3 papers
cs.GT2026
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…
cs.RO2023
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…
math.CO2019
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…