Royal Society Open Science
Volume 4, Issue 12, 2017

Kidnapping model: An extension of selten’s game (Article) (Open Access)

Iqbal A.* , Masson V. , Abbott D.
  • a School of Electrical & Electronic Engineering, University of AdelaideSA 5005, Australia
  • b School of Economics, University of AdelaideSA 5005, Australia
  • c School of Electrical & Electronic Engineering, University of AdelaideSA 5005, Australia

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. © 2017 The Authors.

Author Keywords

kidnapping Game theory Selten’s model of kidnapping Subgame perfection

Index Keywords

[No Keywords available]
Link
https://www.scopus.com/inward/record.uri?eid=2-s2.0-85037648958&doi=10.1098%2frsos.171484&partnerID=40&md5=4443f95dce80aba80ceb5ce8b67ac852
DOI: 10.1098/rsos.171484
ISSN: 20545703
Original Language: English