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A two-trial two-strategy conflict

โœ Scribed by C. Cannings; J.C. Whittaker


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
409 KB
Volume
149
Category
Article
ISSN
0022-5193

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โœฆ Synopsis


Iterated conflicts allow the possibility of co-operative-like behaviour in games such as the Prisoner's Dilemma. The present paper is an attempt to initiate the study of iterated conflicts when, (a) the number of iterations is fixed and finite and (b) the underlying payoff matrix is general, e.g. a mixed Evolutionary Stable Strategy (ESS) could occur in the non-iterated conflict. These assumptions are in contrast to the Iterated Prisoner's Dilemma. We consider a somewhat special case which none the less produces results of an interesting nature. For those cases where there is no internal ESS in the one trial case the two-trial case is easily resolved. When the former has an internal ESS then the two-trial case yields two ESSs whose supports are a partition of the space of strategies.


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