Bohman-Frieze-Wormald model on the lattice, yielding a discontinuous percolation transition

The BFW model introduced by Bohman, Frieze, and Wormald [Random Struct. Algorithms, 25, 432 (2004)] and recently investigated in the framework of discontinuous percolation by Chen and D'Souza [Phys. Rev. Lett., 106, 115701 (2011)], is studied on the square and simple-cubic lattices. In two and three dimensions, we find numerical evidence for a strongly discontinuous transition. In two dimensions, the clusters at the threshold are compact with a fractal surface of fractal dimension $d_f=1.49\pm0.02$. On the simple-cubic lattice, distinct jumps in the size of the largest cluster are observed. We proceed to analyze the tree-like version of the model, where only merging bonds are sampled, for dimension two to seven. The transition is again discontinuous in any considered dimension. Finally, the dependence of the cluster-size distribution at the threshold on the spatial dimension is also investigated

Trade-offs are not exogenous

Trade-offs between competitive priorities are often seen as exogenous – managers accept them as a given downside while simultaneously addressing multiple competitive priorities. However, some companies seem to face fewer trade-offs than others. The question is how companies reduce their trade-offs to successfully compete on multiple competitive priorities simultaneously. We address this question by theorising that bundles of action programmes are needed to reduce trade-offs between competitive priorities. We examine four Swiss manufacturing plants and show how the selection of action programmes influences the simultaneous competition on multiple competitive priorities. We show that successful competition on multiple competitive priorities does not happen by accident but is achieved by aligning competitive priorities, action programmes, infrastructural/structural changes and contextual factors