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Télécharger Le Fichier.pdf

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Preview of Télécharger le fichier
🔗 Source: hal.science
📊 Size: 350 KB
👤 Author: Eugene Asarin, Julien Cervelle, Aldric Degorre, Catalin Dima, Florian Horn, Victor Kozyakin
⬇️ Downloads: 164

Summary

Entropy Games and Matrix Multiplication Games are two new classes of games introduced and studied. Entropy Games (EGs) are played on a finite arena by two-and-a-half players: Despot, Tribune, and the non-deterministic People, where Despot wants to minimize the set of possible People's behaviors and Tribune wants to maximize it. Matrix Multiplication Games (MMGs) are played by two players who alternately write matrices from predefined finite sets, with one player wanting to minimize the growth rate of the product and the other wanting to maximize it. The study shows that MMGs are undecidable in general, but EGs correspond to a subclass of MMGs and are determined, with optimal strategies being simple, and the complexity of solving such games is in NP ∩coNP.

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Entropy Games and Matrix Multiplication Games are two new classes of games introduced and studied.

Technical Information

  • File Format: PDF
  • File Size: 350 KB
  • Pages: 22
  • Language: EN
  • Author: Eugene Asarin, Julien Cervelle, Aldric Degorre, Catalin Dima, Florian Horn, Victor Kozyakin
  • Total Downloads: 164
  • Last Updated: 1 week ago

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