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The recent discovery of instability caused by the interaction of local routing policies of multiple ASes has led to extensive research on the subject. However, previous studies analyze stability under a specific route selection algorithm. In this paper, instead of studying a specific route selection algorithm, we study a general class of route selection algorithms which we call rational route selection algorithms. We present a sufficient condition to guarantee routing convergence in adoi:10.1109/icnp.2005.28 dblp:conf/icnp/WangXYSLL05a fatcat:karo5kgv4zat5guikzbgfcraia