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                                                                                                                                                                                                nature research | reporting summary
                                                                                                      Corresponding author(s): Oriol Vinyals
                                                                                                      Last updated by author(s): Oct 3, 2019


Reporting Summary
Nature Research wishes to improve the reproducibility of the work that we publish. This form provides structure for consistency and transparency
in reporting. For further information on Nature Research policies, see Authors & Referees and the Editorial Policy Checklist.




Statistics
For all statistical analyses, confirm that the following items are present in the figure legend, table legend, main text, or Methods section.
n/a Confirmed
           The exact sample size (n) for each experimental group/condition, given as a discrete number and unit of measurement
           A statement on whether measurements were taken from distinct samples or whether the same sample was measured repeatedly
           The statistical test(s) used AND whether they are one- or two-sided
           Only common tests should be described solely by name; describe more complex techniques in the Methods section.

           A description of all covariates tested
           A description of any assumptions or corrections, such as tests of normality and adjustment for multiple comparisons
           A full description of the statistical parameters including central tendency (e.g. means) or other basic estimates (e.g. regression coefficient)
           AND variation (e.g. standard deviation) or associated estimates of uncertainty (e.g. confidence intervals)

           For null hypothesis testing, the test statistic (e.g. F, t, r) with confidence intervals, effect sizes, degrees of freedom and P value noted
           Give P values as exact values whenever suitable.

           For Bayesian analysis, information on the choice of priors and Markov chain Monte Carlo settings
           For hierarchical and complex designs, identification of the appropriate level for tests and full reporting of outcomes
           Estimates of effect sizes (e.g. Cohen's d, Pearson's r), indicating how they were calculated
                                                 Our web collection on statistics for biologists contains articles on many of the points above.


Software and code
Policy information about availability of computer code
  Data collection              Data was collected using the publicly available version of StarCraft II (versions 4.8.2 to 4.10), developed by Blizzard Entertainment.

  Data analysis                We used the open source environment to interact with the game of StarCraft II, provided by Blizzard and DeepMind (https://github.com/
                               deepmind/pysc2), using the game version 4.10. The networks used the TensorFlow 1.0 library with custom extensions. Analysis was
                               performed with custom code written in Python 2.7. We additionally provide pseudocode for all algorithms described in the paper.
For manuscripts utilizing custom algorithms or software that are central to the research but not yet described in published literature, software must be made available to editors/reviewers.
We strongly encourage code deposition in a community repository (e.g. GitHub). See the Nature Research guidelines for submitting code & software for further information.


Data
Policy information about availability of data
 All manuscripts must include a data availability statement. This statement should provide the following information, where applicable:
     - Accession codes, unique identifiers, or web links for publicly available datasets
     - A list of figures that have associated raw data
     - A description of any restrictions on data availability



                                                                                                                                                                                                October 2018
We did provide both the raw data used in the paper from the online experiment, and all the evaluation games played in the StarCraft II standard Replay format. The
dataset containing all the replays used for imitation learning are distributed by Blizzard using a specific API: https://github.com/Blizzard/s2client-proto




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                                                                                                                                                                            nature research | reporting summary
Field-specific reporting
Please select the one below that is the best fit for your research. If you are not sure, read the appropriate sections before making your selection.
    Life sciences                       Behavioural & social sciences                   Ecological, evolutionary & environmental sciences
For a reference copy of the document with all sections, see nature.com/documents/nr-reporting-summary-flat.pdf




Life sciences study design
All studies must disclose on these points even when the disclosure is negative.
  Sample size              To study our agents performance, we played a total of 360 games online against the population of players that play StarCraft II in the
                           European servers. The sample size was determined with consultation with Blizzard and professional players, who deemed that 60 games
                           would be sufficient to estimate performance of a new professional level player reliably with low uncertainty (less than 50 MMR). We did play
                           90 games total, per race, plus 30, per race, for supervised agents. For the league analysis we used around 130,000,000 full games of agent vs
                           agent, and for ablations, we used around 20,000,000 games.

  Data exclusions          No data was excluded from the study.

  Replication              Because of the nature of the game, we did perform three independent experiments, using three distinct races. From the total of 9 runs, we
                           did not observe any significant deviation, and thus we reproduced the intended conditions of the experiment ourselves. Because we played
                           anonymously, reproducing the same conditions in future studies should be relatively easy, assuming care is taken to remain anonymous.

  Randomization            The players and order in which we played against them was determined by the matchmaking algorithm that Blizzard employs to create
                           matches in their online service, which was designed many years before our study, and which the authors of this manuscript had no control
                           over. Such system is solely based on the skill level of players, and is thus random and the authors of this manuscript were blind to group
                           allocation.

  Blinding                 The authors were blind to group allocation. See "Randomization".




Reporting for specific materials, systems and methods
We require information from authors about some types of materials, experimental systems and methods used in many studies. Here, indicate whether each material,
system or method listed is relevant to your study. If you are not sure if a list item applies to your research, read the appropriate section before selecting a response.

Materials & experimental systems                                  Methods
n/a Involved in the study                                         n/a Involved in the study
           Antibodies                                                        ChIP-seq
           Eukaryotic cell lines                                             Flow cytometry
           Palaeontology                                                     MRI-based neuroimaging
           Animals and other organisms
           Human research participants
           Clinical data




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