Decision and Game Theory for Security by Unknown

Author:Unknown
Language: eng
Format: epub, pdf
ISBN: 9783030324308
Publisher: Springer International Publishing

Here, if HA or MA deviate and play and DM chooses A, HA will receive a payoff of if it plays and will receive a payoff of if it plays . On the other hand, MA will receive a payoff of if it plays and will receive a payoff of if it plays . Thus, in this case, there will be a pooling equilibrium if and only if:

Here, if HA or MA deviate and play and DM chooses B, HA will receive a payoff compared to if it plays , while MA will receive a payoff of compared to if it plays . Thus, in this particular case, HA and MA do not have any incentive to deviate as well. In summary, an equilibrium on APP’s pooling strategy of () also exists when .

As the proof of a pooling equilibrium on the APP strategy of follows an analogous methodology, it is omitted to conserve space. In summary, equilibrium on the APP’s pooling strategy of () exists when , or when . For complete proofs, please refer to [9].

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