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New Trends in Dynamic Games and Applications pp 95–107Cite as

The Big Match on the Integers

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Part of the book series: Annals of the International Society of Dynamic Games ((AISDG,volume 3))

Abstract

A two-person, zero-sum game analogous to the big match is introduced. The game does not fall within any of the classes of games known, by general theorems, to have values. We prove directly that our game has a value and find good strategies for the players.

Research supported by Natiosnal Science Foundation Grants DMS-9123358 and DMS-9423009.

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Author information

Authors and Affiliations

  1. School of Mathematics, University of Minnesota, 55455, Minneapolis, MN, USA

    Bert Fristedt, Stephan Lapic & William D. Sudderth

  2. Department of Mathematics, Case Western Reserve University, 44106, Cleveland, OH, USA

    Bert Fristedt, Stephan Lapic & William D. Sudderth

  3. School of Statistics, University of Minnesota, 55455, Minneapolis, MN, USA

    Bert Fristedt, Stephan Lapic & William D. Sudderth

Authors
  1. Bert Fristedt
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  2. Stephan Lapic
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  3. William D. Sudderth
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Editor information

Editors and Affiliations

  1. Section of Applied Analysis, Delft University of Technology, Mekelweg 4, Delft, The Netherlands

    Geert Jan Olsder

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© 1995 Birkhäuser Boston

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Fristedt, B., Lapic, S., Sudderth, W.D. (1995). The Big Match on the Integers. In: Olsder, G.J. (eds) New Trends in Dynamic Games and Applications. Annals of the International Society of Dynamic Games, vol 3. Birkhäuser Boston. https://doi.org/10.1007/978-1-4612-4274-1_5

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  • DOI: https://doi.org/10.1007/978-1-4612-4274-1_5

  • Publisher Name: Birkhäuser Boston

  • Print ISBN: 978-1-4612-8719-3

  • Online ISBN: 978-1-4612-4274-1

  • eBook Packages: Springer Book Archive

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