More Choices Allow More Faults: Set Consensus Problems in Totally Asynchronous Systems

More Choices Allow More Faults: Set Consensus Problems in Totally Asynchronous Systems

Do Students Learn More Where Parents Have More Educational Choices?

Educational freedom is sometimes accused of being an ideological term, so let me frame it in an analytic context. There have been several school choice experiments in the last few years. These experiments had a structure that yielded quality results because students were randomly assigned to treatment and control groups. Some students by chance received scholarships to attend private schools an...

Asynchronous Convex Consensus in the Presence of Crash Faults

This paper defines a new consensus problem, convex consensus. Similar to vector consensus [13, 20, 19], the input at each process is a d-dimensional vector of reals (or, equivalently, a point in the d-dimensional Euclidean space). However, for convex consensus, the output at each process is a convex polytope contained within the convex hull of the inputs at the fault-free processes. We explore ...

Tipping Diffusivity in Information Accumulation Systems: More Links, Less Consensus

Assume two different communities each of which maintain their respective opinions mainly because of the weak interaction between the two communities. In such a case, it is an interesting problem to find the necessary strength of inter-community interaction in order for the two communities to reach a consensus. In this paper, the Information Accumulation System (IAS) model is applied to investig...

More on embedding partial totally symmetric quasigroups