Please use this identifier to cite or link to this item:
https://hdl.handle.net/2440/115060
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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 2054-5703 |
Statement of Responsibility: | 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 http://creativecommons.org/licenses/by/4.0/, which permits unrestricted use, provided the original author and source are credited. |
DOI: | 10.1098/rsos.171484 |
Published version: | http://dx.doi.org/10.1098/rsos.171484 |
Appears in Collections: | Aurora harvest 8 Electrical and Electronic Engineering publications |
Files in This Item:
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hdl_115060.pdf | Published version | 467.01 kB | Adobe PDF | View/Open |
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