With regard to the second prediction, regardless of territory size, the number of group members that can be sustained will be a function of the sum amount of resources available.
Indeed, the additivity of a measure on disjoint sets is the continuous formulation of the transferable utility assumption that earlier caused us to consider sums of resource allocations, while the restriction to probability measures ensures efficiency, that is, the maximum possible allocation for the full set.
A similar notion is used when social capital is conceived as the sum of resources in networks.
Collectively, the sum of resources and the distribution of activities among the nodes can maintain a good-enough quality, with a more competitive cost compared to centralized solutions.
Given her fixed health care needs (m_{i}), this sum of resources determines the individual's final level of health (h_{i}).
Advancing to a new Age unlocks new units, structures, and technologies, but players must first build certain buildings from their current age and then pay a sum of resources (typically food and gold).
In the USA the sum of resources used for intensive care is estimated to be 1% of the Gross National Product [ 1], while it is probably considerably less in European countries [ 2].
Rather than being concerned with the sum of resources or patient flow leaving individual states (as in a regular Markov chain), the present model is concerned with the flow of resources or sum of influences that contribute to an individual state.
In this scenario, further reductions in resource allocations may be achieved by simply allocating the sum of resource demand across all workloads in each time slice.
The virtual node v1 in Fig. 3 is generated due to the physical node s4 in Fig. 1 with the resource requirement equal to the sum of resource requirements of v1 from the original VN0 and v0 from VN1 mapped onto s4.
