Homogeneous of degree X


 

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Homogeneous of degree X

A homogeneous function where the monotonic function is the constant raised to the exponent X: F(lV)=lXF(V). For X>1, see increasing returns to scale; for X<1, see decreasing returns to scale.



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Homogeneous

Homogeneous

Exhibiting a high degree of homogeneity.


Homogeneous expectations assumption

Homogeneous expectations assumption

An assumption of Markowitz portfolio construction that investors have the same expectations with respect to the inputs that are used to derive efficient portfolios: asset returns, variances, and covariances.


Homogeneous function

Homogeneous function

A function with the property that multiplying all arguments by a constant changes the value of the function by a monotonic function of that constant: F(lV)=g(l)F(V), where F(·) is the homogeneous function, V is a vector of arguments, l>0 is any constant, and g(·) is some strictly increasing positive function. Special cases include homogeneous of degree X and linearly homogeneous.


Linearly homogeneous

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Homogeneous of degree 1. Sometimes called linear homogeneous.


Homogeneous product

Homogeneous product

The product of an industry in which the outputs of different firms are indistinguishable. Contrasts with differentiated product.


Further Suggestions

Homogeneous of degree 1
Zero degree homogeneous
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