Quadrant Equilibria Correlation

Returns to Row Player

EquilibriumBackstopThreat point Backstop NTUThreat point NTU Backstop TUThreat point TU

Returns to Column Player

EquilibriumBackstopThreat point Backstop NTUThreat point NTU Backstop TUThreat point TU Max total Difference

Row's equilibrium returns Row's backstop NTU Row's threat point NTU Row's backstop TU Row's threat point TU Column's equilibrium returns Column's backstop NTU Column's threat point NTU Column's backstop TU Column's threat point TU Max total Row's backstop Row's threat point Column's backstop Column's threat point
minus
Row's equilibrium returns Row's backstop NTU Row's threat point NTU Row's backstop TU Row's threat point TU Column's equilibrium returns Column's backstop NTU Column's threat point NTU Column's backstop TU Column's threat point TU Max total Row's backstop Row's threat point Column's backstop Column's threat point

Using the keyboard
The arrow keys change x₁ and x₂.
The WASD keys change b₁ and b₂.
Hold SHIFT while doing the above to apply velocity.
Press SPACE to reset all velocities to zero.
Press R to go to a random game.
Press C to go to the nearest centroidal game.
Press V to view all bargaining returns in the large game diagram.

There are four other ways to change the current game:

1. Click or drag in the main figure (left).

2. Click or drag in the global figure (top right).

3. Use the buttons in the Navigation tab.

4. Click in the large diagram (bottom right) to go to a nearby extremal game.

Notable centroids
Prisoners' dilemma	Chicken
Battle of the sexes	Stag hunt
Zero sum
Bad (row advantage)	Bad (column advantage)
Row (pure)	Row (mixed)
Column (pure)	Column (mixed)
Alibi centroids
Row 1	Column 1
Row 2	Column 2
Row 3	Column 3

13d	13r	C3-	D3-	R3-	33r	33d
13c	13s	C3+	D3+	R3+	33s	33c
1C-	1C+	CC+ CC-	DC	RC	3C+	3C-
1D-	1D+	CD	DD+ DD-	RD	3D+	3D-
1R-	1R+	CR	DR	RR+ RR-	3R+	3R-
11c	11s	C1+	D1+	R1+	31s	31c
11d	11r	C1-	D1-	R1-	31r	31d

Notable centroids are the standard examples from a few of the most famous cells.

Hotspots are points where crossing each player's blue boundary results in returning to the same point. Along with the squarespots, they are the only games whose matrices contain two zeros and two sixes.

Squarespots are named for the shape of their diagrams. Incidentally, they are the only games such that each of them appears in all four quadrants at the same coordinates.

Poles are the only games whose matrices contain three zeros and one six.

Zero sum games (also called constant sum games) are games where the players' total returns are constant. Given coordinates b₁ and b₂, there are either six or zero nondegenerate constant sum games in our space. The buttons above navigate to these six games using the currents values b₁ and b₂. When either b₁ or b₂ becomes zero, the six constant sum games become three degenerate constant sum games.

Alibi centroids are the standard examples from the six "alibi cells" of the prisoners' dilemma. "Row 1" and "Column 1" are exceptionally similar to the prisoners' dilemma.