On the Relation of Various Reliability Measures to Each Other and to Game Theoretic Values

A variety of measures have recently been proposed for measuring the relative importance of individual components in the overall reliability of a system. Several of these seemingly different measures are very closely related under the conditions typically assumed in the reliability literature. The measures are also closely related to the probabilistic values of game theory; although the game theoretic literature predates the reliability literature by up to two decades, the similarities have apparently not been previously observed or exploited.