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Majority Rule with Differential Latency: An Absorbing Markov Chain to Model Consensus

  • Gabriele Valentini
  • Mauro Birattari
  • Marco Dorigo
Part of the Springer Proceedings in Complexity book series (SPCOM)

Abstract

We study collective decision-making in a swarm of robots. We consider the majority rule with differential latency: robots randomly form teams, make a decision following the majority rule, and then turn in a latent state whose duration depends on the decision made. While latent, robots do not participate in the decision mechanism, thus, the differential latency provides a positive feedback that favors the decision with the shortest latency. We analyze the dynamics using a discrete, time-homogeneous, absorbing Markov chain.

Notes

Acknowledgements

The research leading to the results presented in this paper has received funding from the European Research Council under the European Union’s Seventh Framework Programme (FP7/2007–2013)/ERC grant agreement no. 246939. Mauro Birattari and Marco Dorigo acknowledge support from the F.R.S.-FNRS of Belgium’s Wallonia-Brussels Federation.

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Copyright information

© Springer International Publishing Switzerland 2013

Authors and Affiliations

  • Gabriele Valentini
    • 1
  • Mauro Birattari
    • 1
  • Marco Dorigo
    • 1
  1. 1.IRIDIA, CoDEUniversité Libre de BruxellesBrusselsBelgium

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