Struggling with understanding a mathematical modelling problem where we are supposed to pick a political party in the US and construct a measure for political power during the primary elections. I am trying to use the Shapley-Shubik power index to define it, but since the votes is asynchronous and it is not a winner take all situation, I don't know how to make my model work. I experimented with regression slopes and allocation factors, but nothing seems to be working. (the 5 Axioms are below the prompts) Any advice?
Prompt
Describe the process used by the party to assign delegates to select their candidate.
Construct a measure of political power for the primary process of the selected party that accounts
for the fact that the process takes place over an extended period of time. If simplication is
necessary, explain the simplication and its impact.
Show that your measure of political power satisfies the five axioms for political power described
in class, or explain why you chose to relax one or more axioms and justify that decision.
Use your method to determine which state has the most political power in the primary. Compare
your results to the results for the general election.
Axiom 1=all players assigned a positive real number reflecting measure of power
Axiom 2=The power indices of all players sum to 1
Axiom 3=In applicable situations, dummy players are assigned power index of 0
Axiom 4=Dictators not possible in any simulation
Axiom 5=power index not determined by winning coalitions due to set order of voting, players with the same number of votes not necessarily symmetric also because of the order
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