„May“ befindet sich nicht in der Liste (Januar, Februar, März, April, Mai, Juni, Juli, August, September, Oktober, ...) zulässiger Werte für das Attribut „Month“.

Responsibility Attribution in Parameterized Markovian Models

Christel BaierChristel Baier, Florian FunkeFlorian Funke, Rupak MajumdarRupak Majumdar

DOI Link

Christel Baier, Florian Funke, Rupak Majumdar
Responsibility Attribution in Parameterized Markovian Models
Proceedings of the AAAI Conference on Artificial Intelligence, 35(13):11734-11743, 2021

Details
Bibtex

KurzfassungAbstract
We consider the problem of responsibility attribution in the setting of parametric Markov chains. Given a family of Markov chains over a set of parameters, and a property, responsibility attribution asks how the difference in the value of the property should be attributed to the parameters when they change from one point in the parameter space to another. We formalize responsibility as path-based attribution schemes studied in cooperative game theory. An attribution scheme in a game determines how a value (a surplus or a cost) is distributed among a set of participants. Path-based attribution schemes include the well-studied Aumann-Shapley and the Shapley-Shubik schemes. In our context, an attribution scheme measures the responsibility of each parameter on the value function of the parametric Markov chain. We study the decision problem for path-based attribution schemes. Our main technical result is an algorithm for deciding if a path-based attribution scheme for a rational (ratios of polynomials) cost function is over a rational threshold. In particular, it is decidable if the Aumann-Shapley value for a player is at least a given rational number. As a consequence, we show that responsibility attribution is decidable for parametric Markov chains and for a general class of properties that include expectation and variance of discounted sum and long-run average rewards, as well as specifications in temporal logic.
Weitere Informationen unter:Further Information: Link
Forschungsgruppe:Research Group: Algebraische und logische Grundlagen der InformatikAlgebraic and Logical Foundations of Computer Science

@article{BFM2021,
  author  = {Christel Baier and Florian Funke and Rupak Majumdar},
  title   = {Responsibility Attribution in Parameterized Markovian Models},
  journal = {Proceedings of the {AAAI} Conference on Artificial Intelligence},
  volume  = {35},
  number  = {13},
  year    = {2021},
  pages   = {11734-11743},
  doi     = {10.1609/AAAI.V35I13.17395}
}