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Strategically supported cooperation in dynamic games with coalition structures

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Abstract

The problem of strategic stability of long-range cooperative agreements in dynamic games with coalition structures is investigated. Based on imputation distribution procedures, a general theoretical framework of the differential game with a coalition structure is proposed. A few assumptions about the deviation instant for a coalition are made concerning the behavior of a group of many individuals in certain dynamic environments. From these, the time-consistent cooperative agreement can be strategically supported by ε-Nash or strong ε-Nash equilibria. While in games in the extensive form with perfect information, it is somewhat surprising that without the assumptions of deviation instant for a coalition, Nash or strong Nash equilibria can be constructed.

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Authors and Affiliations

  1. School of Mathematics and Statistics, Qingdao University, Qingdao, 266071, China

    Lei Wang & HongWei Gao

  2. Institute of Applied Mathematics of Shandong, Qingdao, 266071, China

    HongWei Gao

  3. Faculty of Applied Mathematics and Control Processes, Saint Petersburg State University, Saint Petersburg, 198504, Russia

    Leon Petrosyan & Artem Sedakov

  4. School of Economics and Management, University of Chinese Academy of Sciences, Beijing, 100190, China

    Han Qiao

Authors
  1. Lei Wang
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  2. HongWei Gao
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  3. Leon Petrosyan
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  4. Han Qiao
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  5. Artem Sedakov
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Correspondence to Han Qiao.

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Wang, L., Gao, H., Petrosyan, L. et al. Strategically supported cooperation in dynamic games with coalition structures. Sci. China Math. 59, 1015–1028 (2016). https://doi.org/10.1007/s11425-016-5131-8

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  • DOI: https://doi.org/10.1007/s11425-016-5131-8

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