How hard is it to control a group?

How Hard Is It to Control A Group?

Group identification models situations where a set of individuals are asked to determine who among themselves are socially qualified. In this paper, we study the complexity of three group controlling problems, namely Group Control by Adding Individuals, Group Control by Deleting Individuals and Group Control by Partition of Individuals for various social rules. In the controlling problems, an e...

How Hard Is It to Control Switched Systems ?

We show that the problem of deciding if there exists a control that drives a switched control system between two given states b undecidable. We firthermore investigate what happens i f we search for a qntrol that achieves this in a given number of steps, or with a given number of switches. These problems are shown to be respectively NP-complete and NP-hard. The results follow as a consequence o...

How Hard Is It to Control an Election?

Some voting schemes that are in principle susceptible to control are nevertheless resistant in practice due to excessive computational costs; others are vulnerable. We illustrate this in detail for plurality voting and for Condorcet voting.

How Hard is it to Manipulate Voting ?

How Hard Is It to Take a Snapshot?

The snapshot object is an important and well-studied primitive in distributed computing. This paper will present some implementations of snapshots from registers, in both asycnhronous and synchronous systems, and discuss known lower bounds on the time and space complexity of this problem.