The best way to understand the StrategicVotingModel and some of its conclusions is by plugging in example distributions F(C).
- Excel SpreadSheet for this model : http://www.nooranch.com/synaesmedia/optimaes/spreadsheets/strategic_voting.xls
Agents cost values are identically and independently distributed with distribution function F(c). The probability that any randomly selected agent i will contribute in equilibrium is then:
Prob (ci =< c*) = F(c*)
So the probability that exactly n-1 out of N-1 agents will contribute is a binomial probability with sample size N-1 and parameter F(c*).
p (F, c) = Wn-1 (N-1, F(c))
(I don't know how to write the binomial formula out in wiki.)
So the equilibrium condition is:
c = p (F, c)
c = Wn-1 (N-1, F(c))
For F (c) use eg. a normal distribution.
To look at equilibria, then, set up chart with cost on x axis and probability on y axis. Graph the function p (c') and a 45 degree line where p = c. Equilibria occur where the two lines meet.