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Evolution in Knockout Conflicts: The Fixed Strategy Case

✍ Scribed by M. Broom; C. Cannings; G.T. Vickers


Publisher
Springer
Year
2000
Tongue
English
Weight
111 KB
Volume
62
Category
Article
ISSN
1522-9602

No coin nor oath required. For personal study only.

✦ Synopsis


A group of individuals resolve their disputes by a knockout tournament. In each round of the tournament, the remaining contestants form pairs which compete, the winners progressing to the next round and the losers being eliminated. The payoff received depends upon how far the player has progressed and a cost is incurred only when it is defeated. We only consider strategies in which individuals are constrained to adopt a fixed play throughout the successive rounds. The case where individuals can vary their choice of behaviour from round to round will be treated elsewhere. The complexity of the system is investigated and illustrated both by special cases and numerical examples.


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