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Investments of Operating Entities and Consolidated Funds - Consolidated Funds - Securities Owned and Sold By Merger Master (Details) - USD ($)
Sep. 30, 2020
Dec. 31, 2019
Investment Holdings [Line Items]    
Securities owned, at fair value ($254,383 and $941,595 were pledged to various parties) $ 1,088,566,000 $ 1,633,552,000
Securities sold, not yet purchased, at fair value 440,930,000 451,836,000
Portfolio Funds, Consolidated Funds 98,267,000 175,769,000
Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($254,383 and $941,595 were pledged to various parties)   79,353,000
Securities sold, not yet purchased, at fair value   68,150,000
Merger Fund    
Investment Holdings [Line Items]    
Portfolio Funds, Consolidated Funds 0 76,616,000
Common Stock    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value 404,409,000 425,448,000
Common Stock | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($254,383 and $941,595 were pledged to various parties)   76,531,000
Securities sold, not yet purchased, at fair value   29,623,000
Warrants and Rights [Member]    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value 8,930,000 14,819,000
Warrants and Rights [Member] | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($254,383 and $941,595 were pledged to various parties)   748,000
Corporate Bonds    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value $ 15,324,000 5,933,000
Corporate Bonds | Merger Master    
Investment Holdings [Line Items]    
Securities owned, at fair value ($254,383 and $941,595 were pledged to various parties)   2,074,000
Exchange Traded Funds | Merger Master    
Investment Holdings [Line Items]    
Securities sold, not yet purchased, at fair value   $ 38,527,000