For additional information email **Barzilai@dal.ca**.

Jonathan Barzilai, *On Neural-Network Training Algorithms,* 2019. **View**

Jonathan Barzilai, "A Spectrum Algorithm and Optimization Notes," *Pure and Applied Functional Analysis*, Volume 3, Number 4, pp. 533–536, 2018. **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.