Matrix-population formulation

Reference no: EM13132353

In a population, there are two kinds of individuals, LIONS and LAMBS. Whenever two individuals meet, 40 yen is at stake. When two LIONS meet, they fight each other until one of them is seriously injured. While the winner gets all the money, the loser has to pay 120 yen to get well again. If a LION meets a LAMB then the LION takes all the points without a contest. When two LAMBS meet, they debate endlessly until one side gives up. The loss of time means they are each fined 10 yen. You may assume that the probability of winning against an individual of the same kind is ½.

(i) Give a matrix that describes the game and argue that a population consisting solely of LIONS isn't stable, nor is one consisting solely of LAMBS.

(ii) Give an example of a population that is stable.

Reference no: EM13132353

Questions Cloud

How many grams of co2 gas are produced : an antacid, contains CaCO3. If Tums is added to 20.0mL of 0.400 M HCl solution, how many grams of CO2 gas are produced?

How should the controller respond : How does a customer benefit by our spending $50,000 on a supposedly better accounting system?" How should the controller respond?

Hexadecimal expansion of integer : Give a procedure for converting from the hexadecimal expansion of an integer to its octal expansion using binary notation as an intermediate step.

Total cost of the units sold : Stephanie Stores uses the moving average flow assumption. On July 1, there were 180 units on hand and the total inventory cost was $900. On July 10, 40 more units were purchased at a cost of $6 apiece. Twenty units were sold on July 3 and 60 units..

Matrix-population formulation : Give a matrix that describes the game and argue that a population consisting solely of LIONS isn't stable, nor is one consisting solely of LAMBS.

Explain fumaric acid requires a much higher temperature : When maleic acid is heated to about 100C it forms maleic anhydride, however fumaric acid requires a much higher temperature (250-300C) before it dehydrates

How many grams of zn have been consumed : If 157 of wet is collected over water at 24 degrees C and a barometric pressure of 737 Torr , how many grams of Zn have been consumed? (The vapor pressure of water is 22.38 Torr)

Calculate the amount of heat in kj absorbed : calculate the amount of heat in kJ absorbed if a 200-g sample of water is heated from 22.8 degrees celsius to 41.5 degrees celsius with the specific heat of water being 4.184 J/ g degree celsius

Explain what is the empirical formula of a compound : Explain why a 1m solution of the compound FeCl2 in water has a lower freezing temperature than a 1m solution of KCl in water and what is the empirical formula of a compound

User Account

All Pages