Selected Publications

For additional information email Barzilai@dal.ca.

Jonathan Barzilai, An Outline of a Symmetric Spectrum Algorithm, 2017. View

Jonathan Barzilai, A Linear-Equations Challenge, 2017. View

Jonathan Barzilai, Supply and Demand Equilibrium and Debreu’s Theory of Value, 2016.  View

Jonathan Barzilai, Economic Theory’s Curves, 2016.  View

Jonathan Barzilai, Demand, Barter, and Exchange, 2016.  View

Jonathan Barzilai, A Unified Consumer Demand Theory, 2016.  View

Jonathan Barzilai, And the Mathematics is Incorrect, SIAM News, March 2016.  View

An unedited version here.

Jonathan Barzilai, Slutsky’s Mathematical Economics, 2016.  View

Jonathan Barzilai, An Open Letter to the President of the Canadian Economics Association, March 2015.  View

Jonathan Barzilai, A Note on Katzner’s "Arbitrary Definitions," Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–2, 2014. View

Jonathan Barzilai, An Open Letter to the President of the American Economic Association, September 2014.  View

Jonathan Barzilai, "Demand Theory is Founded on Errors," Real-World Economic Review, No. 68, pp. 62–65, 21 August 2014. View

Jonathan Barzilai, Applicability of Mathematical Operations on Value Scales, pp. 1–6, 2013. View

Jonathan Barzilai, On Ordinal, Cardinal, and Expected Utility, pp. 1–6, 2011.  Published as "Inapplicable Operations on Ordinal, Cardinal, and Expected Utility," Real-World Economic Review, No. 63, 25 March 2013.   View

Jonathan Barzilai, "On Microeconomics Errors and Ordinal Group Decision Making," AAAI Technical Report SS-12-01, pp. 4–7, 2012. View preprint

Jonathan Barzilai, The Challenge of Foundational Errors in Economic and Game Theory, pp. 1–3. A discussion paper, Lorentz Center workshop "Error in the Sciences," October 2011. View

Lex A. van Gunsteren, Economic Theory and the Reality Test, Lorentz Center workshop "Error in the Sciences," Leiden, October 2011. View

Jonathan Barzilai, Correcting the Mathematical Foundations of the Social & Economic Sciences, NSF White Paper, September 2010. View

Jonathan Barzilai, Von Neumann’s Error, CORS-SCRO Bulletin, Vol. 44 No. 4, pp. 23–24, November 2010. View

Jonathan Barzilai, “Preference Function Modeling: The Mathematical Foundations of Decision Theory,” in Trends in Multiple Criteria Decision Analysis, Matthias Ehrgott, José Rui Figueira, and Salvatore Greco (Eds.), Springer, pp. 57–86, 2010. View preprint

Jonathan Barzilai, Economic Theory Errors, pp. 1–5, 2009. View

Jonathan Barzilai, Ordinal Utility and Indifference Curves, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–7, 2009. View

Jonathan Barzilai, Game Theory Foundational Errors – Part IV, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–4, 2009. View

Jonathan Barzilai, Game Theory Foundational Errors – Part III, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–4, 2009. View

Jonathan Barzilai, “Avoiding MCDA Evaluation Pitfalls,” in Real Time and Deliberative Decision Making, Igor Linkov, Elizabeth Ferguson, Victor S. Magar (Eds.), NATO Science for Peace and Security Series C – Environmental Security, Springer, pp. 349–353, 2008. View preprint

Jonathan Barzilai, Game Theory Foundational Errors – Part II, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–9, 2008. View

Jonathan Barzilai, Value of a Game, Notices of the American Mathematical Society, Vol. 55, No. 4, p. 446, April 2008. View

Jonathan Barzilai, On the Mathematical Foundations of Economic Theory, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–13, 2007. View

Jonathan Barzilai, Game Theory Foundational Errors and the Mathematical Foundations of Operations Research, CORS-SCRO Bulletin, Vol. 41, No. 4, pp. 42–43, November 2007. View

Jonathan Barzilai, Game Theory Foundational Errors – Part I, Technical Report, Dept. of Industrial Engineering, Dalhousie University, pp. 1–2, 2007. View

Jonathan Barzilai, A Game Theory Pitfall – ‘The Value of a Game’, CORS-SCRO Bulletin, Vol. 41, No. 3, p. 44, July 2007. View

Jonathan Barzilai, Pairwise Comparisons, in N.J. Salkind (Ed.), Encyclopedia of Measurement and Statistics, Sage Publications (Thousand Oaks, CA), Vol. II, pp. 726–727, 2007.

Jonathan Barzilai, On the Mathematical Modeling of Measurement, http://arxiv.org/, math.GM/0609555, pp. 1–4, 2006. View

Jonathan Barzilai, Preference Modeling in Engineering Design, in Decision Making in Engineering Design, K.E. Lewis, W. Chen and L.C. Schmidt (Eds.), ASME Press, pp. 43–47, 2006.

Jonathan Barzilai, Measurement and Preference Function Modeling, International Transactions in Operational Research, Vol. 12, pp. 173–183, 2005.

Jonathan Barzilai, Notes on Utility Theory, Proceedings of the IEEE International Conference on Systems, Man, and Cybernetics, pp. 1000–1005, 2004.

Jonathan Barzilai, Notes on the Analytic Hierarchy Process, Proceedings of the NSF Design and Manufacturing Research Conference, Tampa, Florida, pp. 1–6, 2001. View

Jonathan Barzilai, On the Decomposition of Value Functions, Operations Research Letters, Vol. 22, Nos. 4-5, pp. 159–170, 1998.

Jonathan Barzilai, Deriving Weights from Pairwise Comparison Matrices, Journal of the Operational Research Society, Vol. 48, No. 12, pp. 1226–1232, 1997.


Recent

ChoiceRobot

NEW: Spectral Algorithm

NEW: Linear Equations Challenge

Supply and Demand Equilibrium and Debreu’s Theory of Value

Economic Theory’s Curves

Demand, Barter, and Exchange

And the Math is Incorrect


The Foundations

Decision Theory

Utility Theory


Software

Download Tetra

Tetra Quickstart Guide

Tetra Online Documentation


Algorithms

Demonstration


Video

An Elementary Demand Theory Error

Ordinal Utility and Indifference Curves

Von Neumann's Error

Game Theory: Whose Values?