Fighting for survival Two animals are fighting over a prey. The prey is worth v to each animal. The cost of fighting is c1 for the first animal (player 1) and c2 for the second animal (player 2). If they both act aggressively (hawkish) and get into a fight, they split the prey in two equal parts but suffer the cost of fighting. If both act peacefully (dovish) then they also split the prey in two equal parts but without incurring any cost. If one acts dovish and the other hawkish, there is no fight and the hawkish gets the prey.
1. Write down the normal form of the game (the bimatrix of strategies and payoffs).
2. Find the Nash Equilibria for all possible parameter configurations and given the following restrictions: v > 0, c1 > c2 > 0, v =/ 2c1 and v =/ 2c2.

Vortex company operates a retail store with two departments. information about those departments follows. department a department b sales $ 800,000 $ 450,000 cost of goods sold 497,000 291,000 direct expenses salaries 125,000 88,000 insurance 20,000 10,000 utilities 24,000 14,000 depreciation 21,000 12,000 maintenance 7,000 5,000 the company also incurred the following indirect costs. salaries $36,000 insurance 6,000 depreciation 15,000 office expenses 50,000 indirect costs are allocated as follows: salaries on the basis of sales; insurance and depreciation on the basis of square footage; and office expenses on the basis of number of employees. additional information about the departments follows. department square footage number of employees a 28,000 75 b 12,000 50 required: 1. determine the departmental contribution to overhead and the departmental net income for department a and department b.