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A logic of communication graphs. In Proceedings of DALT-04. Springer-Verlag, 2004. 15. Rohit Parikh. Social software. Synthese, 132, 2002. 16. Rohit Parikh, Eric Pacuit, and Eva Cogan. The logic of knowledge based obligations. In Proceedings of DALT-2004. Springer Verlag, 2004. 17. Mark Satterthwaite. The Existence of a Strategy Proof Voting Procedure: a Topic in Social Choice Theory. PhD thesis, University of Wisconsin, 1973. 18. J. van Benthem. Rational dynamics and epistemic logic in games. Technical report, ILLC, 2003.
We do not need to impose any allowedness conditions on queries. 3 The CIFF Proof Procedure We are now going to formally introduce the CIFF proof procedure. The input to the procedure consists of a theory Th, a set of integrity constraints IC, and a query Q. There are three possible outputs: (1) the procedure succeeds and indicates an answer to the query Q; (2) the procedure fails, thereby indicating that there is no answer; and (3) the procedure reports that computing an answer is not possible, because a critical part of the input is not allowed.
Fix a voting model and a knowledge graph If is directed and acyclic then the strategizing function will stabilize at level where is the height of the graph can cycle only if the associated knowledge graph has a cycle. Proof. Since is a directed acyclic graph, there is at least one agent such that By assumption such an agent will vote according to at every stage. Let and Given (by induction on that the agents in stabilized by level an agent need only wait rounds, then choose the strategy according to The following is an example of a situation in which the associated strategizing function never stabilizes: Example 2.