Journal of Philosophical Logic 40 (4):473-498 (2011)

Wiebe Van Der Hoek
University of Liverpool
We introduce a logic specifically designed to support reasoning about social choice functions. The logic includes operators to capture strategic ability, and operators to capture agent preferences. We establish a correspondence between formulae in the logic and properties of social choice functions, and show that the logic is expressively complete with respect to social choice functions, i.e., that every social choice function can be characterised as a formula of the logic. We prove that the logic is decidable, and give a complete axiomatization. To demonstrate the value of the logic, we show in particular how it can be applied to the problem of determining whether a social choice function is strategy-proof
Keywords Knowledge representation  Social choice theory  Modal logic  Strategic ability  Preferences  Strategy-proofness
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DOI 10.1007/s10992-011-9189-z
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Modal Logic: An Introduction.Brian F. Chellas - 1980 - Cambridge University Press.

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