Corpus ID: 124469594

The Index Number Problem: A Dierential Geometric Approach.

@inproceedings{Malaney1996TheIN,
  title={The Index Number Problem: A Dierential Geometric Approach.},
  author={Pia Malaney},
  year={1996}
}
  • Pia Malaney
  • Published 1996
  • Mathematics
  • The first part of this thesis looks at issues in index number theory. By using techniques developed in differential geometry, it is shown that the socalled index number problem can be resolved by the development of a special economic derivative operator constructed for this purpose. This derivative is shown to give rise to a unique differential geometric index number which is then demonstrated to equal the Divisia index. It is then shown in the second chapter (co-authored with Eric Weinstein… CONTINUE READING
    20 Citations

    Figures from this paper

    Gauge Invariance, Geometry and Arbitrage
    • 6
    • Highly Influenced
    • PDF
    Can You Hear the Shape of a Market? Geometric Arbitrage and Spectral Theory
    • 4
    • PDF
    Geometric Arbitrage Theory and Market Dynamics Reloaded
    • 2
    • PDF
    Time and symmetry in models of economic markets
    • 17
    • Highly Influenced
    • PDF
    Some correspondences between Index Number Theory in economy and the General Theory of Relativity in physics
    • PDF
    Geometric Arbitrage Theory and Market Dynamics
    • 15
    The Black-Scholes Equation in Presence of Arbitrage
    • 2
    • PDF
    Scale Invariance, Bounded Rationality and Non-Equilibrium Economics
    • 3
    • PDF
    A geometrical imaging of the real gap between economies of China and the United States
    • 5

    References

    SHOWING 1-10 OF 37 REFERENCES
    The Theory of the Cost-of-Living Index
    • 224
    Economic Development with Unlimited Supplies of Labour
    • 7,953
    • PDF
    INVARIANCE AXIOMS AND ECONOMIC INDEXES
    • 92
    Tensor Analysis on Manifolds
    • 378
    • PDF
    The Utility Analysis of Choices Involving Risk
    • 2,667
    • PDF