3. Consider the following n-person game. Each player picks an integer between 1 and m. If you pick k, and you are the only one that picks k, then you win Sk. Note: there can be multiple winners (or no winners) in a round of this game. (a) Find your expected payoff if you choose k, given that the other n-1 players are using strategy p = (P1.P2 Pm). (b) Find the Nash equilibrium when n = 2 and m = 3. Note, this is just a simple 2-player non zero sum game, but be careful!

3. Consider the following n-person game. Each player picks an integer between 1 and m. If you pick k, and you are the only one that picks k, then you win Sk. Note: there can be multiple winners (or no winners) in a round of this game. (a) Find your expected payoff if you choose k, given that the other n-1 players are using strategy p = (P1.P2 Pm). (b) Find the Nash equilibrium when n = 2 and m = 3. Note, this is just a simple 2-player non zero sum game, but be careful!

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Question

3. Consider the following n-person game. Each player picks an integer between 1 and m. If you pick k,
and you are the only one that picks k, then you win Sk. Note: there can be multiple winners (or no
winners) in a round of this game.
(a) Find your expected payoff if you choose k, given that the other n -1 players are using strategy
p = (P1. P2,....Pm).
(b) Find the Nash equilibrium when n = 2 and m = 3. Note, this is just a simple 2-player non zero
sum game, but be careful!

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