一种用于真实实现的命题控制逻辑

N. Troquard, W. Hoek, M. Wooldridge
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引用次数: 5

摘要

我们引入了一个逻辑来支持社会选择函数的推理。其逻辑包括运营商获取战略能力和运营商获取代理偏好。我们给出了逻辑中的公式与社会选择函数的性质之间的对应关系,并证明了关于社会选择函数的逻辑是表达完备的,即每个社会选择函数都可以被表征为逻辑的公式。我们证明了逻辑的可决性,并给出了一个完全的公理化。为了证明逻辑的价值,我们特别展示了如何将其应用于确定社会选择函数是否具有策略证明性的问题。
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A logic of propositional control for truthful implementations
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.
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