Completeness of coalition logics with seriality, independence of agents, or determinism

Fuente: arXiv
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Main Authors: Li, Yinfeng, Ju, Fengkui
Format: Preprint
Published: 2024
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author Li, Yinfeng
Ju, Fengkui
author_facet Li, Yinfeng
Ju, Fengkui
contents Coalition Logic is a central logic in logical research on strategic reasoning. In a recent paper, Li and Ju argued that generally, models of Coalition Logic, concurrent game models, have three too strong assumptions: seriality, independence of agents, and determinism. They presented a Minimal Coalition Logic based on general concurrent game models, which do not have the three assumptions. However, when constructing coalition logics about strategic reasoning in special kinds of situations, we may want to keep some of the assumptions. Thus, studying coalition logics with some of these assumptions makes good sense. In this paper, we show the completeness of these coalition logics in a uniform way.
format Preprint
id arxiv_https___arxiv_org_abs_2409_14635
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Completeness of coalition logics with seriality, independence of agents, or determinism
Li, Yinfeng
Ju, Fengkui
Computer Science and Game Theory
Logic
Coalition Logic is a central logic in logical research on strategic reasoning. In a recent paper, Li and Ju argued that generally, models of Coalition Logic, concurrent game models, have three too strong assumptions: seriality, independence of agents, and determinism. They presented a Minimal Coalition Logic based on general concurrent game models, which do not have the three assumptions. However, when constructing coalition logics about strategic reasoning in special kinds of situations, we may want to keep some of the assumptions. Thus, studying coalition logics with some of these assumptions makes good sense. In this paper, we show the completeness of these coalition logics in a uniform way.
title Completeness of coalition logics with seriality, independence of agents, or determinism
topic Computer Science and Game Theory
Logic
url https://arxiv.org/abs/2409.14635