5 papers
A Tractable Class of Cooperative Games Defined by Directed Networks: Unanimity Decomposition and Shapley Value
David Ryzák, Tomáš Kroupa
We introduce a class of cooperative games induced by weighted directed graphs. Specifically, the coalitional value combines an internal interaction term given by the induced subgra…
Globally Optimal Inverse Kinematics as a Quadratic Program
Tomáš Votroubek, Tomáš Kroupa
We show how to compute globally optimal solutions to inverse kinematics (IK) by formulating the problem as an indefinite quadratically constrained quadratic program. Our approach m…
Values of Games for Information Decomposition
Tomáš Kroupa, Sara Vannucci, Tomáš Votroubek
The information decomposition problem requires an additive decomposition of the mutual information between the input and target variables into nonnegative terms. The recently intro…
Multiple Oracle Algorithm to Solve Continuous Games
T. Kroupa, T. Votroubek
Continuous games are multiplayer games in which strategy sets are compact and utility functions are continuous. These games typically have a highly complicated structure of Nash eq…
On Decomposition of Solutions for Coalitional Games
Tomáš Kroupa
A solution concept on a class of transferable utility coalitional games is a multifunction satisfying given criteria of economic rationality. Every solution associates a set of pay…