Question
Suppose there is a pond with fishes and “n” number
of fishermen living around it. Let a i is time spent fishing per day by player i. Thus total time per day is a 1 + ... + a n. The number of fish available at any time is given by: (2000- Σ i a i ). The number of fish caught by a fisherman “j” is: a j (2000- Σ i a i ). Then what would be the best response of fisherman “i” to maximise his total?Solution
Fish caught by “i”: a i (2000- (a i + Σ j≠i a j )). Now we have to maximise this expression. Therefore differentiating w.r.t ai and equating to 0 a i = 1000 - Σ j≠i a j /2 Now each player will try to maximise his catch and assuming each one using the same strategy a i = a * to achieve equilibrium a* = 1000 - (n-1) a* /2 a* = 2000 / (n+1) So catch by each player=[2000 / (n+1)] 2
Select the letter-cluster that can replace the question mark (?) in the following series. CXB, HUI, MRP, ROW, ?
Directions: From the given alternative words, select the word which can be formed using the letters of the given word.
PORTFOLIO
In the word ‘MARSHMALLOW’ all consonants are written as their preceding letter and all vowels are written as their following letters. Now all letter...
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SET LAW PUR KIT
If in each of the words, each letter is changed to the letter following it i... Which one set of letters when sequentially placed at the gaps in the given letter series shall complete it?
_ Y _ X_ Z X _ Z X _ _ X Y _
- If 1st and 3rd letter of each word is interchanged then how many meaningful words are formed?
In the word ‘ SHIPMENT ’ all consonants are written as their preceding letter and all vowels are written as their following letters. Now all letters...
If the consonants of the following words are arranged first, followed by the vowels as per the English alphabetical order and then the consonants are ch...
Which of the following letter-clusters will replace the question mark in the given series to make it logically complete?
SBNQ, WWIU, ARDY, EMYC, ?
Select the letter-cluster from among the given options that can replace the question mark (?) in the following series.
TSF, RPJ, PMN, NJR, ?
