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In this article, we develop the theory of equilibrium checking, a related but distinct problem.
Equilibrium checking is relevant for multi-agent systems in which system components (agents) are assumed to be acting rationally in pursuit of delegated goals, and is concerned with understanding what temporal properties hold of such systems under the assumption that agents select strategies in equilibrium.
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After quality control and Hardy-Weinberg equilibrium checks, Cox regression analysis revealed no significant associations between the SNPs and BrCa risk for BRCA1 or BRCA2 mutation carriers (rs7164529, Ptrend = 0.45 and 0.05, P2df = 0.51 and 0.14, respectively; rs10519219, Ptrend = 0.92 and 0.72, P2df = 0.76 and 0.07, respectively; Table 1).
For each of these cases, after formally defining the game setting, we characterise the complexity of a range of problems relating to Nash equilibria (e.g., the computation or the verification of existence of a Nash equilibrium or checking whether a given temporal formula is satisfied on some Nash equilibrium).
We assessed this equilibrium by checking that the mean heterozygosity measured at non-marker loci was stabilized.
After the internal forces are calculated, the equilibrium is checked.
The mean flow equilibrium is checked with classic criteria such as the friction velocity.
Conversely, a traffic equilibrium must check (6.2) for every lot, hence (6.4) which is equivalent to the system of (6.2) ∀ i ∈ I.
The Hardy-Weinberg equilibrium was checked using Chi-square test.
Hardy Weinberg equilibrium was checked for each SNP.
All groups were tested for Hardy-Weinberg equilibrium to check for Mendelian inheritance.
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