http://seaofechoes.com/2008/12/31/setting-distance/ insomnia unleashed Sun, 20 May 2012 08:18:39 +0000 http://wordpress.org/?v=2.5.1 http://seaofechoes.com/2008/12/31/setting-distance/#comment-420 Matt Thu, 29 Jan 2009 02:11:02 +0000 http://seaofechoes.com/?p=211#comment-420 In your first example you choose to average the happiness wave forms, this assumes that both individuals are trying to simply maximize there own happiness. You address this by using a different optimization cost function; however you don't take into acount any 2nd order modes. The desire of each partner to see the other happy also needs to be modeled as it will shift the optimal point. If partner A gains happiness due to how they percieve partner B's happiness, then the optimal point would shift toward partner B's point of maximum happiness. I posit that this "Reflected Happiness Factor" may look like the function Hr = (s)/[(s+x)(s+y)], in laplace space, where x and y denote the inverse of the break points of the reflected happiness plateau ( This is notionally a inverted notch filter), s is the happiness of the opposite partner and Hr is the reflected happiness gain of the partner in question. Ofcourse such curves would exist for both partners making this a higher order optimization problem. This also assumes that each of the partner's happiness levels are fully observable by the other. If there is some masking of the true levels then the feedback loop will be distorted. In your first example you choose to average the happiness wave forms, this assumes that both individuals are trying to simply maximize there own happiness. You address this by using a different optimization cost function; however you don’t take into acount any 2nd order modes. The desire of each partner to see the other happy also needs to be modeled as it will shift the optimal point. If partner A gains happiness due to how they percieve partner B’s happiness, then the optimal point would shift toward partner B’s point of maximum happiness. I posit that this “Reflected Happiness Factor” may look like the function Hr = (s)/[(s+x)(s+y)], in laplace space, where x and y denote the inverse of the break points of the reflected happiness plateau ( This is notionally a inverted notch filter), s is the happiness of the opposite partner and Hr is the reflected happiness gain of the partner in question. Ofcourse such curves would exist for both partners making this a higher order optimization problem. This also assumes that each of the partner’s happiness levels are fully observable by the other. If there is some masking of the true levels then the feedback loop will be distorted.

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