Irrational-Behavior-Proof Conditions Based on Limit Characteristic Functions

Liu Cui (), Gao Hongwei (), Petrosian Ovanes (), Xue Juan () and Wang Lei ()
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Liu Cui: School of Mathematics and Statistics, Qingdao University, Qingdao266071, China
Gao Hongwei: School of Mathematics and Statistics, Institute of Applied Mathematics of Shandong, Qingdao University, Qingdao266071, China
Petrosian Ovanes: Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, Saint Petersburg, 198504, Russia
Xue Juan: School of Mathematics and Statistics, Qingdao University, Qingdao266071, China
Wang Lei: School of Mathematics and Statistics, College of Automation and Electrical Engineering, Qingdao University, Qingdao266071, China

Journal of Systems Science and Information, 2018, vol. 7, issue 1, 1-16

Abstract: Irrational-behavior-proof (IBP) conditions are important aspects to keep stable cooperation in dynamic cooperative games. In this paper, we focus on the establishment of IBP conditions. Firstly, the relations of three kinds of IBP conditions are described. An example is given to show that they may not hold, which could lead to the fail of cooperation. Then, based on a kind of limit characteristic function, all these conditions are proved to be true along the cooperative trajectory in a transformed cooperative game. It is surprising that these facts depend only upon the individual rationalities of players for the Shapley value and the group rationalities of players for the core. Finally, an illustrative example is given.

Keywords: dynamic cooperative game; irrational-behavior-proof condition; limit characteristic function; individual rationality (search for similar items in EconPapers)
Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:bpj:jossai:v:7:y:2018:i:1:p:1-16:n:1

DOI: 10.21078/JSSI-2019-001-16

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