Deontic Logic for Strategic Games

Erkenntnis 78 (1):183-200 (2013)
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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DOI 10.1007/s10670-011-9349-0
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John Horty (2014). Deontic Modals: Why Abandon the Classical Semantics? Pacific Philosophical Quarterly 95 (4):424-460.

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