Network Games, Control, and Optimization: Proceedings of by Samson Lasaulce, Tania Jimenez, Eilon Solan

By Samson Lasaulce, Tania Jimenez, Eilon Solan

This contributed quantity deals a set of papers offered on the 2016 community video games, regulate, and Optimization convention (NETGCOOP), held on the college of Avignon in France, November 23-25, 2016. those papers spotlight the expanding significance of community keep watch over and optimization in lots of networking software domain names, similar to cellular and stuck entry networks, machine networks, social networks, transportation networks, and, extra lately, electrical energy grids and organic networks. overlaying a wide selection of either theoretical and utilized subject matters within the components indexed above, the authors discover a number of conceptual and algorithmic instruments which are wanted for effective and powerful keep an eye on operation, functionality optimization, and higher knowing the relationships among entities that could be appearing cooperatively or selfishly in doubtful and doubtless adverse environments. As such, this quantity might be of curiosity to utilized mathematicians, laptop scientists, engineers, and researchers in different comparable fields.

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Extra info for Network Games, Control, and Optimization: Proceedings of NETGCOOP 2016, Avignon, France

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1, pp. 124–143, 1996. 10. T. Roughgarden, Selfish routing and the price of anarchy. MIT Press, 2006. Go-Index: Applying Supply Networks Principles as Internet Robustness Metrics Ivana Bachmann, Fernando Morales, Alonso Silva, and Javier Bustos-Jimenez Abstract Whether as telecommunications or power systems, networks are very important in everyday life. Maintaining these networks properly functional and connected, even under attacks or failures, is of special concern. This topic has been previously studied with a whole network robustness perspective.

6. 2 Related Work To study the robustness of a network, its evolution against failure must be analyzed. On real–world situations, networks may confront random failures as well as targeted attacks. For the latter, two main categories of attacking strategies have been defined: simultaneous and sequential attacks [10]. Simultaneous attacks choose a set of nodes and remove them all at once while sequential attacks choose a node to remove and given the impact of this removal it chooses another node, proceeding iteratively.

The point minimizing the sum of costs of all players) of the system. Since the game possesses several equilibria, we can expect the PoA (Price of Anarchy - the largest ratio between the sum of costs at an equilibrium and the sum of costs at the social optimum) and PoS (Price of Stability - the smallest corresponding ratio) to be different. Theorem 4 The price of stability is 1 and the price of anarchy is 1 C b . 2aN 2 We make the following observations: (i) In the splitable atomic games studied in [6] the PoA was shown to be greater than one for sufficiently small number of players (smaller than some threshold), and was 1 for all large enough number of players (larger than the same threshold).

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