Created
November 24, 2021 18:16
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| Single-round, multiple person Prisoner's Dilemma. | |
| I want to maximize my payout. | |
| If I choose `c` and everyone else choses `d` then I get `0`. | |
| ```{r} | |
| library(tidyverse) | |
| ``` | |
| ```{r} | |
| p1_payout <- function(p1, p2) { | |
| case_when( | |
| p1 == 'c' & p2 == 'c' ~ 3, | |
| p1 == 'c' & p2 == 'd' ~ 0, | |
| p1 == 'd' & p2 == 'c' ~ 5, | |
| p1 == 'd' & p2 == 'd' ~ 1 | |
| ) | |
| } | |
| ``` | |
| ```{r} | |
| p1_payout('d', 'd') | |
| p1_payout('d', c('d', 'd')) | |
| ``` | |
| ```{r} | |
| opponent_choices <- tibble(cs = 0:19) %>% | |
| rowwise() %>% | |
| mutate(choices = list(c(rep('c', cs), rep('d', 19 - cs)))) | |
| head(opponent_choices) | |
| ``` | |
| ```{r} | |
| p1_outcomes <- opponent_choices %>% | |
| ungroup() %>% | |
| full_join(tibble(p1 = c('c', 'd')), by = character()) %>% | |
| rowwise() %>% | |
| mutate(payoff = sum(p1_payout(p1, choices))) | |
| p1_outcomes | |
| ``` | |
| ```{r} | |
| p1_outcomes %>% | |
| select(-choices) %>% | |
| pivot_wider(names_from = p1, values_from = payoff) | |
| ``` | |
| ```{r} | |
| p1_outcomes %>% | |
| ggplot() + | |
| geom_line(aes(cs, payoff, color = p1)) | |
| ``` | |
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