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Assuming that the players' beliefs are "cautious" is naturally related to weak dominance (recall the characterization of weak dominance, Section 3.2 in which a strategy is weakly dominated iff it does not maximize expected utility with respect to any full support probability measure).
The event in which \(i\) chooses rationality is then defined as In addition, we have \(\mathsf{Rat^{sd}}\ :=\ \bigcap_{i\in N}\mathsf{Rat_i^{sd}}\). Similarly, we can define the set of states in which player \(i\) is playing a strategy that is not weakly dominated, denoted \(\mathsf{Rat_i^{wd}}\) and \(\mathsf{Rat^{wd}}\) using weak dominance.
It is prevalent that the Pareto-based dominant framework is inefficient in non-dominated sorting because the performance sharply deteriorates when there are numerous weak dominance relations.
The same observation does not hold for weak dominance.
Table 8 Stated ANA with MNL and ≤ 14-day recall Efficient Orthogonal Weak dominance No dominance Weak dominance No dominance Coeff.
There are two main ingredients to the epistemic characterization of iterated weak dominance.
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Considering the existent difference between binocular summation in a weak ocular dominance or in a strong ocular dominance [ 17], the use of a combination of methods in the determination of the ocular dominance results in a more consistent information when it comes to taking some decisions such as the type of IOL to be implanted in dominant or non-dominant eye or the profile of corneal ablation.
First, even though neurons tuned to high spatial frequencies tend to be more binocular, this does not preclude weak ocular dominance biases.
If the plant has weak apical dominance, damage to a shoot will not change the source-sink structure as much as if the plant has strong apical dominance [ 18].
Populus trichocarpa shows weak apical dominance and so it is unsurprising that expression of a gene that is high in young leaves and in the shoot apex would also be high in internode samples.
However, weaker and dominance effect was found in Chinese, with increases of 0.20 (0.11–0.28) and 0.23 (0.12–0.34) in SMD of FPG for CG and GG genotypes, respectively (Figure S2).
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