Abstract
An expected utility model is formulated and axiomatized which allows the decision maker to specify his actions in the form of partial rather than complete contingency plans, and to simultaneously choose goals and actions in end-mean pairs. Both utility and probability are conditioned on selected goals and actions, and both are defined over the same set of events. For adaptive sequential decision problems this symmetrical treatment of utility and probability permits the expected utility criterion function to be directly updated in each decision period via transitional utility assessments in a manner analogous to Bayes' rule for updating probability distributions.
Similar content being viewed by others
References
Balch, M. S. and Fishburn, P. C., ‘Subjective Expected Utility for Conditional Primitives’, in M. S. Balch, D. L. McFadden, and S. Y. Wu (eds.), Essays on Economic Behavior Under Uncertainty, North-Holland Publishing Company, Amsterdam, 1974, pp. 57–69.
Bolker, E. D., Remarks on ‘Subjective Expected Utility for Conditional Primitives’, in M. S. Balch, D. L. McFadden, and S. Y. Wu (eds.), Essays on Economic Behavior Under Uncertainty, North-Holland Publishing Company, Amsterdam, 1974, pp. 79–82.
Cyert, R. M. and March, J. G., A Behavioral Theory of the Firm, Prentice-Hall, Inc., New Jersey, 1963.
Dreze, J. H., ‘Axiomatic Theories of Choice, Cardinal Utility and Subjective Probability: a Review’, in Allocation Under Uncertainty: Equilibrium and Optimality, John Wiley & Sons, New York, 1974, pp. 3–23.
Fishburn, P. C., Utility Theory for Decision Making, John Wiley and Sons, New York, 1970.
Kraft, C., Pratt, J. and Seidenberg, A., ‘Intuitive Probability on Finite Sets’, Ann. Math. Statist. 30 (1959), 408–419.
Krantz, D. H. and Luce, R. D., ‘The Interpretation of Expected-Utility Theories’, in M. S. Balch, D. L. McFadden, and S. Y. Wu (eds.), Essays on Economic Behavior Under Uncertainty, North-Holland Publishing Company, Amsterdam, 1974, pp. 57–69.
Krantz, D. H., Luce, R., Suppes, P., and Tversky, A., Foundations of Measurement, Volume I, Academic Press, New York, 1971.
Pratt, J. W., ‘Some Comments on Some Axioms for Decision Making Under Uncertainty’, in M. S. Balch, D. L. McFadden, and S. Y. Wu (eds.), Essays on Economic Behavior Under Uncertainty, North-Holland Publishing Company, Amsterdam, 1974, pp. 82–92.
Savage, L., The Foundations of Statistics, Second Revised Edition, Dover Publications, Inc., N.Y., 1972.
Scott, D., ‘Measurement Structures and Linear Inequalities’, J. Math. Psych. 1 (1964), 233–247.
Simon, H., ‘Theories of Bounded Rationality’, in Decision and Organization, in Honor of Jacob Marschak, North-Holland Publishing Company, Amsterdam, 1972, pp. 161–176.
Szpilrajn, E., ‘Sur l'Extension de l'Ordre Partiel’, Fund. Math. XVI (1930), 386–389.
Tesfatsion, L., An Expected Utility Model with Endogenously Determined Goals, Discussion Paper 58, Center for Economic Research, University of Minnesota, Minneapolis, September, 1975.
Tesfatsion, L., Axiomatization for an Expected Utility Model with Endogenously Determined Goals, Discussion Paper 59, Center for Economic Research, University of Minnesota, Minneapolis, September, 1975.
Tesfatsion, L., ‘A New Approach to Filtering and Adaptive Control’, J. Optimization Theory Appl., Vol. 25, June 1978, 247–261.
Tesfatsion, L., ‘A New Approach to Filtering and Adaptive Control: Stability Results’, Appl. Math. Comput. 4 (1978), 27–44.
Tesfatsion, L., ‘A New Approach to Filtering and Adaptive Control: Optimality Results’, J. Cybernetics 7 (1977), 133–146.
Kalaba, R. E., and Tesfatsion, L., ‘Two Solution Techniques for Adaptive Reinvestment: A Small Sample Comparison’, J. Cybernetics 8 (1978), 101–111.
Tinbergen, J., Economic Policy: Principles and Design, North-Holland Publishing Company, Amsterdam, 1956.
Author information
Authors and Affiliations
Additional information
This study is a condensed revised version of discussion papers [14] and [15]. Research underlying this paper was supported by National Science Foundation Grants GS-31276X and GS-35682X. Valuable comments by Professors J. S. Chipman, C. Hildreth, L. Hurwicz, I. Richards, and M. K. Richter are gratefully acknowledged.
Rights and permissions
About this article
Cite this article
Tesfatsion, L. A conditional expected utility model for myopic decision makers. Theor Decis 12, 185–206 (1980). https://doi.org/10.1007/BF00154361
Issue Date:
DOI: https://doi.org/10.1007/BF00154361