There is a society of seven individuals, 1,2,3,4,5,6,7), who are connected in a social network as...
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There is a society of seven individuals, 1,2,3,4,5,6,7), who are connected in a social network as below. If there is a link between two individuals, then that pair of individuals are friends. If there is no link between two individuals, then that pair are not friends. All individuals like Netflix. Specifically, if someone views Netflix they get a benefit of 1. However, Netflix is costly which is bad. To purchase a Netflix account costs c (0,1). Netflix allow multiple devices to stream simultaneously. This means that if some individual purchases a Netflix account, then he/she will share with all of his/her friends. Each individual has strategy set {p.n} where p means to purchase a Netflix account and n means to not purchase. The payoff to individual i depends directly on what his/her friends do. Writing s, for the strategy of person i, and for the vector of strategies of everyone other than i, the payoff to person i, (8, 8) is zi(n, 5-1) = { } 6 1, if some friend chose to purchase an account 0, if no friend chose to purchase an account (p. 8) = 1-c, for all s (a) Answer the following. i. Does any player have a dominant strategy (strictly or weakly)? If yes, what is it? If not, say why not. (2 Marks) ii. Does any player have a dominated strategy (strictly or weakly)? If yes, what is it? If not, say why not. (2 Marks) iii. Find all the pure strategy Nash equilibria. (Either write out mathematically or depict graphically.) (6 Marks) There is a society of seven individuals, 1,2,3,4,5,6,7), who are connected in a social network as below. If there is a link between two individuals, then that pair of individuals are friends. If there is no link between two individuals, then that pair are not friends. All individuals like Netflix. Specifically, if someone views Netflix they get a benefit of 1. However, Netflix is costly which is bad. To purchase a Netflix account costs c (0,1). Netflix allow multiple devices to stream simultaneously. This means that if some individual purchases a Netflix account, then he/she will share with all of his/her friends. Each individual has strategy set {p.n} where p means to purchase a Netflix account and n means to not purchase. The payoff to individual i depends directly on what his/her friends do. Writing s, for the strategy of person i, and for the vector of strategies of everyone other than i, the payoff to person i, (8, 8) is zi(n, 5-1) = { } 6 1, if some friend chose to purchase an account 0, if no friend chose to purchase an account (p. 8) = 1-c, for all s (a) Answer the following. i. Does any player have a dominant strategy (strictly or weakly)? If yes, what is it? If not, say why not. (2 Marks) ii. Does any player have a dominated strategy (strictly or weakly)? If yes, what is it? If not, say why not. (2 Marks) iii. Find all the pure strategy Nash equilibria. (Either write out mathematically or depict graphically.) (6 Marks)
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To analyze the given social network and determine dominant strategies dominated strategies and pure strategy Nash equilibria lets examine each question a i To identify if any player has a dominant str... View the full answer
Related Book For
Microeconomics An Intuitive Approach with Calculus
ISBN: 978-0538453257
1st edition
Authors: Thomas Nechyba
Posted Date:
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