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In this paper replicator dynamics are introduced to describe the propagation of coalitionist behaviour in conflicts given by a two-strategy bimatrix games. In the proposed approach non-coalitionists play either Nash strategies or choose one of two pure strategies. In the first case it is proved that non-coalitionists are asymptotically eliminated. In the second case coalitionists can propagate without...
This paper studies stability of coalition structures in the apex game by the use of Bloch’s (1996) model of dynamic coalition formation. In our model, players’ payoffs are given by the coalition values and a cost for proposal is newly introduced. We study stable coalition structures by the subgame perfect equilibrium and we show that in the apex game stable coalition structures depend on the cost...
In this paper we study a time-optimal model of pursuit. The game is supposed to be a nonzero-sum simple pursuit game between a pursuer and m evaders acting independently of each other. Here we assume that the evaders are discriminated and dictated the extremely disadvantageous behaviour by the pursuer who has an element of punishment at his disposal. The aim of this paper is to find an equilibrium...
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