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Nash Equilibrium In Game Theory ~xRay Pixy

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 Video Link  CLICK HERE... Learn Nash Equilibrium In Game Theory Step-By-Step Using Examples. Video Chapters: Nash Equilibrium  00:00 Introduction 00:19 Topics Covered 00:33 Nash Equilibrium  01:55 Example 1  02:30 Example 2 04:46 Game Core Elements 06:41 Types of Game Strategies 06:55  Prisoner’s Dilemma  07:17  Prisoner’s Dilemma Example 3 09:16 Dominated Strategy  10:56 Applications 11:34 Conclusion The Nash Equilibrium is a concept in game theory that describes a situation where no player can benefit by changing their strategy while the other players keep their strategies unchanged.  No player can increase their payoff by changing their choice alone while others keep theirs the same. Example : If Chrysler, Ford, and GM each choose their production levels so that no company can make more money by changing their choice, it’s a Nash Equilibrium Prisoner’s Dilemma : Two criminals are arrested and interrogated separately. Each has two ...

Manta Ray Foraging Optimization (MRFO) Algorithm Example

Manta Ray Foraging Optimization (MRFO) Algorithm 

Manta Ray Foraging Optimization (MRFO) Algorithm Example

Step 01: Initialize Population Size

Suppose, Population Size = 4;

Lower Bound = -10;

Upper Bound = 10;

Maximum Iteration = 4;

Suppose Initial Population

 1.1

 2

 0.9

 3

Step 02: Compute Fitness Value for each using fitness function.

Fitness Values

1.21

4

0.81

9

Step 03: Obtain Best Solution

Best solution = Minimum Fitness Value in the current population

Best Solution = 0.81

Step 04: Check Stopping Criteria

While (Current < Maximum Iteration)

 1 < 4   ((True) move to next step ) 

If stopping criteria is then stop and return the best cost.

Step 05: Update Position for each individual.

For i = 1 to PopulationSize

For i = 1:4

If (rand < 0.5) 

THEN Cyclone Foraging

Else

Chain Foraging

End if

Step 06: Compute Fitnee Value for Each individual and Select Best Individual.

Step 07: Perform Somersault Foraging. 

Step 08: Compute Fitness Value for Each.

End For

End While

Step 09: Return Best Solution Found.

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