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Losses and Loss Expenses - Net losses and loss expenses incurred (Details) - USD ($)
$ in Thousands
12 Months Ended
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Liability for Claims and Claims Adjustment Expense [Abstract]      
Loss and loss expenses payments $ 8,037,317 $ 6,828,012 $ 6,505,075
Change in unpaid losses and loss expenses 3,184,307 976,401 (168,263)
Change in unpaid losses and loss expenses recoverable (1,646,432) (238,086) (440,189)
Paid loss recoveries (1,573,272) (1,493,492) (1,130,423)
Net losses and loss expenses incurred $ 8,001,920 $ 6,072,835 $ 4,766,200