Starcraft II is a hugely popular online, real-time strategy game, which provides a good testing ground for AI systems. As DeepMind wrote when announcing their Starcraft II project:
"[...] while the objective of the game is to beat the opponent, the player must also carry out and balance a number of sub-goals, such as gathering resources or building structures. In addition, a game can take from a few minutes to one hour to complete, meaning actions taken early in the game may not pay-off for a long time. Finally, the map is only partially observed, meaning agents must use a combination of memory and planning to succeed."
Note that this question does not just ask when Starcraft can be solved with any amount of effort, but rather relativises the performance to a publicly verifiable benchmark. We shall say that the game is solved when the agent is at least as good as the best human.
Resolution date will be set to the earliest of the following dates:
Publication date of a credible paper, blog-post, video or similar demonstrating an AI achieving the feat in question
A date earlier than the publication date, but referenced in a credible paper, blog-post, video or similar, by which the feat was achieved (similar to how DeepMind kept AlphaGo's victory over European champion Fan Hui secret from October 2015 to January 2016, in order to coincide with the publication of the corresponding Nature paper)
A date such that an expert council of technical AI researchers agree (by majority vote) that it is >=95% likely that the feat could have been carried out by that date. This means not just the date when the computational resources and algorithmic insights were available, but the date were they could have been fully deployed to solve the problem. For example, think the end and not the beginning of the AlphaGo project.  
The $10,000 are 2018 US dollars.