Morra is a hand game that dates back thousands of years to ancient Roman and Greek times. Two people called Even (E) and Odd (O) simultaneously reveal a number of fingers. Each one can choose the number of fingers (or more simply, they want to show even or odd number of fingers). If the total number of fingers is even, E wins two dollar from O: Ifthe total number of fingers is odd, O wins one dollar from E. For example, if E chooses three fingers andO chooses two fingers, then O wins one dollars from E. 1. Write down the payoff matrix of the game. 2. What is the optimal strategy for E and O? Formulate the problem as a LP and solve for the optimal strategies by the Simplex Method.

Morra is a hand game that dates back thousands of years to ancient Roman and Greek times. Two people called Even (E) and Odd (O) simultaneously reveal a number of fingers. Each one can choose the number of fingers (or more simply, they want to show even or odd number of fingers). If the total number of fingers is even, E wins two dollar from O: Ifthe total number of fingers is odd, O wins one dollar from E. For example, if E chooses three fingers andO chooses two fingers, then O wins one dollars from E. 1. Write down the payoff matrix of the game. 2. What is the optimal strategy for E and O? Formulate the problem as a LP and solve for the optimal strategies by the Simplex Method.

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter9: Sequences, Probability And Counting Theory

Section9.5: Counting Principles

Problem 40SE: A family consisting of 2 parents and 3 children is to pose for a picture with 2 family members in...

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