Abstract
The transformation of characteristic functions is an effective way to avoid time-inconsistency of cooperative solutions in dynamic games. There are several forms on the transformation of characteristic functions. In this paper, a class of general transformation of characteristic functions is proposed. It can lead to the time-consistency of cooperative solutions and guarantee that the irrational-behavior-proof conditions hold true. To illustrate the theory, an example of dynamic game on a tree is given.
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This research was supported by the National Natural Science Foundation of China under Grant No. 71571108, China Postdoctoral Science Foundation Funded Project under Grant No. 2016M600525, Qingdao Postdoctoral Application Research Project under Grant No. 2016029.
This paper was recommended for publication by Editor WANG Shouyang.
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Liu, C., Gao, H., Petrosian, O. et al. A Class of General Transformation of Characteristic Functions in Dynamic Games. J Syst Sci Complex 33, 1997–2012 (2020). https://doi.org/10.1007/s11424-020-9069-0
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DOI: https://doi.org/10.1007/s11424-020-9069-0