Games on Cellular Spaces: How Mobility affects Equilibrium

P. R. Andrade, A. M. V. Monteiro, G. Camara, S. Sandri

Pawns have their maximum mobility at the start of the game. W. Jordan Melbourne

Paper

Revisões

Referências

Artigos

Livros

Dieckmann U et al The Geometry of Ecological Interactions: Simplifying Spatial Complexity
Axelrod R. The Complexity of Cooperation

Payoff

Payoff of my strategy (X) given my opponent strategy (Y), in the chicken game (-10,-1,0,+1):

	0.0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
0.0	0.0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1.0
0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1	-0.1
0.2	-0.2	-0.3	-0.4	-0.5	-0.6	-0.7	-0.8	-0.9	-1.0	-1.1	-1.2
0.3	-0.3	-0.5	-0.7	-0.9	-1.1	-1.3	-1.5	-1.7	-1.9	-2.1	-2.3
0.4	-0.4	-0.7	-1.0	-1.3	-1.6	-1.9	-2.2	-2.5	-2.8	-3.1	-3.4
0.5	-0.5	-0.9	-1.3	-1.7	-2.1	-2.5	-2.9	-3.3	-3.7	-4.1	-4.5
0.6	-0.6	-1.1	-1.6	-2.1	-2.6	-3.1	-3.6	-4.1	-4.6	-5.1	-5.6
0.7	-0.7	-1.3	-1.9	-2.5	-3.1	-3.7	-4.3	-4.9	-5.5	-6.1	-6.7
0.8	-0.8	-1.5	-2.2	-2.9	-3.6	-4.3	-5.0	-5.7	-6.4	-7.1	-7.8
0.9	-0.9	-1.7	-2.5	-3.3	-4.1	-4.9	-5.7	-6.5	-7.3	-8.1	-8.9
1.0	-1.0	-1.9	-2.8	-3.7	-4.6	-5.5	-6.4	-7.3	-8.2	-9.1	-10.0

payoff = function(strat, ostrat)
  return (-10 * strat     * ostrat
          +1  * strat     * (1-ostrat)
          -1  * (1-strat) * ostrat)

resultt = list()
for(i in 0:10)
{
  resultt = payoff(c((0:10)/10),i/10)
  cat(paste("^", i/10, "|"))
  for(j in 1:11)
  {
    cat(resultt[j])
    cat("|  ")
  }
  cat("\n")
}