Support@brillianttermpapers.com

1-206-973-7012

Writer’s choice

Answer the following questions. Each of your answers should be an essay of 250 to 350 words (with a typical font and spacing this will be about 1 to 1-1/2 pages). Refer to the lectures and the texts as needed.

1.Finding the mixed-equilibrium strategies for zero-sum games can yield results that seem perplexing at first. In the children’s game Rock-Paper-Scissors the optimal mixed strategy is for each player to randomly choose each option one-third of the time. But suppose that when rock beats scissors, the winning player scores 2 points, not 1. How would you expect optimal play to change? Interestingly, the players play rock less, not more. Paper is played one-half of the time, and rock and scissors both drop to one-fourth. Why? Create a payoff matrix and use it to verify that the strategies specified result in a mixed-strategy equilibrium for the modified Rock-Scissors-Paper game. Explain the reasons why rock is played less, not more, using game theory concepts.

2.Consider the game of two people approaching one another on a sidewalk. Each chooses right or left. If they make the same choice, they pass one another without a problem and each gets a payoff of 1. If they make opposite choices, they both get payoffs of 0. Find the three Nash equilibria of the game. (One of them is a mixed equilibrium.) Show that the payoff from the mixed equilibrium is only half as good for either player as either of the two pure equilbria

We have the capacity, through our dedicated team of writers, to complete an order similar to this. In addition, our customer support team is always on standby, which ensures we are in touch with you before, during and after the completion of the paper. Go ahead, place your order now, and experience our exquisite service.

Use the order calculator below to get an accurate quote for your order. Contact our live support team for any further inquiry. Thank you for making BrilliantTermpapers the custom essay services provider of your choice.

Type of paper Academic level Subject area
Number of pages Paper urgency Cost per page:
 Total: