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Strategically supported cooperation in dynamic games with coalition structures. (English) Zbl 1338.91032
Summary: 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 \(\varepsilon\)-Nash or strong \(\varepsilon\)-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.

MSC:
91A23 Differential games (aspects of game theory)
91A12 Cooperative games
91A06 \(n\)-person games, \(n>2\)
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