The Kingdom of Arendelle is heavily in debt, and are debating how to pay the debts off. The King wants to raise taxes on large landholders. Parliament (representing the landholders) wants to cut spending on the army. The King would lose 70 utility if the army is cut, while Parliament would lose 50 utility for higher taxes. Both parties must sign the same plan for it to be implemented. If they do not agree, Arendelle will face\ major economic problems, costing the King 200 utility and Parliament 500 utility. Assume that if they don't agree, there are neither higher taxes nor cuts to the army, so they only pay 200 or 500 as relevant. Assume that a party that gets its preferred settlement (assuming they agree) gets 0 , as this represents their status quo.\ a. Draw the game\ b. Solve it to find all pure strategy Nash equilibria (there should be two)\ c. How would you think about which equilibrium would be the actual result?\ d. Does this tell us anything about inter-government negotiations? (E.g. negotiations\ between the President and Congress)\ e. How realistic do you think this model is? What major limitations does it have?