{"id":161476,"date":"2011-08-01T00:00:00","date_gmt":"2011-08-01T00:00:00","guid":{"rendered":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/msr-research-item\/the-least-core-of-threshold-network-flow-games\/"},"modified":"2018-10-16T21:59:59","modified_gmt":"2018-10-17T04:59:59","slug":"the-least-core-of-threshold-network-flow-games","status":"publish","type":"msr-research-item","link":"https:\/\/new-cm-edgedigital.pages.dev\/en-us\/research\/publication\/the-least-core-of-threshold-network-flow-games\/","title":{"rendered":"The Least-Core of Threshold Network Flow Games"},"content":{"rendered":"<div class=\"asset-content\">\n<p>Network flow games model domains where a commodity can flow through a network controlled by selfish agents. Threshold Network Flow Games (TNFGs) are a form of such games where an agent coalition wins if it manages to send a flow exceeding a certain threshold between a source and a target vertex. Cooperative game theory predicts the agents\u2019 actions in such settings with solutions such as the core, the set of stable distributions of a coalition\u2019s gains among its members. However, some games have empty cores, so every distribution is inherently unstable. When the core is empty, one must use a more relaxed notion of stability, such as the least-core. We examine several problems regarding the least-core in general and restricted TNFGs.<\/p>\n<\/div>\n<p><!-- .asset-content --><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Network flow games model domains where a commodity can flow through a network controlled by selfish agents. Threshold Network Flow Games (TNFGs) are a form of such games where an agent coalition wins if it manages to send a flow exceeding a certain threshold between a source and a target vertex. 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