3. State whether each of the following claims is true or false. For each, explain your answer in (at most) one short paragraph. Explaining an example or a counter-example is sufficient. Absent this, a nice concise intuition is sufficient. (a) If one of the players does not have a dominant strategy then the game is not dominant solvable. (b) If a goal keeper's strong side is his left side, then he should always move (or "jump") towards left during penalty shots. (c) Every finite game has a Nash equilibrium.

Practical Management Science
6th Edition
ISBN:9781337406659
Author:WINSTON, Wayne L.
Publisher:WINSTON, Wayne L.
Chapter2: Introduction To Spreadsheet Modeling
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3. State whether each of the following claims is true or false. For each, explain your answer in (at
most) one short paragraph. Explaining an example or a counter-example is sufficient. Absent
this, a nice concise intuition is sufficient.
(a) If one of the players does not have a dominant strategy then the game is not dominant
solvable.
(b) If a goal keeper's strong side is his left side, then he should always move (or “jump") towards
left during penalty shots.
(c) Every finite game has a Nash equilibrium.
(d) Nash equilibrium guarantees Pareto optimality.
(e) If a game has a unique pure strategy Nash equilibrium then all players must have a dominant
strategy.
Transcribed Image Text:3. State whether each of the following claims is true or false. For each, explain your answer in (at most) one short paragraph. Explaining an example or a counter-example is sufficient. Absent this, a nice concise intuition is sufficient. (a) If one of the players does not have a dominant strategy then the game is not dominant solvable. (b) If a goal keeper's strong side is his left side, then he should always move (or “jump") towards left during penalty shots. (c) Every finite game has a Nash equilibrium. (d) Nash equilibrium guarantees Pareto optimality. (e) If a game has a unique pure strategy Nash equilibrium then all players must have a dominant strategy.
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