3. Two players, Amy and Beth, play the following game called "race to 50". Amy goes first, and the two players take turns choosing a number between 1 and 7. On each turn, they add a number to a running today. The player whose move brings the total to 50 wins the game. a. If both players play optimally, who will win the game? Does this game have a first-mover advantage? Explain your reasoning. b. What are the optimal strategies (complete plans of action) for each player?

3. Two players, Amy and Beth, play the following game called "race to 50". Amy goes first, and the two players take turns choosing a number between 1 and 7. On each turn, they add a number to a running today. The player whose move brings the total to 50 wins the game. a. If both players play optimally, who will win the game? Does this game have a first-mover advantage? Explain your reasoning. b. What are the optimal strategies (complete plans of action) for each player?

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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