Games on Cellular Spaces: How Mobility affects Equilibrium

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

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

	0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1
0	0	0.1	0.2	0.3	0.4	0.5	0.6	0.7	0.8	0.9	1
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	-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	-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	-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	-1	-1.9	-2.8	-3.7	-4.6	-5.5	-6.4	-7.3	-8.2	-9.1	-10

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")
}

Referências

Artigos

Livros

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