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...ently, more complex models of congestion games have been suggested, taking into account the incomplete information agents may have when making a decision (e.g. Ashlagi et al. [4] and Piliouras et al. =-=[16]-=-; see Related Work). Uncertainty may stem from multiple sources, including uncertainty about the state of nature– and thus the cost of resources –or about other agents’ actions. We can imagine commute...

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...tworks with uncertain delays, which however focuses on nonatomic games and adopts notions of individual cost and viewpoints quite different from ours (see e.g., [14]). In addition to [15,14], [3] and =-=[16]-=- are similar to our work. Motivated by applications with only partial knowledge of the number of players participating in the game, Ashlagi, Monderer, and Tennenholtz [3] considered congestion games o...

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...ently, more complex models of congestion games have been suggested, taking into account the incomplete information agents may have when making a decision (e.g. Ashlagi et al. [4] and Piliouras et al. =-=[16]-=-; see Related Work). Uncertainty may stem from multiple sources, including uncertainty about the state of nature– and thus the cost of resources –or about other agents’ actions. We can imagine commute...

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... 4 the (1 + η)–stretch of Pk–FLIP games. Note that these bounds may be of independent interest; bounds on the stretch of congestion games from our previous work [4] have been used by Piliouras et al. =-=[16]-=- in order to quantify the price of anarchy of congestion games in settings with uncertainty where players have particular risk attitudes. Theorem 3.1 For any η > 0, the (1 + η)–stretch of Pk–FLIP game...

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...y, 2012]. On the other hand, congestion games with discrete strategy sets have been studied under resource failure and risk sensitive players [Penn et al., 2009, 2011, Nikolova and Stier-Moses, 2014, =-=Piliouras et al., 2013-=-, Angelidakis et al., 2013]. However, these models have different mathematical structures than the atomic splittable congestion games with continuous strategy sets and prospect-theoretic players which...