Neighbours of 2×2 Games

5 Neighbours of 2×2 Games
1. Find the games that have been assigned to you in the file ”YOUR GAMES”
2. Identify your two games using the figures in the text.
3. Name your games if names are avaialbe.
4. Make up a payoff matrix for each of your games.
5. identify and Nash equibria.
6. Show your two games in payoff space:
Symmetric Non-Symmetric
left right left right
up
Row
down
0.5. NEIGHBOURS OF 2X2 GAMES xv
7. The Symmetric game has three symmetric neighbours. Sketch the three symmetric
neighbours. You can find them by swapping values in your payoff
matrix or sketch.
Neighbours
Your Symmetric game
8. Show the payoff matrices of the symmetric neighbours
Table 9: default
Column
left right
Row up , ,
down , ,
Column
left right
up , ,
down , ,
Column
left right
up , ,
down , ,
9. Your Asymmetric game has six neighbours. On the next page sketch the six
neighbours. Four of them are adjacent on the Periodic Table. You can simply
copy the figure form the table. Note: a solid line in thePeriodic table appears
as a double line in these notes and on the board. Two of the neighbours will
appear near the same position but on other layers. These will be harder to
find. You find one using the 3-4 swap for row and the 3-4 swap of column.
10. Show the payoff matrices of the six neighbours
11. In each of the figures and tables indicate the equilibria if there are any.
xvi
Column
left right
Row up , ,
down , ,
Column
left right
up , ,
down , ,
Column
left right
Row up , ,
down , ,
YOUR GAME
left right
up , ,
down , ,
Column
left right
up , ,
down , ,
Column
left rig

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