2019
DOI: 10.1016/j.disc.2018.10.041
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The epistemic gossip problem

Abstract: In the gossip problem information ('secrets') must be shared among a certain number of agents using the minimum number of calls. We extend the gossip problem to arbitrary epistemic depths. For example, we may require not only that all agents know all secrets but also that all agents know that all agents know all secrets. We give optimal protocols for various versions of this epistemic gossip problem, depending on the graph of communication links, in the case of two-way communication, one-way communication and … Show more

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Cited by 13 publications
(16 citation statements)
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“…The authors in [ 128 ] optimized the Byzantine consensus algorithm by adopting time sequence and gossip protocol [ 129 ] to validate IoV information for correctness before adding them to the consortium blockchain. The use of gossip protocol, specifically the push–pull mode, enables faster data exchange among IoV nodes, as each two neighboring nodes can have the same information in one cycle.…”
Section: Blockchain-based Authentication Schemes In Vehicular Networkmentioning
confidence: 99%
“…The authors in [ 128 ] optimized the Byzantine consensus algorithm by adopting time sequence and gossip protocol [ 129 ] to validate IoV information for correctness before adding them to the consortium blockchain. The use of gossip protocol, specifically the push–pull mode, enables faster data exchange among IoV nodes, as each two neighboring nodes can have the same information in one cycle.…”
Section: Blockchain-based Authentication Schemes In Vehicular Networkmentioning
confidence: 99%
“…Let G 1 be modification of G 1 that is obtained by replacing the actions Call i j by Tcall i j of Example 6. Then G 1 can be solved in log 2 n steps of parallel calls if the number of agents n is even, and in log 2 n + 1 steps if n is odd (Bavelas 1950;Landau 1954;Knödel 1975;Cooper et al 2019). For instance, for n = 4 the parallel plan {Tcall 1 2 , Tcall 3 4 }, {Tcall 1 3 , Tcall 2 4 } is a solution of G 1 with 2 steps.…”
Section: Solvability By Parallel Plansmentioning
confidence: 99%
“…We here apply it to parallel epistemic planning: we provide a reduction of EL-O-based parallel planning to classical planning, which allows us to translate planning tasks into PDDL and use classical planners. We illustrate our approach with a parallel version of the epistemic gossip problem (Cooper et al 2019) where n agents initially each know their secret but not the others'; agents can exchange all secrets they know during a phone call to another agent; and the goal is to achieve shared knowledge of all secrets, i.e., everybody knows every secret. A parallel solution is a sequence of sets of calls.…”
Section: Introductionmentioning
confidence: 99%
“…The failure to reach a sufficiently high level of coordination for the 2n − 4 solution has lead to many papers on the gossip problem where calls are made randomly [19,22,27,25,28], and more recently to a new wave of papers on the gossip problem that study epistemic protocols [6,1,37,7,26,3,40,4,17]. A protocol, in this context, is simply a list of instructions of the form "if the condition ϕ ab is true, agent a should call agent b".…”
Section: The Gossip Problemmentioning
confidence: 99%