Consider a game between a sender and a receiver in a network security game. Sender can be malicious or regular type/ Receiver can be honey-pot or regular type. Malicious sender has 2 actions available. Forward the packet or attack. Regular sender has only one action: forward. Honey-pot receiver has two actions available: monitor or do nothing

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4) Consider a game between a sender and a receiver in a network security game. Sender
can be malicious or regular type/ Receiver can be honey-pot or regular type. Malicious
sender has 2 actions available. Forward the packet or attack. Regular sender has only
one action: forward. Honey-pot receiver has two actions available: monitor or do nothing.
CA : attack cost. Cm : Monitoring cost to the receiver
Forwarding does not include any costs
If malicious sender attacks and receiver is monitoring receiver gets 5-Cm payoff,
sender gets -5 -CA cost. If malicious sender attacks and receiver is not
monitoring, sender gets 5-Ca payoffs receiver gets -5 -Cm payoff.
Assume probability of a malicious sender: x
Assume probability of a honeypot receiver: y
X: 1/(1+last digit of your Bnumber)
Y: 1(1+(last-1) digit of your Bnumber
a) Find conditions on CA and CM such that a pure strategy equilibrium
exists
b) Assume CA = Cm = 2. Find the (pure or mixed) strategy equilibrium.
What is the probability that a malicious sender attacks at the
equilibrium?
Transcribed Image Text:4) Consider a game between a sender and a receiver in a network security game. Sender can be malicious or regular type/ Receiver can be honey-pot or regular type. Malicious sender has 2 actions available. Forward the packet or attack. Regular sender has only one action: forward. Honey-pot receiver has two actions available: monitor or do nothing. CA : attack cost. Cm : Monitoring cost to the receiver Forwarding does not include any costs If malicious sender attacks and receiver is monitoring receiver gets 5-Cm payoff, sender gets -5 -CA cost. If malicious sender attacks and receiver is not monitoring, sender gets 5-Ca payoffs receiver gets -5 -Cm payoff. Assume probability of a malicious sender: x Assume probability of a honeypot receiver: y X: 1/(1+last digit of your Bnumber) Y: 1(1+(last-1) digit of your Bnumber a) Find conditions on CA and CM such that a pure strategy equilibrium exists b) Assume CA = Cm = 2. Find the (pure or mixed) strategy equilibrium. What is the probability that a malicious sender attacks at the equilibrium?
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