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This collection includes:

  • Shaikh, A. (2014, January 17). Linear standard prices [Handwritten research notes with mathematical derivations on standard disaggregation, eigenvalues, and input-output matrices]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2015, May 30). Price-value and Wicksell effect [Handwritten research notes with mathematical derivations on normalizations, sufficient conditions for small Wicksell effect, and limits]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2014, January 10). Parallel between v/R → 1 and matrix size N → ∞ in effect on A [Handwritten research notes with mathematical derivations referencing Frazer, Duncan, and Collar's work on elementary matrices]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2015, April 16). Matrix size and eigenvalues [Handwritten research notes on Brody's hypothesis, subdominant roots, random matrices, and implications for linear standard prices and aggregate production functions]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2012, April 22). Notes on IO matrices, aggregation and subdominant eigenvalues [Unpublished typed manuscript with handwritten annotations, covering the Molnar–Simonovits conjecture, Bidard–Schatteman's spectrum result, Sun's first-two-eigenvalue result, and the Bialas–Gurgul hypothesis]. Unpublished manuscript. New School for Social Research.
  • Tsoulfidis, L., & Paitaridis, D. (n.d.). On the labor theory of value: Statistical artefacts or regularities? [Excerpt, section 2, "Review of empirical studies"]. Research in Political Economy. Elsevier/Emerald Publishing.
  • Tsoulfidis, L. (2008). Price-value deviations: Further evidence from input-output data of Japan. International Review of Applied Economics, 22(6), 707–724. Taylor & Francis.
  • Shaikh, A. (2014, May 7). Classical theory of price matrix algebra [Unpublished typed working notes with handwritten annotations, covering prices of production from labor value and capital-coefficient matrices, dated internally]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2012, February 19). Price and VR paths [Handwritten research notes on price normalization, Sraffa's price normalization, and the Wicksell effect, with a cross-reference to a note dated September 26, 2009 on price vectors and subdominant roots]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, April 1). [Price of production derivations] [Handwritten research notes on price of production equations, quantity vectors, and standard commodity normalization]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, April 3). Random matrices [Handwritten research notes on stochastic matrix properties, column sums, dominant roots, and disaggregation effects]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2014, January 5). Notes on IO matrices, aggregation and subdominant eigenvalues [Continued typed and annotated working notes on Gerschgorin circles, empirical evidence, and the relationship between zero rows and linearity of standard prices and the wage-profit curve]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2010, January 23). Determinants of Wicksell effect [Handwritten research notes on conditions for zero Wicksell effect, linear standard prices, and connections to random matrix properties and the Brody–Schefold framework]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, December 16). [Problem notes: Subdominant roots and capital goods] [Handwritten research notes on eigenvalue properties of capital-good matrices, nilpotent matrices, and idempotent matrices]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, December 18). [Notes on Schefold on conditions for linear wage curves] [Handwritten research notes on Schefold's derivations for linear wage curves, referencing Cambridge Journal of Economics galleys from 2009]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, December 15). Implications of distinct types of goods for subdominant eigenvalues [Handwritten research notes on capital goods, materials, and consumption sectors and their matrix structures, referencing Dietzenbach]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2014, November 5). Disaggregation [Handwritten research note on stochastic matrix form, diagonal elements, and Gerschgorin circles under disaggregation]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2010, December 16). [Notes on subdominant eigenvalues: Recap of matrix algebra for IO systems] [Handwritten research notes reviewing core eigenvalue results for input-output matrices including Cayley–Hamilton, trace, determinant, and idempotency]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, November 25). Schefold on conditions for linear wage curves [Handwritten research notes on Schefold's derivations, referencing zero Wicksell effect and stochastic matrix convergence, with cross-reference to note of December 26, 2009]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (n.d.). [Notes: Roots all the same] [Handwritten research note on price-of-production equations under equal roots condition]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2009, March 5 / 2015, May 30). Price-value and Wicksell effect [Handwritten research notes on Wicksell effect as a function of normalizations used for price of production at R; references email from Stréfot, June 20, 2014]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (n.d.). Expected path of sum of moduli [Handwritten research note with graph, referencing Betsy Fisher's remark on "standards internal to the paradigm," and a contact telephone number for Michael Needham]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (n.d.). [Derivation: Price of production is linear if p(r)H′ = PR = PAH′] [Handwritten research note on conditions for Brenenfeld linearity of standard prices]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (n.d.). [Notes: Price of production with multiple profit rates and spectral decomposition] [Handwritten research notes on three-profit-rate spectral price decomposition, referencing Frazer, Duncan, and Collar, ca. 1996]. Unpublished manuscript. New School for Social Research.
  • Shaikh, A. (2019, April 1). [Notes: Independent of any normalization] [Handwritten research notes on price normalization in the Brenenfeld approximation framework, Sraffa's normalization, and the Wicksell deviation from linear approximation, with note referencing Shiller's work on equity premium and financial economics]. Unpublished manuscript. New School for Social Research.

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