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Two probability theories and a garbage can

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Abstract

Since its nascence, computational organization theory has predominantly relied on classical probability theory to model and simulate organizational properties. However, key assumptions of classical probability theory conflict with empirical observations of organizational behaviors and processes, thereby raising the question if an alternate theoretical basis for probabilistic modeling of organizations might improve the relevancy of computational organization research. In the context of the garbage can model of organizational decision-making, this paper provides two examples—order effects and system measurement—to illustrate the inadequacy of classical probability theory and to stimulate discussion on the merits of incorporating quantum probability theory in computational models. This paper recommends that future work explore the sensitivity of computational organization theory models to probability theories, the impacts associated theoretical assumptions might have on modeling and simulating dynamic organizational interdependencies, and the implications to community practices.

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Notes

  1. The terms occurrences, outcomes, and events are used synonymously in CPT.

  2. According to the distributive axiom, the grou** of operations has no impact on outcomes. As Boole states, “The result of an action of election is independent of the grou** or classification of the subject” (1948, p. 16). In contrast, the commutative axiom specifies the order of operations has no impact on outcomes. The distributive axiom is central to the Law of Total Probability.

  3. The 1928–1932 Hawthorne studies were instrumental in the development of the neo-classical, or Human Relations, school of organization theory approximately ten years later. Thus, the organization sciences community has had access to empirical evidence for nearly 75 years that CPT might not comprehensively describe organizational properties and behaviors.

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Acknowledgements

This research is funded by America’s Sea Land Air Military Research Initiative at the Naval Postgraduate School and the Naval Undersea Warfare Center Division, Keyport.

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Correspondence to David Mortimore.

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Mortimore, D., Canan, M. & Buettner, R.R. Two probability theories and a garbage can. Comput Math Organ Theory 30, 148–160 (2024). https://doi.org/10.1007/s10588-023-09378-3

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  • DOI: https://doi.org/10.1007/s10588-023-09378-3

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