Deontic logic for strategic games

Erkenntnis 78 (1):183-200 (2013)
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We develop a multi-agent deontic action logic to study the logical behaviour of two types of deontic conditionals: (1) conditional obligations, having the form "If group H were to perform action aH, then, in group F's interest, group G ought to perform action aG" and (2) conditional permissions, having the form "If group H were to perform action aH, then, in group F's interest, group G may perform action aG". First, we define a formal language for multi-agent deontic action logic and a class of consequentialist models to interpret the formulas of the language. Second, we define a transformation that converts any strategic game into a consequentialist model. Third, we show that an outcome a* is a Nash equilibrium of a strategic game if and only if a conjunction of certain conditional permissions is true in the consequentialist model that results from the transformation of that strategic game.



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Allard Tamminga
University of Greifswald

Citations of this work

Deontic logic.Paul McNamara - 2010 - Stanford Encyclopedia of Philosophy.
The irreducibility of collective obligations.Allard Tamminga & Frank Hindriks - 2020 - Philosophical Studies 177 (4):1085-1109.
Deontology of Compound Actions.Janusz Czelakowski - 2020 - Studia Logica 108 (1):5-47.
Deontic Modals: Why Abandon the Classical Semantics?John Horty - 2014 - Pacific Philosophical Quarterly 95 (4):424-460.
Combinations of Stit with Ought and Know.Ming Xu - 2015 - Journal of Philosophical Logic 44 (6):851-877.

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References found in this work

Group agency: the possibility, design, and status of corporate agents.Christian List & Philip Pettit - 2011 - New York: Oxford University Press. Edited by Philip Pettit.
Facing the future: agents and choices in our indeterminist world.Nuel D. Belnap - 2001 - New York: Oxford University Press. Edited by Michael Perloff & Ming Xu.
Agency and deontic logic.John Horty - 2001 - New York: Oxford University Press.
Deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.
I. deontic logic.G. H. von Wright - 1951 - Mind 60 (237):1-15.

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