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. 2018 Jan 16;9:233. doi: 10.1038/s41467-017-02597-8

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© The Author(s) 2018

Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons license and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this license, visit http://creativecommons.org/licenses/by/4.0/.

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Fig. 9 — Target solutions computed by S++. The x’s and o’s are the joint payoffs of possible target solutions computed by S++. Though games vary widely, the possible target solutions computed by S++ in each game represent a range of different compromises, of varying degrees of fairness, that the two players could possibly agree upon. For example, tradeoffs in solution quality are similar for a a 0-1-3-5 Prisoner’s Dilemma and b a more complex micro-grid scenario⁴⁴. Solutions marked in red are selected by S++ as target solutions