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Weihrauch Degrees of Finding Equilibria in Sequential Games

  • Stéphane Le Roux
  • Arno Pauly
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9136)

Abstract

We consider the degrees of non-computability (Weihrauch degrees) of finding winning strategies (or more generally, Nash equilibria) in infinite sequential games with certain winning sets (or more generally, outcome sets). In particular, we show that as the complexity of the winning sets increases in the difference hierarchy, the complexity of constructing winning strategies increases in the effective Borel hierarchy.

Keywords

Nash Equilibrium Solution Concept Winning Strategy Strategy Profile Sequential Game 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

Notes

Acknowledgements

This work benefited from the Royal Society International Exchange Grant IE111233 and the Marie Curie International Research Staff Exchange Scheme Computable Analysis, PIRSES-GA-2011- 294962.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  1. 1.Département d’informatiqueUniversité libre de BruxellesBruxellesBelgique
  2. 2.Clare CollegeUniversity of CambridgeCambridgeUK

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