Murphy, Roy E (2006): Information Theory and KnowledgeGathering.

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Abstract
It is assumed that human knowledgebuilding depends on a discrete sequential decisionmaking process subjected to a stochastic information transmitting environment. This environment randomly transmits Shannon type informationpackets to the decisionmaker, who examines each of them for relevancy and then determines his optimal choices. Using this set of relevant informationpackets, the decisionmaker adapts, over time, to the stochastic nature of his environment, and optimizes the subjective expected rateofgrowth of knowledge. The decisionmaker’s optimal actions, lead to a decision function that involves his view of the subjective entropy of the environmental process and other important parameters at each stage of the process. Using this model of human behavior, one could create psychometric experiments using computer simulation and real decisionmakers, to play programmed games to measure the resulting human performance.
Item Type:  MPRA Paper 

Original Title:  Information Theory and KnowledgeGathering 
Language:  English 
Keywords:  decisionmaking; dynamic programming; entropy; epistemology; information theory; knowledge; sequential processes; subjective probability 
Subjects:  C  Mathematical and Quantitative Methods > C6  Mathematical Methods ; Programming Models ; Mathematical and Simulation Modeling > C61  Optimization Techniques ; Programming Models ; Dynamic Analysis 
Item ID:  16 
Depositing User:  Roy E Murphy 
Date Deposited:  23 Sep 2006 
Last Modified:  02 Oct 2019 04:44 
References:  1. Monograph: Arrow, K. (1961) “The Economic Implications if Learning by Doing,” Tech. Report No. 101, “Institute for Mathematical Studies in the Social Sciences,” Stanford Univ. Press 2. Journal: Arrow, K.,(1996) “The Economics of Information: An Exposition,” Empirica, Kluwer Academic Publishers, Netherlands, pp 119128 3. Journal: Bellman, R., and Kalaba, R., (1960) IRE Trans. on Automatic Control, Vol. AC5, pp 510 4. Book: Birkhoff, G. D., (1927), “Dynamical Systems,” AMS Colloquium Publications, N.Y., N.Y. vol. 9 5. Book: Brillouin, L., (1963) “Science and Information Theory,” Academic Press, New York, pp 123 6. Book: Carnap, R. (1950), “Logical Foundations of Probability,” Univ. of Chicago Press, Chicago 7. Book: Doob, J., (1952) “Stochastic Processes,” Chapter V. “Markov Processes – Discrete Parameter,” John Wiley & Sons, New York, pp 170234 8. Book: Dretske, Fred, (1999) “Knowledge and the flow of Information,” CSLI Publications, Center for the Study of Language and Information, Stanford, Stanford CA. 9. Monograph: von Foerster, H., (1967) “Memory Without Record,” Artorga, Hampshire, England, pp 404406 10. Journal: Foster, D.J and Wilson, M. A., (2006) “Reverse replay of behavioural sequences in hippocampal place cells during the awake state,” Nature 440, pp 680683 11. Book: Good, I., “The Estimation of Probabilities – An Essay on Modern Bayesian Methods,” MIT Research Monograph No. 30, Cambridge, MA., pp 620 12. Book: Hadamard, J., (1954) “The Psychology of Invention in the Mathematical Field,” Dover Publications, N.Y., N.Y., pp 2163 13. Book: Khinchin, A. (1957) “Mathematical Foundations of Information Theory,” (Translation of “The Entropy Concept in Probability Theory,” in Uspekhi Matematicheskikh Nauk, Vol. VIII, No. 3) Dover Publications, N.Y., N.Y. pp 128 14. Symposium: Kuhn, H.W. and Tucker, A.W., (1951) “Nonlinear Programming,” Proceedings of the Second Berkeley Symposium on Mathematical Statistics and Probability. University of California Press, Berkeley, pp 481492 15. Monograph: Marschak, J., (1960) “Remarks on the Economics of Information,” Cowles Foundation Paper No. 146, Cowles Foundation for Economic Reasearch in Economics, Yale, New Haven, 9297. 16. Book: Murphy, R., (1965) “Adaptive Processes in Economic Systems,” Academic Press, N.Y., N.Y., pp 130139 17. Book: Poincaré, H., (1952) “Science and Method,” Dover Publications, N.Y., N.Y., pp 4663 18. Book: Prigogine, I., (1996) “The End of Certainty,” Free Press, N.Y., N.Y., pp 6670 19. Book: Reichenbach, H. (1999) “The Direction of Time,” Dover Publications, N.Y., N.Y. 20. Journal: Shannon, C. (1948) “A Mathematical Theory of Communication, Bell System Tech Journal, pp 3790423, pp 623656 21. Book: Somenzi, V., (1965) “Entropy, Information, and the MindBody Problem,” in “Information and Prediction in Science,” Dockx, S. and Bernays, P. (Eds), Academic Press, New York, N.Y. pp 229235 22. Book: Wagner, H., (1969) “Principles of Operations Research,” PrenticeHall, New Jersey, pp 466471 23. Journal: Walker, M., (2006) “Sleep to Remember,” American Scientist, Vol. 94, No. 4, pp 325333 
URI:  https://mpra.ub.unimuenchen.de/id/eprint/16 