TY - JOUR T1 - Loss of genetic variation in the two-locus multiallelic haploid model JF - bioRxiv DO - 10.1101/2020.03.07.981852 SP - 2020.03.07.981852 AU - Martin Pontz AU - Marcus W. Feldman Y1 - 2020/01/01 UR - http://biorxiv.org/content/early/2020/03/08/2020.03.07.981852.abstract N2 - In the evolutionary biology literature, it is generally assumed that in deterministic haploid selection models, in the absence of variation-generating mechanisms such as mutation, no polymorphic equilibrium can be stable. However, results corroborating this claim are scarce and almost always depend upon additional assumptions. Using ideas from game theory, we establish a condition on the fitness parameters of haplotypes formed by two loci such that a monomorphism is a global attractor. Further, we show that no isolated equilibrium exists, at which an unequal number of alleles from two loci is present. Under the assumption of convergence of trajectories to equilirium points, we settle the two-locus three-allele case for a fitness scheme formally equivalent to the classical symmetric viability model. ER -