Abstract
The growth of an industrialized population threatens a Malthusian collapse which might be avoided through equitable sharing of resources. Democracy can bring about the tyranny of the majority, which is motivation for a consideration of fairness. A problem in probability concerning dice is used as the basis for modeling a democratic process governed entirely by self-interest. By associating a person with each face of the die, mathematical paradigms are put to the vote in a model democracy. Measures of entropy and likelihood taken over populations can reveal their degree of equitability. Getting self-interested agents to vote for these paradigms of fairness is the challenge.
Colin Walker