We can overcome uncertainty with uncertainty. Using randomness in our choices and in what we control, and hence in the decision making process, we could potentially offset the uncertainty inherent in the environment and yield better outcomes. The example we develop in greater detail is the news-vendor inventory management problem with demand uncertainty. We briefly discuss areas, where such an approach might be helpful, with the common prescription, “Don’t Simply Optimize, Also Randomize; perhaps best described by the term — Randoptimization”. 1) News-Vendor Inventory Management; 2) School Admissions; 3) Journal Submissions; 4) Job Candidate Selection; 5) Stock Picking; 6) Monetary Policy. This methodology is suitable for the social sciences since the primary source of uncertainty is the members of the system themselves and presently, no methods are known to fully determine the outcomes in such an environment, which perhaps would require being able to read the minds of everyone involved and to anticipate their actions continuously. Admittedly, we are not qualified to recommend whether such an approach is conducive for the natural sciences, unless perhaps, bounds can be established on the levels of uncertainty in a system and it is shown conclusively that a better understanding of the system and hence improved decision making will not alter the outcomes.
Pratt, J.W., Raiffa, H. and Schlaifer, R. (1964) The Foundations of Decision under Uncertainty: An Elementary Exposition. Journal of the American Statistical Association, 59, 353-375. https://doi.org/10.1080/01621459.1964.10482164
Raiffa, H. (2002) Decision Analysis: A Personal Account of How It Got Started and Evolved. Operations Research, 50, 179-185. https://doi.org/10.1287/opre.50.1.179.17797
Ramsey, F.P. (1926) Truth and Probability. Histoy of Economic Thought Chapters, 57, 211-238.
Savage, L.J. (1954) The Foundations of Statistics. Dialectica, 8, 95-111. https://doi.org/10.1111/j.1746-8361.1954.tb01124.x
Kashyap, R. (2017) Microstructure under the Microscope: Tools to Survive and Thrive in The Age of (Too Much) Information. The Journal of Trading, 12, 5-27. https://doi.org/10.3905/jot.2017.12.2.005
Kashyap, R. (2014) Dynamic Multi-Factor Bid-Offer Adjustment Model. The Journal of Trading, 9, 42-55. https://doi.org/10.3905/jot.2014.9.3.042
Lawson, T. (1985) Uncertainty and Economic Analysis. The Economic Journal, 95, 909-927. https://doi.org/10.2307/2233256
Keynes, J.M. (1937) The General Theory of Employment. The Quarterly Journal of Economics, 51, 209-223. https://doi.org/10.2307/1882087
Keynes, J.M. (1971) The Collected Writings of John Maynard Keynes: In 2 Volumes. A Treatise on Money. The Applied Theory of Money. Macmillan for the Royal Economic Society.
Keynes, J.M. (1973) A Treatise on Probability, the Collected Writings of John Maynard Keynes, Vol. VIII.
Hoogduin, L. (1987) On the Difference between the Keynesian, Knightian and the “Classical” Analysis of Uncertainty and the Development of a More General Monetary Theory. De Economist, 135, 52-65. https://doi.org/10.1007/BF01856703
McManus, H. and Hastings, D. (2005) 3.4. 1 A Framework for Understanding Uncertainty and its Mitigation and Exploitation in Complex Systems. INCOSE International Symposium, 15, 484-503.
Kashyap, R. (2015) A Tale of Two Consequences. The Journal of Trading, 10, 51-95. https://doi.org/10.3905/jot.2015.10.4.051
Kashyap, R. (2016) Hong Kong-Shanghai Connect/Hong Kong-Beijing Disconnect, Scaling the Great Wall of Chinese Securities Trading Costs. The Journal of Trading, 11, 81-134. https://doi.org/10.3905/jot.2016.11.3.081
Simon, H.A. (1962) The Architecture of Complexity. Proceedings of the American Philosophical Society, 106, 467-482.
Kashyap, R. (2015) Financial Services, Economic Growth and Well-Being. Indian Journal of Finance, 9, 9-22. https://doi.org/10.17010/ijf/2015/v9i1/71531
Kashyap, R. (2017b) Solving Society’s Big Ills, A Small Step. Asian Social Science, 13, 175-191. https://doi.org/10.5539/ass.v13n4p175
Kashyap, R. (2016) Combining Dimension Reduction, Distance Measures and Covariance. Social Science Research Network (SSRN). Working Paper.
Kleywegt, A.J. and Shapiro, A. (2001) Stochastic Optimization. Handbook of Industrial Engineering. Springer-Verlag, Berlin, 2625-2649. https://doi.org/10.1002/9780470172339.ch102
Arrow, K.J., Harris, T. and Marschak, J. (1951) Optimal Inventory Policy. Econometrica: Journal of the Econometric Society, 19, 250-272. https://doi.org/10.2307/1906813
Chen, F. and Federgruen, A. (2000) Mean-Variance Analysis of Basic Inventory Models. Columbia University, New York.
