Table 3 Stationary distribution of the selected actions of two players adopting an ESS, in the limit
. P(α) is the probability that both players select action α. The probability that the two players select different actions tends to zero as
. The payoff when both players adopt the same strategy is also shown
Strategy (n) | P(CA) | P(CN) | P(SA) | P(SN) | Payoff (πnn) |
---|---|---|---|---|---|
1 (uncond-CA) | 1 | 0 | 0 | 0 |
|
2 (uncond-CN) | 0 | 1 | 0 | 0 |
|
3 (uncond-SA) | 0 | 0 | 1 | 0 |
|
4 | 0 | 1 | 0 | 0 |
|
5 | 0 | 1 | 0 | 0 |
|
6 | 0 | 0 | 1 | 0 |
|
7 | 0 | 1/2 | 1/2 | 0 |
|
8 | 0 | 0 | 1 | 0 |
|
9 | 0 | 1/2 | 1/2 | 0 |
|
10 | 0 | 0 | 1 | 0 |
|
11 | 0 | 0 | 1 | 0 |
|
12 | 1 | 0 | 0 | 0 |
|
13 | 1/2 | 0 | 1/2 | 0 |
|
14 | 0 | 0 | 1 | 0 |
|
15 | 0 | 0 | 0 | 1 |
|
16 | 0 | 0 | 0 | 1 |
|