Two individuals are involved in a synergistic relationship. If both individuals put effort into the relationship both are better. For each effort of individual j, the return to individual i first grows and then decreases. Player preferences are represented by πi(ai,aj) = ai (c + aj-ai); where ai is the effort level of the player i=1,2 and c>0 a constant.
a. Strategically describe the game and clearly write the payout features for each player
b. Find and graph the best answers
c. Find the Nash equilibrium(s).
