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Stable and Retrievable Options

Published online by Cambridge University Press:  01 April 2022

Wlodzimierz Rabinowicz*
Affiliation:
Department of Philosophy, Uppsala University

Abstract

An option available to an agent is stable if it maximizes expected utility on the hypothetical assumption that the agent is going to choose it. As is well known, some decision problems lack a stable solution.

Paul Weirich (1986 and 1988) has recently proposed a decision principle which prescribes that the option chosen should be at least weakly stable—or “weakly ratifiable”, to use his terminology. According to him, full stability is an excessively strong demand. I shall argue that Weirich's proposal conflicts with the familiar condition of dominance. But I shall also prove that this difficulty can be avoided if we replace weak stability by “moderate” stability—where the latter property is somewhat stronger than the former.

It will be seen, however, that this modification does not help against other ailments connected with stability. In particular, to heed the demand of stability (of any kind) is to engage in a form of “wishful acting”. Also, the different stability demands all conflict with a close relative of the dominance condition: the condition of “indifference”. According to this condition, two actions are equally choiceworthy if they would always lead to the same outcomes—whatever state the world is in. On the other hand, the conditions of dominance and indifference would both be satisfied if we replaced a demand for stability (of some kind) by a related but distinct principle of “retrievability”. Retrievability and (full) stability are mutually independent properties of options, but each of them entails moderate stability. The paper ends with a discussion of the relevance of retrievability to theories of choiceworthiness and practical reason.

Type
Research Article
Copyright
Copyright © 1989 by the Philosophy of Science Association

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Footnotes

I am greatly indebted to Paul Weirich, Howard Sobel, Kaj Borge Hansen, Sten Lindström and Ellery Eells for their stimulating comments and suggestions.

References

Eells, E. (1985), “Weirich on Decision Instability”, Australasian Journal of Philosophy 63: 473478.CrossRefGoogle Scholar
Gibbard, A., and Harper, W. (1978), “Counterfactuals and Two Kinds of Expected Utility”, in C. A. Hooker et al. (eds.), Foundations and Applications of Decision Theory, vol. 1. Dordrecht: Reidel, pp. 125162.Google Scholar
Harper, W. (1986), “Mixed Strategies and Ratifiability in Causal Decision Theory”, Erkenntnis 24: 25—36.CrossRefGoogle Scholar
Jeffrey, R. C. (1983), The Logic of Decision, 2nd ed. Chicago: University of Chicago Press.Google Scholar
Nozick, R. (1969), “Newcomb's Problem and Two Principles of Choice”, in N. Rescher (ed.), Essays in Honor of Carl G. Hempel. Dordrecht: Reidel.Google Scholar
Rabinowicz, W. (1985), “Ratificationism without Ratification: Jeffrey meets Savage”, Theory and Decision 19: 171200.CrossRefGoogle Scholar
Rabinowicz, W. (1988), “Ratifiability and Stability”, in P. Gärdenfors and N.-E. Sahlin (eds.), Decision, Probability, and Utility. Cambridge: Cambridge University Press, pp. 406425.CrossRefGoogle Scholar
Skyrms, B. (1984), Pragmatics and Empiricism. New Haven: Yale University Press.Google Scholar
Sobel, J. H. (forthcoming), “Maximization, Stability of Decisions, and Actions in Accordance with Reason”, Philosophy of Science.Google Scholar
Weirich, P. (1985), “Decision Instability”, Australasian Journal of Philosophy 63: 465–72.CrossRefGoogle Scholar
Weirich, P. (1986), “Decisions in Dynamic Settings”, PSA 1986, vol. 1. East Lansing, Michigan: Philosophy of Science Association, pp. 438449.Google Scholar
Weirich, P. (1988), “Hierarchical Maximization of Two Kinds of Expected Utility”, Philosophy of Science 55: 560582.CrossRefGoogle Scholar