#### Supplement to Game Theory and Ethics

## Long descriptions for some figures in Game Theory and Ethics

### Figure 2 description

A decision tree

- Laura (root node)
- \((2,2)\) (node; line to it labeled
*P*) - \((0,3)\) (node; line to it labeled
*A*)

- \((2,2)\) (node; line to it labeled

### Figure 3 description

A decision tree

- Claudia (root node)
- Laura (node; line to it labeled
*P*)- \((2,2)\) (node; line to it labeled
*P*) - \((0,3)\) (node; line to it labeled
*A*)

- \((2,2)\) (node; line to it labeled
- Laura (node; line to it labeled
*A*)- \((3,0)\) (node; line to it labeled
*P*) - \((1,1)\) (node; line to it labeled
*A*)

- \((3,0)\) (node; line to it labeled

- Laura (node; line to it labeled

### Figure 4 description

A decision tree

- Claudia (root node)
- Laura (node; line to it labeled
*P*)- \((2,2)\) (node; line to it labeled
*P*) - \((0,{3-\gamma})\) (node; line to it labeled
*A*)

- \((2,2)\) (node; line to it labeled
- Laura (node; line to it labeled
*A*)- \((3,0)\) (node; line to it labeled
*P*) - \((1,1)\) (node; line to it labeled
*A*)

- \((3,0)\) (node; line to it labeled

- Laura (node; line to it labeled

### Figure 9 description

A x-y graph with a labeled center of \((0,0)\). on it is a green shaded triangle region with vertices at \((0,1),\) \((1,0),\) and \((-1,-1)\) [also labeled ‘Nonagreement Point’]. The labeled point \((\frac{1}{2},\frac{1}{2})\) is on the line between the first and second points.

### Figure 11 description

A x-y graph with x and y axes ranging from 0 to 1. On it is a green shaded quadrilateral region with vertices \((0, \frac{1}{9})\), \((\frac{1}{2},1)\), \((1, \frac{2}{9})\), and \((\frac{1}{6},;0)\). On the line connecting the second and third points are three more points each also labeled:

- \((0.536,0.944)\) Nash
- \((0.652,0.763)\) proportional
- \((0.682,0.717)\) maximin proportionate gain

### Figure 12 description

An equilateral triangle with vertices labeled counterclockwise:

- \(e_1(D)\)
- \(e_2(M)\)
- \(e_3(H)\)

A path is drawn connecting a sequence of points starting from a point towards the middle of the triangle, heading down and curving towards the towards the second vertex \(e_2(M)\).

### Figure 13 description

Same equilateral triangle as Figure 12 with vertices labeled counterclockwise:

- \(e_1(D)\)
- \(e_2(M)\)
- \(e_3(H)\)

The interior of the triangle has 200 curves starting at various points around the interior of the triangle. Most of these individual curves bend towards a single central curve that runs from about half way between the first and third vertices and ultimately ends converges to the second vertex. But a few of these curves, with starting points especially close to the first or third vertex bend toward that same central curve but converge to a point about half way between the first and third vertex.

### Figure 15 descriptions

Each of the figures 15a through 15d is a grid of squares \(20\times 20\) with each square either blue (one agent), red (the other agent), or white (empty). Figure 15a has the colors the most mingled; figure 15b has some clumping of colors, figure 15c some more clumping of colors (4 red regions, 5 blue regions), and figure 15d the most (2 red regions, 3 blue regions).