Weihrauch Degrees of Finding Equilibria in Sequential Games

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.

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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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