Mar. 31, 2020
Dec. 31, 2019
Investment Holdings [Line Items]    
Securities owned, at fair value ($200,278 and $941,595 were pledged to various parties) $ 776,046,000 $ 1,633,552,000
Securities sold, not yet purchased, at fair value 527,471,000 451,836,000
Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($200,278 and $941,595 were pledged to various parties) 179,326,000 79,353,000
Securities sold, not yet purchased, at fair value 37,082,000 68,150,000
Common Stock    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value 460,059,000 425,448,000
Common Stock | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($200,278 and $941,595 were pledged to various parties) 175,892,000 76,531,000
Securities sold, not yet purchased, at fair value 30,184,000 29,623,000
Warrants and Rights [Member]    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value 8,532,000 14,819,000
Warrants and Rights [Member] | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($200,278 and $941,595 were pledged to various parties) 1,365,000 748,000
Corporate Bonds    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value [1] 4,402,000 5,933,000
Corporate Bonds | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($200,278 and $941,595 were pledged to various parties) 2,069,000 2,074,000
Exchange Traded Funds | Merger Master    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value $ 6,898,000 $ 38,527,000
[1] As of March 31, 2020, the maturities ranged from April 2020 to May 2067 and interest rates ranged from 5.00% to 6.75%. As of December 31, 2019, the maturities ranged from January 2024 to May 2037 and interest rates ranged from 4.88% to 6.25%.