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The expected time to end the tug-of-war in a wedge
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  • Published: 24 November 2011

The expected time to end the tug-of-war in a wedge

  • Dante DeBlassie1 &
  • Robert G. Smits1 

Probability Theory and Related Fields volume 155, pages 347–378 (2013)Cite this article

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Abstract

Using a solution of a nonhomogeneous partial differential equation involving the p-Laplacian, we study the finiteness of the expected time to end the tug-of-war in a wedge.

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Authors and Affiliations

  1. Department of Mathematical Sciences, New Mexico State University, P.O. Box 30001, Department 3MB, Las Cruces, NM, 88003-8001, USA

    Dante DeBlassie & Robert G. Smits

Authors
  1. Dante DeBlassie
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  2. Robert G. Smits
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Corresponding author

Correspondence to Dante DeBlassie.

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Cite this article

DeBlassie, D., Smits, R.G. The expected time to end the tug-of-war in a wedge. Probab. Theory Relat. Fields 155, 347–378 (2013). https://doi.org/10.1007/s00440-011-0400-5

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  • Received: 08 February 2011

  • Revised: 04 November 2011

  • Published: 24 November 2011

  • Issue Date: February 2013

  • DOI: https://doi.org/10.1007/s00440-011-0400-5

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Keywords

  • Tug-of-war
  • Wedge
  • p-Harmonic functions
  • Inhomogeneous game p-Laplacian
  • Expected time to end the game
  • Critical angle

Mathematics Subject Classification (2000)

  • Primary 60G40
  • 60K99
  • 91A15
  • 35J92
  • Secondary 91A24
  • 60G42
  • 35B65
  • 34A34
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