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Anna's behaviour becomes erratic towards the end of the novel but I don't think she should be accused of selfishness. She is forced to make a choice between Vronsky and her son and that choice drives her mad, especially when her husband tries to take her son away from her, and tells him that his mother is dead, so it could be said that Karenin is depicted unfavourably himself. Anna flouts convention and does not respect the institution of marriage in Tsarist Russia and for that she is punished, as a woman who see's no reason why she should not live passionately and openly, she is contrasted with the men in the novel who do the same thing but discreetly, it is they whom are the hypocrites. Nevertheless Anna's devil may care attitude leaves her wide open to criticism and her act of suicide at the end seems to confirm her ultimate vanity. The sub plot involving Levin whom is compared to Tolstoy himself involves Levin's understanding at the end of the novel that the way to give his life meaning is to fill it with acts of kindness towards others and that his agrarianism unites him with the natural order whereas Anna ends up a victim of mechanical 'progress' under the wheels of a train, she is separated from nature, another example of Tolstoy's distrust of modern liberalism and industrialism, and his dislike of 'frivolous' characters like Anna. Despite this though Tolstoy portrays Anna as a beautiful, sometimes sincere, kind and passionate woman who dearly loves her son and who was the object of much jealousy and envy by people who are hypocrites themselves, but who are better paced to 'fit in' to their social identities.
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I think that Anna is not deliberately selfish but she is simply self-absorbed, willing to build her own happiness on the base of other people's unhappiness.