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Related party transaction (Details) - USD ($)
$ in Millions
3 Months Ended 12 Months Ended
Dec. 31, 2018
Sep. 30, 2018
Jun. 30, 2018
Mar. 31, 2018
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2018
Dec. 31, 2017
Dec. 31, 2016
Related Party Transaction [Line Items]                      
Ceded Premiums Written                 $ 7,389 $ 7,132 $ 6,838
Losses and loss expenses $ 4,610 $ 4,868 $ 4,487 $ 4,102 $ 4,272 $ 6,247 $ 4,146 $ 3,789 18,067 18,454 16,052
Reinsurance recoverable on losses and loss expenses 15,993       15,034       15,993 15,034  
Insurance and reinsurance balances payable 6,437       5,868       6,437 5,868  
Net premiums written                 30,579 29,244 28,145
Starr Technical Risk Agency and Affiliates [Member]                      
Related Party Transaction [Line Items]                      
Premiums Written, Gross                 411 464 658
Ceded Premiums Written                 188 175 208
Paid commissions                 84 101 145
Commissions received                 42 37 56
Losses and loss expenses                 188 438 313
Reinsurance recoverable on losses and loss expenses 514       557       514 557  
Insurance and reinsurance balances payable 75       44       75 44  
Minimum Amount of Program Business to be Written to Earn Profit Sharing                 20    
ABR Reinsurance Capital Holdings Ltd. [Member]                      
Related Party Transaction [Line Items]                      
Ceded Premiums Written                 329 342 288
Commissions received                 96 94 $ 66
Reinsurance recoverable on losses and loss expenses 557       365       557 365  
Insurance and reinsurance balances payable $ 47       $ 51       $ 47 $ 51  
Equity Method Investment, Ownership Percentage 11.70%               11.70%    
Warrants & Rights Outstanding 0.50%               0.50%