Title
A logic of propositional control for truthful implementations
Abstract
We introduce a logic designed to support reasoning about social choice functions. The logic includes operators to capture strategic ability, and operators to capture agent preferences. We give 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 show the decidability of the logic 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.
Year
DOI
Venue
2009
10.1145/1562814.1562846
TARK
Keywords
Field
DocType
propositional control,agent preference,social choice function,complete axiomatization,truthful implementation,strategic ability,expected utility,modal logic,projective,query language,logic design,game theory,quantum,formal language,choice function,social choice
Discrete mathematics,Autoepistemic logic,Computer science,Zeroth-order logic,Multimodal logic,Many-valued logic,Predicate logic,Higher-order logic,Intermediate logic,Dynamic logic (modal logic)
Conference
Citations 
PageRank 
References 
1
0.46
3
Authors
3
Name
Order
Citations
PageRank
Nicolas Troquard126629.54
Wiebe Van Der Hoek22566195.77
Michael Wooldridge310010810.27