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Pointless ELO question: rephrased

Posted By: vidvis
Date: Monday, 22 June 2015, at 12:24 p.m.

In Response To: Pointless ELO question (vidvis)

Player A and player B are frequent opponents on a well populated backgammon site. A has a higher rating than B and so wins fewer points from a victory and losses more points from a loss, at rates inversely proportional to A's winning chances. In theory, over time and ignoring skill changing over time, friction and mass of pulleys, would the cumulative rating points gained by A's victories over B be equal to those lost due to A's losses to B (and vice versa)?

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