Title: Kidnapping Model: An Extension of Selten's Game,
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 to 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.