A Class of General Transformation of Characteristic Functions in Dynamic Games

LIU Cui · GAO Hongwei · PETROSIAN Ovanes · LIU Ying · WANG Lei

Journal of Systems Science & Complexity ›› 2020, Vol. 33 ›› Issue (6) : 1997-2012.

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PDF(229 KB)
Journal of Systems Science & Complexity ›› 2020, Vol. 33 ›› Issue (6) : 1997-2012. DOI: 10.1007/s11424-020-9069-0

A Class of General Transformation of Characteristic Functions in Dynamic Games

  • LIU Cui · GAO Hongwei · PETROSIAN Ovanes · LIU Ying · WANG Lei
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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-behaviorproof conditions hold true. To illustrate the theory, an example of dynamic game on a tree is given.

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LIU Cui · GAO Hongwei · PETROSIAN Ovanes · LIU Ying · WANG Lei. A Class of General Transformation of Characteristic Functions in Dynamic Games. Journal of Systems Science and Complexity, 2020, 33(6): 1997-2012 https://doi.org/10.1007/s11424-020-9069-0
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