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Consider the “information center” hypothesis for ospreys.  I…

Posted byAnonymous October 10, 2024May 9, 2025

Questions

Cоnsider the “infоrmаtiоn center” hypothesis for ospreys.  Imаgine for simplicity thаt each information center only contains two ospreys:  Leader (L) and Slacker (aka: follower-(S).  In the morning, each leader flies off in search of schooling fish such as alewife; whereas slackers always follow leaders.  Leaders pay a “search” cost (C) that slackers don’t, but always find food worth (V).  Slackers get five less units than (V) when they have a leader to follow (there are many more schooling fish than the leader can eat itself, but the time delay affects the food choice for slackers). (1) Complete the  payoff matrix.  What are the equations/variables for (A), (B), (C) and (D)? (2 pts)   L S L (A) (B) S (C) (D) (2)  Suppose that searching is “cheap”: V = 60 and C = 10.  Is the pure strategy (L) an ESS?  Explain and show your work for full credit. (4 pts) (you may use scratch paper and a calculator) (Hint:  A “pure” strategy means that 100% of the players engage in that behavior and 0% of the players engage in the other behavior) (3) What is the ESS? Explain and show your work.  (Make sure to interpret answer!) (4 pts)  

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