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In many settings there exists a set of potential participants, but the set of participants who are actually active in the system, and in particular their number, is unknown. This topic has been first analyzed by Ashlagi, Monderer, and Tennenholtz [AMT] in the context of simple routing games, where the network consists of a set of parallel links, and the agents can not split their jobs among different paths. AMT used the model of pre-Bayesian games, and the concept of safetylevel equilibrium fordoi:10.1145/1329125.1329362 dblp:conf/atal/AshlagiMT07 fatcat:ze3lsdogvbc65bso4dexpcuyn4