# CS代考 6CCS3AIN, Tutorial 05 (Version 1.0) 1. For each of the interaction scenarios below: – cscodehelp代写

6CCS3AIN, Tutorial 05 (Version 1.0) 1. For each of the interaction scenarios below:
(i) Determine which strategies are dominated (and explain why)
(ii) Use the idea of deleting strongly dominated strategies to simplify the scenario where appropriate.
(iii) Identify any Nash equilibria.
(iv) Identify the Pareto optimal outcomes.
(v) Identify the outcome that maximises social welfare.
j
LR U34
(a)
(b)
(c)
2. In the lecture we talked about the Prisoner’s Dilemma. Another well studied game is the Stag Hunt. Here is the story which describes what it captures:
A group of hunters goes stag hunting. If they all stay focussed on the stag, they will catch it and all have a lot of food. If some of them head off to catch rabbits, the stag will escape. In this case the rabbit hunters will have some small amount of food and the (remaining) stag hunters will go hungry. What should each hunter do?
As a two player game (two hunters, each of which can choose between Rabbit and Stag) this is:
j
RS R21
i23 S34
14
Note that S is often interpreted as “lie / cooperate” in the Prisoner’s dilemma sense, and R as “confess”. In
that sense, mutual cooperation (both hunters choose S) is the best outcome. What are the Nash equilibria and Pareto optimal outcomes?
3. Another canonical 2 player game is “chicken”, probably best explained in Rebel without a Cause: https://www.youtube.com/watch?v=u7hZ9jKrwvo
i32 D12
14
j
LR U -1 2
i -1 1
D 1 -1
2 -1
j
LR U31
i31 D42
24
Chicken has a payoff matrix like:
j
SJ S12
i14 J43
23
1

where J denotes “jump” (cooperate in Prisoner’s dilemma notation) and S denotes “stay in car” (defect in Prisoner’s dilemma notation).
What are the Nash equilibria and Pareto optimal outcomes?
How do the outomes of this game compare with those of the Prisoner’s dilemma?
4. For the optional computational part of the tutorial.
On KEATS you can find the file intro.py. This is illustrates the cabailities of the Python package called