FSP4: Soziale Innovationen
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„ The times they are a changin’ “ – for the last couple of years in HR, we cannot stop chanting Bob Dylan’s verse. After the last major change, that Dave Ulrich has propagated with his idea of HR as a business partner, we are now in the middle of a transformation that seems to be even more substantial: Artificial Intelligence, Digitalization, New Work – the themes to influence HR are shaking our businesses and seem to require urgent responses or propose us to turn our organizations into something more agile and more values-oriented. Yet, what will stay once the dust settles? What are the images, that help us see again the forest for the trees, and what could guide us in this seemingly digitalized time of unrest? Instead of foreseeing the future, the following visualizations might assist to shape it or to react on changes.
We are studying the Gately point, an established solution concept for cooperative games. We point out that there are superadditive games for which the Gately point is not unique, i.e. in general the concept is rather set-valued than an actual point. We derive conditions under which the Gately point is guaranteed to be a unique imputation and provide a geometric interpretation. The Gately point can be understood as the intersection of a line defined by two points with the set of imputations. Our uniqueness conditions guarantee that these two points do not coincide. We provide demonstrative interpretations for negative propensities to disrupt. We briefly show that our uniqueness conditions for the Gately point include quasibalanced games and discuss the relation of the Gately point to the τ-value in this context. Finally, we point out relations to cost games and the ACA method and end upon a few remarks on the implementation of the Gately point and an upcoming software package for cooperative game theory.