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Accumulated other comprehensive income | 3 Months Ended | 12 Months Ended
--- | --- | ---
Mar. 31, 2021 | Dec. 31, 2020
Accumulated other comprehensive income | Note 9: Accumulated other comprehensive income Changes in accumulated other comprehensive income (“AOCI”) by component for the three months ended March 31, 2021 were as follows (in thousands):
Three months ended March 31, 2020 |  | Currency translation adjustments |  |  | Defined benefit pension plan |  |  | Total |
Balance as of January 1, 2020 |  | $ | 10,131 |  |  | $ | (698 | ) |  | $ | 9,433 |
Foreign currency translation gain/(loss) |  |  | 9,565 |  |  |  |  |  |  |  | 9,565 |
Actuarial gain/(loss), net of tax expense of $8 |  |  |  |  |  |  | (26 | ) |  |  | (26 | )
Balance as of March 31, 2020 |  | $ | 19,696 |  |  | $ | (724 | ) |  | $ | 18,972 |
Three months ended March 31, 2021 |  | Currency translation adjustments |  |  | Defined benefit pension plan |  |  | Total |
Balance as of January 1, 2021 |  | $ | 23,807 |  |  | $ | (992 | ) |  | $ | 22,815 |
Foreign currency translation gain/(loss) |  |  | 1,329 |  |  |  |  |  |  |  | 1,329 |
Actuarial gain/(loss), net of tax expense of $14 |  |  |  |  |  |  | (55 | ) |  |  | (55 | )
Balance as of March 31, 2021 |  | $ | 25,136 |  |  | $ | (1,047 | ) |  | $ | 24,089 |
We do not tax effect foreign currency translation gain/(loss) because we have determined such gain (loss) is permanently reinvested. | Note 9: Accumulated other comprehensive income Changes in accumulated other comprehensive income (AOCI) by component for the years ended December 31, 2020 and 2019 were as follows (in thousands):
|  | Currency Translation Adjustments |  |  | Defined Benefit Pension Plan |  |  | Total |
Balance at January 1, 2019 |  | $ | 389 |  |  | $ | (313 | ) |  | $ | 76 |
Foreign currency translation gain/(loss) |  |  | 9,742 |  |  |  | — |  |  |  | 9,742 |
Actuarial gain/(loss), net of tax |  |  | — |  |  |  | (385 | ) |  |  | (385 | )
Balance as of December 31, 2019 |  | $ | 10,131 |  |  | $ | (698 | ) |  | $ | 9,433 |
Foreign currency translation gain/(loss) |  |  | 13,676 |  |  |  | — |  |  |  | 13,676 |
Actuarial gain/(loss), net of tax |  |  | — |  |  |  | (294 | ) |  |  | (294 | )
Balance at December 31, 2020 |  | $ | 23,807 |  |  | $ | (992 | ) |  | $ | 22,815 |
For years ended December 31, 2020 and 2019, we did not tax effect foreign currency translation gain/(loss) because we have determined such gain/(loss) is permanently reinvested and actuarial gain/(loss) is not tax effected due to a valuation allowance applied to our deferred tax assets.

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- Definition Accumulated Other Comprehensive Income [Text Block] + References No definition available. + Details
Name: | ddi_AccumulatedOtherComprehensiveIncomeTextBlock
Namespace Prefix: | ddi_
Data Type: | nonnum:textBlockItemType
Balance Type: | na
Period Type: | duration