Full and Local Information in Distributed Decision Making

We consider the following distributed optimization problem: three agents i = 1, 2, 3 are each presented with a load drawn independently from the same known prior distribution. Then each agent decides on which of two available bins to put her load. Each bin has capacity α, and the objective is to find a distributed protocol that minimizes the probability that an overflow occurs (or, equivalently, maximizes the winning probability). In this work, we focus on the cases of full information and local information, depending on whether each agent knows the loads of both other agents or not. Furthermore, we distinguish between the cases where the agents are allowed to follow different decision rules (eponymous model) or not (anonymous model). We assume no communication among agents. First, we present optimal protocols for the full information case, for both the anonymous and the eponymous model. For the local information, anonymous case, we show that the winning probability is upper bounde...

• Type: Conference
• Year: 2007
• Where: WAOA
• Authors: Panagiota N. Panagopoulou, Paul G. Spirakis
• Keywords: Algorithms, Eponymous Model, Local Information, Optimal Protocol, WAOA 2007