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Type: Journal article
Title: Kidnapping model: an extension of Selten’s game
Author: Iqbal, A.
Masson, V.
Abbott, D.
Citation: Royal Society Open Science, 2017; 4(12):171484-1-171484-10
Publisher: The Royal Society
Issue Date: 2017
ISSN: 2054-5703
Statement of
Azhar Iqbal, Virginie Masson and Derek Abbott
Abstract: Selten’s game is a kidnapping model where the probability of capturing the kidnapper is independent of whether the hostage has been released or executed. Most often, in view of the elevated sensitivities involved, authorities put greater effort and resources into capturing the kidnapper if the hostage has been executed, in contrast with the case when a ransom is paid to secure the hostage’s release. In this paper, we study the asymmetric game when the probability of capturing the kidnapper depends on whether the hostage has been executed or not and find a new uniquely determined perfect equilibrium point in Selten’s game.
Keywords: Game theory; kidnapping; Selten’s model of kidnapping; subgame perfection
Rights: ©2017 The Authors. Published by the Royal Society under the terms of the Creative Commons Attribution License, which permits unrestricted use, provided the original author and source are credited.
DOI: 10.1098/rsos.171484
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Electrical and Electronic Engineering publications

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