9 research outputs found
Strategic Coalitions with Perfect Recall
The paper proposes a bimodal logic that describes an interplay between distributed knowledge modality and coalition know-how modality. Unlike other similar systems, the one proposed here assumes perfect recall by all agents. Perfect recall is captured in the system by a single axiom. The main technical results are the soundness and the completeness theorems for the proposed logical system
Blameworthiness in Strategic Games
There are multiple notions of coalitional responsibility. The focus of this
paper is on the blameworthiness defined through the principle of alternative
possibilities: a coalition is blamable for a statement if the statement is
true, but the coalition had a strategy to prevent it. The main technical result
is a sound and complete bimodal logical system that describes properties of
blameworthiness in one-shot games
Knowledge and Blameworthiness
Blameworthiness of an agent or a coalition of agents is often defined in
terms of the principle of alternative possibilities: for the coalition to be
responsible for an outcome, the outcome must take place and the coalition
should have had a strategy to prevent it. In this article we argue that in the
settings with imperfect information, not only should the coalition have had a
strategy, but it also should have known that it had a strategy, and it should
have known what the strategy was. The main technical result of the article is a
sound and complete bimodal logic that describes the interplay between knowledge
and blameworthiness in strategic games with imperfect information
Tableaux for the Logic of Strategically Knowing How
The logic of goal-directed knowing-how extends the standard epistemic logic
with an operator of knowing-how. The knowing-how operator is interpreted as
that there exists a strategy such that the agent knows that the strategy can
make sure that p. This paper presents a tableau procedure for the multi-agent
version of the logic of strategically knowing-how and shows the soundness and
completeness of this tableau procedure. This paper also shows that the
satisfiability problem of the logic can be decided in PSPACE.Comment: In Proceedings TARK 2023, arXiv:2307.0400
Second-Order Know-How Strategies
The fact that a coalition has a strategy does not mean that the coalition knows what the strategy is. If the coalition knows the strategy, then such a strategy is called a know-how strategy of the coalition. The paper proposes the notion of a second-order know-how strategy for the case when one coalition knows what the strategy of another coalition is. The main technical result is a sound and complete logical system describing the interplay between the distributed knowledge modality and the second-order coalition know-how modality
Duty to Warn in Strategic Games
The paper investigates the second-order blameworthiness or duty to warn
modality "one coalition knew how another coalition could have prevented an
outcome". The main technical result is a sound and complete logical system that
describes the interplay between the distributed knowledge and the duty to warn
modalities.Comment: Proc. of the 19th International Conference on Autonomous Agents and
Multiagent Systems (AAMAS 2020) May 9--13, 2020, Auckland, New Zealand, B.
An, N. Yorke-Smith, A. El Fallah Seghrouchni, G.~Sukthankar (eds.). arXiv
admin note: substantial text overlap with arXiv:1811.0244