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The stability of Bishop's warfare strategy

Published online by Cambridge University Press:  17 February 2009

Neville J. Hathaway ,
Ian W. Murray  and
Johan A. Rickard
Neville J. Hathaway
Affiliation:
Department of Mathematics, University of Melbourne, Parkville Victoria 3052
Ian W. Murray
Affiliation:
Department of Mathematics, Footscray Institute of Technology Ballarat Road, Footscray Victoria 3011
Johan A. Rickard
Affiliation:
Department of Mathematics, Footscray Institute of Technology Ballarat Road, Footscray Victoria 3011
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Abstract

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The paper analyes the dynamics of duopoly output game involving a warfare strategy proposed by Robert Bishop. Necessary and sufficient conditions are obtained for the stability of a duopoly warfare game.

Type
Research Article
Information
The ANZIAM Journal , Volume 21 , Issue 4 , April 1980 , pp. 418 - 432
Copyright
Copyright © Australian Mathematical Society 1980

References

[1]Bishop, R. L., “Duopoly: Collusion or warfare”, Amer. Economic Review 50 (1960), 933–961.Google Scholar
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[3]Fouraker, L. E. and Siegel, S., Bargaining behaviour (New York, McGraw-Hill, 1963).Google Scholar
[4]McManus, M. and Quandt, R. E., “Comments on the stability of the Cournot oligopoly model”, Rev. of Economic Studies 28 (1961), 136–139.CrossRefGoogle Scholar
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