NAME
sipd - simulate the spatial iterated Prisoner's Dilemma
SYNOPSIS
sipd -help
or
sipd [-width integer] [-height integer] [-steps integer]
[-rounds integer] [-seed integer] [-CC double] [-CD
double] [-DC double] [-DD double] [-Iallc double]
[-Itft double] [-Irand double] [-Ipav double]
[-Ialld double] [-rcp double] [-noise double]
[-mute double] [-stats] [-inv] [-mag integer]
[-term string]
DESCRIPTION
The spatial iterated Prisoner's Dilemma is simulated and
plotted over time according to the specified parameters.
Each cell in a grid plays a specific strategy against its
eight neighbors for several rounds. At the end of the
last round, each cell copies the strategy of its most suc-
cesful neighbor, which is then used for the next time
step. Possible strategies include 'Always Cooperate,'
'Always Defect,'
OPTIONS
-width integer
Width of world.
-height integer
Height of world.
-steps integer
Number of steps to simulate.
-rounds integer
Number of rounds per step.
-seed integer
Random seed for initial state.
-CC double
Reward Payoff.
-CD double
Sucker Payoff.
-DC double
Temptation Payoff.
-DD double
Punish Payoff.
-Iallc double
Initial population of All-C.
-Itft double
Initial population of TFT.
-Irand double
Initial population of Random.
-Ipav double
Initial population of Pavlov.
-Ialld double
Initial population of All-D.
-rcp double
Probability of C for Random strategy.
-noise double
Probability of noise.
-mute double
Probability of mutation.
-stats Print statistics?
-inv Invert all colors?
-mag integer
Magnification factor.
-term string
How to plot points.
PAYOFFS
The payoff matrix for the Prisoner's Dilemma game is usu-
ally expressed as:
Player B's Move
+-----------+-----------+
Player A's Move | cooperate | defect |
+-----------+-----------+-----------+
| cooperate | CC, CC | CD, DC |
+-----------+-----------+-----------+
| defect | DC, CD | DD, DD |
+-----------+-----------+-----------+
where the table entries are (A's payoff, B's payoff) and
CC, CD, DC, and DD are the reward, sucker, temptation, and
punish payoffs, respectively. For each of these four out-
comes you will probably want the payoffs to reflect the
relationships:
(DC > CC > DD > CD) and ((CD + DC) / 2 < CC).
MISCELLANY
The option for the probability of mutation (-mute) corre-
sponds to the act of a cell spontaneously changing to a
randomly selected strategy independent of the outcome of
the most recent set of rounds.
random noise (via the -noise option) manifests itself as a
cell making a randomly selected move in a single round.
In this case, both the cell whose action was altered as
well as that cell's opponents "remember" what the random
move was on the next round.
The value supplied with the -term option may be "none," in
which case no graphic output is performed. This is useful
if you simply want the statistics to be calculated for
each time step (via the -stats option).
The initial population levels for all strategies will be
normalized, so the scaling of the option values is irrele-
vant.
BUGS
No sanity checks are performed to make sure that any of
the options make sense.
AUTHOR
Copyright (c) 1997, Gary William Flake.
Permission granted for any use according to the standard
GNU ``copyleft'' agreement provided that the author's com-
ments are neither modified nor removed. No warranty is
given or implied.
Man(1) output converted with
man2html