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Segment information (Segment geographic) (Details) - USD ($)
$ in Thousands
 3 Months Ended 12 Months Ended
Dec. 31, 2017
Sep. 30, 2017
Jun. 30, 2017
Mar. 31, 2017
Dec. 31, 2016
Sep. 30, 2016
Jun. 30, 2016
Mar. 31, 2016
Dec. 31, 2017
Dec. 31, 2016
Dec. 31, 2015
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written $ 443,323 $ 523,856 $ 792,902 $ 1,190,857 $ 339,454 $ 372,418 $ 764,042 $ 1,172,791 $ 2,950,938 $ 2,648,705 $ 2,557,506
Percent of gross premiums written                 100.00% 100.00% 100.00%
United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 1,230,041 $ 937,587 $ 954,311
Percent of gross premiums written                 41.70% 35.40% 37.30%
Worldwide excluding United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 204,532 $ 221,766 $ 187,321
Percent of gross premiums written                 6.90% 8.40% 7.30%
Australia and New Zealand                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 18,924 $ 23,049 $ 21,544
Percent of gross premiums written                 0.60% 0.90% 0.80%
Europe                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 72,011 $ 65,781 $ 88,266
Percent of gross premiums written                 2.40% 2.50% 3.50%
Latin America and Caribbean                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 131,450 $ 140,395 $ 134,133
Percent of gross premiums written                 4.50% 5.30% 5.20%
Japan                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 51,861 $ 49,867 $ 45,618
Percent of gross premiums written                 1.80% 1.90% 1.80%
Canada                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 11,648 $ 10,243 $ 10,022
Percent of gross premiums written                 0.40% 0.40% 0.40%
Rest of world                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 112,834 $ 127,252 $ 121,075
Percent of gross premiums written                 3.80% 4.80% 4.70%
Sub-total, non United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 603,260 $ 638,353 $ 607,979
Percent of gross premiums written                 20.40% 24.10% 23.80%
Worldwide including United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 457,886 $ 424,646 $ 338,345
Percent of gross premiums written                 15.50% 16.00% 13.20%
Other location non-specific                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 659,751 $ 648,119 $ 656,871
Percent of gross premiums written                 22.40% 24.50% 25.70%
Operating Segments | Reinsurance Segment                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 1,195,207 $ 1,184,912 $ 1,194,589
Operating Segments | Reinsurance Segment | United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 418,814 464,212 544,783
Operating Segments | Reinsurance Segment | Worldwide excluding United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 47,467 53,369 54,293
Operating Segments | Reinsurance Segment | Australia and New Zealand                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 4,072 7,402 12,480
Operating Segments | Reinsurance Segment | Europe                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 39,334 32,875 53,653
Operating Segments | Reinsurance Segment | Latin America and Caribbean                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 49,297 52,080 48,923
Operating Segments | Reinsurance Segment | Japan                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 43,002 42,045 40,467
Operating Segments | Reinsurance Segment | Canada                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 6,284 4,365 3,830
Operating Segments | Reinsurance Segment | Rest of world                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 21,927 21,142 18,351
Operating Segments | Reinsurance Segment | Sub-total, non United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 211,383 213,278 231,997
Operating Segments | Reinsurance Segment | Worldwide including United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 188,383 159,313 128,211
Operating Segments | Reinsurance Segment | Other location non-specific                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 376,627 348,109 289,598
Operating Segments | Insurance Segment                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 1,453,133 1,194,137 1,191,199
Operating Segments | Insurance Segment | United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 701,669 408,609 368,394
Operating Segments | Insurance Segment | Worldwide excluding United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 148,598 146,191 124,921
Operating Segments | Insurance Segment | Australia and New Zealand                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 12,849 10,698 8,440
Operating Segments | Insurance Segment | Europe                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 32,047 29,661 32,109
Operating Segments | Insurance Segment | Latin America and Caribbean                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 82,107 88,315 85,172
Operating Segments | Insurance Segment | Japan                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 5,004 4,601 3,480
Operating Segments | Insurance Segment | Canada                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 4,633 5,671 5,734
Operating Segments | Insurance Segment | Rest of world                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 90,907 106,110 102,724
Operating Segments | Insurance Segment | Sub-total, non United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 376,145 391,247 362,580
Operating Segments | Insurance Segment | Worldwide including United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 99,377 95,826 98,019
Operating Segments | Insurance Segment | Other location non-specific                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 275,942 298,455 362,206
Operating Segments | Asset Management Segment                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 312,819 270,402 176,126
Operating Segments | Asset Management Segment | United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 119,779 64,766 41,134
Operating Segments | Asset Management Segment | Worldwide excluding United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 8,467 22,206 8,107
Operating Segments | Asset Management Segment | Australia and New Zealand                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 2,003 4,949 624
Operating Segments | Asset Management Segment | Europe                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 630 3,245 2,504
Operating Segments | Asset Management Segment | Latin America and Caribbean                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 46 0 38
Operating Segments | Asset Management Segment | Japan                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 3,855 3,221 1,671
Operating Segments | Asset Management Segment | Canada                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 731 207 458
Operating Segments | Asset Management Segment | Rest of world                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Operating Segments | Asset Management Segment | Sub-total, non United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 15,732 33,828 13,402
Operating Segments | Asset Management Segment | Worldwide including United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 170,126 170,253 116,523
Operating Segments | Asset Management Segment | Other location non-specific                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 7,182 1,555 5,067
Eliminations                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 (10,221) (746) (4,408)
Eliminations | United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 (10,221) 0 0
Eliminations | Worldwide excluding United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Australia and New Zealand                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Europe                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Latin America and Caribbean                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Japan                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Canada                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Rest of world                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Sub-total, non United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 0 0
Eliminations | Worldwide including United States                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 0 (746) (4,408)
Eliminations | Other location non-specific                      
Gross premiums written allocated to the territory of coverage exposure                      
Gross premiums written                 $ 0 $ 0 $ 0