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Justin Toth (University of Waterloo): A General Framework For Computing the Nucleolus Via Dynamic Programming

Justin Toth (University of Waterloo) presents A General Framework For Computing the Nucleolus Via Dynamic Programming at the Corvinus Game Theory Seminar
2020.09.25. 16:00
1093. Budapest, Fővám tér
Entry fee: pl. 4000/fő
Information: +36 1 234-56-78 / tamas.solymosi@uni-corvinus.hu

Szervezők elérhetősége

Dr. Solymosi István Tamás tamas.solymosi@uni-corvinus.hu Rektori Szervezet / Operáció és Döntés Intézet / Operációkutatás és Aktuáriustudományok Tanszék
Egyetemi Tanár / Professor
C épület, 708

In a cooperative game when the problem of computing the minimum excess coalition for a given allocation can be formulated as a dynamic program we show that the nucleolus can be computed in time polynomial in the size of the dynamic program. This gives a general technique for designing efficient algorithms for computing the nucleolus of a cooperative game. This technique is inspired by a recent result of Pashkovich on weighted voting games. However, our technique significantly extends beyond the capabilities of previous work. We demonstrate this by applying it to give an algorithm for computing the nucleolus of b-matching games in polynomial time on graphs of bounded treewidt

If you wish to receive a link for the zoom meeting on the day of the event, please send an email to Tamás Solymosi (tamas dot solymosi at uni dash corvinus dot hu)

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