David Bourget (Western Ontario)
David Chalmers (ANU, NYU)
Rafael De Clercq
Jack Alan Reynolds
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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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References found in this work BETA
Christian List (2011). Group Agency: The Possibility, Design, and Status of Corporate Agents. Oxford University Press.
Nuel D. Belnap (2001). Facing the Future: Agents and Choices in Our Indeterminist World. Oxford University Press on Demand.
John Francis Horty (2001). Agency and Deontic Logic. Oxford University Press.
Citations of this work BETA
Ming Xu (forthcoming). Combinations of Stit with Ought and Know. Journal of Philosophical Logic:1-27.
John Horty (2014). Deontic Modals: Why Abandon the Classical Semantics? Pacific Philosophical Quarterly 95 (4):424-460.
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