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Question 2: Given that human actions are consequences of two (or more) dissociable processes, namely habitual and goal-directed processes, what (if any) are the consequences for decision theory?

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Focus on a single application of decision theory in your answer. (And be sure you understand what 'application' means in this context.)

Check the glossary entry on decision theory, habitual process goal-directed process, dual-process theory of instrumental action, and primary motivational state.

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Glossary

decision theory : I use ‘decision theory’ for the theory elaborated by Jeffrey (1983). Variants are variously called ‘expected utility theory’ (Hargreaves-Heap & Varoufakis, 2004), ‘revealed preference theory’ (Sen, 1973) and ‘the theory of rational choice’ (Sugden, 1991). As the differences between variants are not important for our purposes, the term can be used for any of core formal parts of the standard approaches based on Ramsey (1931) and Savage (1972).
dual-process theory of instrumental action : Instrumental action ‘is controlled by two dissociable processes: a goal-directed and an habitual process’ (Dickinson, 2016, p. 177). (See instrumental action.)
goal-directed process : A process which involves ‘a representation of the causal relationship between the action and outcome and a representation of the current incentive value, or utility, of the outcome’ and which influences an action ‘in a way that rationalizes the action as instrumental for attaining the goal’ (Dickinson, 2016, p. 177).
habitual process : A process underpinning some instrumental actions which obeys Thorndike’s Law of Effect: ‘The presenta­tion of an effective [=rewarding] outcome following an action [...] rein­forces a connection between the stimuli present when the action is per­formed and the action itself so that subsequent presentations of these stimuli elicit the [...] action as a response’ (Dickinson, 1994, p. 48). (Interesting complication which you can safely ignore: there is probably much more to say about under what conditions the stimulus–action connection is strengthened; e.g. Thrailkill, Trask, Vidal, Alcalá, & Bouton, 2018.)
primary motivational state : A state such as hunger, thirst, satiety, aversion or sexual arousal. Primary motivational states are closely linked to biological needs. They are not all acquired through learning; and learning has limited effects on them, although classical conditioning can modify them (Capaldi, Hunter, & Lyn, 1997).

References

Balleine, B. (1992). Instrumental performance following a shift in primary motivation depends on incentive learning. Journal of Experimental Psychology: Animal Behavior Processes, 18, 236–250. https://doi.org/10.1037/0097-7403.18.3.236
Capaldi, E. D., Hunter, M. J., & Lyn, S. A. (1997). Conditioning with taste as the CS in conditioned flavor preference learning. Animal Learning & Behavior, 25(4), 427–436. https://doi.org/10.3758/BF03209849
Davidson, D. (1974). Belief and the basis of meaning. In Inquiries into truth and interpretation (pp. 141–154). Oxford: Oxford University Press.
Dickinson, A. (1994). Instrumental conditioning. In N. Mackintosh (Ed.), Animal learning and cognition. London: Academic Press.
Dickinson, A. (2016). Instrumental conditioning revisited: Updating dual-process theory. In J. B. Trobalon & V. D. Chamizo (Eds.), Associative learning and cognition (Vol. 51, pp. 177–195). Edicions Universitat Barcelona.
Dickinson, A., & Pérez, O. D. (2018). Actions and Habits: Psychological Issues in Dual-System Theory. In R. Morris, A. Bornstein, & A. Shenhav (Eds.), Goal-Directed Decision Making (pp. 1–25). Academic Press. https://doi.org/10.1016/B978-0-12-812098-9.00001-2
Hargreaves-Heap, S., & Varoufakis, Y. (2004). Game theory: A critical text. London: Routledge. Retrieved from http://webcat.warwick.ac.uk/record=b2587142~S1
Jeffrey, R. C. (1983). The logic of decision, second edition. Chicago: University of Chicago Press.
Ramsey, F. (1931). Truth and probability. In R. Braithwaite (Ed.), The foundations of mathematics and other logical essays. London: Routledge.
Savage, L. J. (1972). The foundations of statistics (2nd rev. ed). New York: Dover Publications.
Sen, A. (1973). Behaviour and the Concept of Preference. Economica, 40(159), 241–259. https://doi.org/10.2307/2552796
Sugden, R. (1991). Rational Choice: A Survey of Contributions from Economics and Philosophy. The Economic Journal, 101(407), 751–785. https://doi.org/10.2307/2233854
Thrailkill, E. A., Trask, S., Vidal, P., Alcalá, J. A., & Bouton, M. E. (2018). Stimulus control of actions and habits: A role for reinforcer predictability and attention in the development of habitual behavior. Journal of Experimental Psychology: Animal Learning and Cognition, 44, 370–384. https://doi.org/10.1037/xan0000188