The multilinear extension of an n-person game v is a function defined on the n-cube I^N which is linear in each variable and which coincides with v at the conrners of the cube, satisfying f(x) = v({i | x_i = 1}). Multilinear extensions are useful as a help in computing the values of large games,...

Governments in certain countries have tried over the last two decades to draw most industry to the largest cities. The effect has generally been a large increase in both the population and land area of the cities, as the nearby rural areas are taken out of agricultural production and urbanized....

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In Shapley, L. S. 1953. Additive and non-additive set functions. Ph.D. thesis, Department of Mathematics, Princeton University, Shapley considers a modification of his power index. The modified values are introduced via special weights. This note suggests that those weights should be thought of...

The author clarifies his position on the minimax principle.