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Similarly, (3) and (6) specify Bala and Goyal's one-way flow model without decay, while (4) and (7) specify Bala and Goyal's two-way flow model without decay.
In Jackson and Wolinsky's connections model without decay, with payoffs given by (5): (i) The only efficient profiles are the empty profile and the minimally strongly-connected profiles.
Bala and Goyal (2000a) provide a dynamic model that converges to strict Nash networks for the one-way flow model without decay.
They prove that this dynamic model converges to an oriented wheel, the only strict Nash architecture for the one-way flow model without decay.
Note that this region contains the segment where (0le cle n) and (alpha =1), which corresponds to Bala and Goyal's two-way flow model without decay in JWBG2 (where efficient networks are those minimally weakly-connected), while in JWBG1 corresponds to Bala and Goyal's one-way flow model without decay, where oriented wheels are the only efficient structures.
Olaizola and Valenciano (2015a) provides a new hybrid model which has a variant of Jackson and Wolinsky's connections model without decay and Bala and Goyal's two-way flow model as extreme cases.
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Olaizola and Valenciano (2014) introduces a model that integrates Bala and Goyal's one-way and two-way flow models without decay as particular extreme cases of a more general one.
The model presented in this paper completes a "triangle" whose vertices are three benchmark models of strategic formation of networks: the no-decay version of Jackson and Wolinsky's (1996) connections model, and Bala and Goyal's (2000a) one-way and two-way flow models without decay.
The model specified by (2) and (5) is a variation without decay,12 of Jackson and Wolinsky's connections model, i.e. assuming that the flow through a link of the actual network is perfect or without loss.
A source-decay model with quadratic decay has been specifically proposed to reduce the sensitivity for intrinsic noise [ 64],.
In order to crosscheck the case-wise accuracy and precision of the fitting algorithm, Monte Carlo simulations of activity were performed using the observed clinical parameters values with injected simulated counting (Poisson) noise without modelling radioactive decay or misregistration.
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