Cachon, G.P. and Lariviere, M.A. (2005) Supply Chain Coordination with Revenue-Sharing Contracts: Strengths and Limitations. Management Science, 51, 30-44. https://doi.org/10.1287/mnsc.1040.0215
Khouja, M. (1999) The Single-Period (News-Vendor) Problem: Literature Review and Suggestions for Future Research. Omega, 27, 537-553. https://doi.org/10.1016/S0305-0483(99)00017-1
Qin, Y., Wang, R., Vakharia, A.J., Chen, Y. and Seref, M.M. (2011) The News-Vendor Problem: Review and Directions for Future Research. European Journal of Operational Research, 213, 361-374. https://doi.org/10.1016/j.ejor.2010.11.024
Gallego, G. and Moon, I. (1993) The Distribution Free Newsboy Problem: Review and Extensions. Journal of Operational Research Society, 44, 825-834. https://doi.org/10.1057/jors.1993.141
Gallego, G. and Van Ryzin, G. (1994) Optimal Dynamic Pricing of Inventories with Stochastic Demand over Finite Horizons. Management Science, 40, 999-1020. https://doi.org/10.1287/mnsc.40.8.999
Wu, J., Li, J., Wang, S. and Cheng, T.C.E. (2009) Mean-Variance Analysis of the News-Vendor Model with Stockout Cost. Omega, 37, 724-730. https://doi.org/10.1016/j.omega.2008.02.005
Wilson, J.G. and Sorochuk, C. (2013) The News-Vendor Problem with Pricing and Secondary Revenues. Journal of Applied Business and Economics, 14, 11-23.
Rubio-Herrero, J., Baykal-Gürsoy, M. and Jaskiewicz, A. (2015) A Price-Setting News-Vendor Problem under Mean-Variance Criteria. European Journal of Operational Research, 247, 575-587. https://doi.org/10.1016/j.ejor.2015.06.006
Liyanage, L.H. and Shanthikumar, J.G. (2005) A Practical Inventory Control Policy Using Operational Statistics. Operations Research Letters, 33, 341-348. https://doi.org/10.1016/j.orl.2004.08.003
Chu, L.Y., Shanthikumar, J.G. and Shen, Z.J.M. (2008) Solving Operational Statistics via a Bayesian Analysis. Operations Research Letters, 36, 110-116. https://doi.org/10.1016/j.orl.2007.04.010
Kashyap, R. (2015) Fighting Uncertainty with Uncertainty. Social Science Research Network (SSRN). Working Paper.
Taleb, N.N. (2012) The Future Has Thicker Tails than the Past: Model Error as Branching Counterfactuals. arXiv preprint arXiv:1209.2298.
DeGraba, P. (1995) Buying Frenzies and Seller-Induced Excess Demand. The RAND Journal of Economics, 26, 331-342. https://doi.org/10.2307/2555920
Fishman, J.A. and Pasanella, A.K. (1960) College Admission-Selection Studies. Review of Educational Research, 30, 298-310. https://doi.org/10.2307/1168852
Deckro, R.F. and Woundenberg, H.W. (1977) MBA Admission Criteria and Academic Success. Decision Sciences, 8, 765-769. https://doi.org/10.1111/j.1540-5915.1977.tb01120.x
Willingham, W.W. (1985) Success in College: The Role of Personal Qualities and Academic Ability. College Board Publications, New York.
Sorensen, C.W. (1994) Success and Education in South Korea. Comparative Education Review, 38, 10-35. https://doi.org/10.1086/447223
Sandow, P.L., Jones, A.C., Peek, C.W., Courts, F.J. and Watson, R.E. (2002) Correlation of Admission Criteria with Dental School Performance and Attrition. Journal of Dental Education, 66, 385-392.
Zivney, T.L. and Bertin, W.J. (1992) Publish or Perish: What the Competition Is Really Doing. The Journal of Finance, 47, 295-329. https://doi.org/10.1111/j.1540-6261.1992.tb03987.x
Seglen, P.O. (1997) Why the Impact Factor of Journals Should Not Be Used for Evaluating Research. The BMJ, 314, 497. https://doi.org/10.1136/bmj.314.7079.497
Choi, K. (2005) How to Publish in Top Journals Part I. Pan-Pacific Management Review, 8, 91-106.
Lawrence, P.A. (2003) The Politics of Publication. Nature, 422, 259-261. https://doi.org/10.1038/422259a
De Rond, M. and Miller, A.N. (2005) Publish or Perish: Bane or Boon of Academic Life? Journal of Management Inquiry, 14, 321-329. https://doi.org/10.1177/1056492605276850
Taleb, N. (2005) Fooled by Randomness: The Hidden Role of Chance in Life and in the Markets. Random House, New York.
Sweeney, J. and Sweeney, R.J. (1977) Monetary Theory and the Great Capitol Hill Baby Sitting Co-Op Crisis: Comment. Journal of Money, Credit and Banking, 9, 86-89. https://doi.org/10.2307/1992001
Hens, T., Schenk-Hopp, K.R. and Vogt, B. (2007) The Great Capitol Hill Baby Sitting Co-Op: Anecdote or Evidence for the Optimum Quantity of Money? Journal of Money, Credit and Banking, 39, 1305-1333. https://doi.org/10.1111/j.1538-4616.2007.00068.x
Brunk, H.D. (1958) On the Estimation of Parameters Restricted by Inequalities. The Annals of Mathematical Statistics, 29, 437-454. https://doi.org/10.1214/aoms/1177706621
Parzen, E. (1962) On Estimation of a Probability Density Function and Mode. The Annals of Mathematical Statistics, 33, 1065-1076. https://doi.org/10.1214/aoms/1177704472
Nickalls, R.W.D. (1993) A New Approach to Solving the Cubic: Cardan’s Solution Revealed. The Mathematical Gazette, 77, 354-359. https://doi.org/10.2307/3619777
Jaakkola, T.S. and Jordan, M.I. (2000) Bayesian Parameter Estimation via Variational Methods. Statistics and Computing, 10, 25-37. https://doi.org/10.1023/A:1008932416310
Gibbs, A.L. and Su, F.E. (2002) On Choosing and Bounding Probability Metrics. International Statistical Review, 70, 419-435. https://doi.org/10.1111/j.1751-5823.2002.tb00178.x