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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 ...
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Cuckoo Search Algorithm for Optimization Problems

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 Cuckoo Search Algorithm - Metaheuristic Optimization Algorithm

What is Cuckoo Search Algorithm?

Cuckoo Search Algorithm is a Meta-Heuristic Algorithm. Cuckoo Search Algorithm is inspired by some Cuckoo species laying their eggs in the nest of other species of birds.

In this algorithm, we have 2 bird Species.

 1.) Cuckoo birds 

 2.) Host Birds (Other Species)

What if Host Bird discovered cuckoo eggs?

Cuckoo eggs can be found by Host Bird. 

Host bird discovers cuckoos egg with Probability of discovery of alien eggs. 

If Host Bird Discovered Cuckoo Bird Eggs. The host bird can throw the egg away. Abandon the nest and build a completely new nest.

Mathematically, Each egg represent a solution and it is stored in the host bird nest. In this algorithm Artificial Cuckoo Birds are used. Artificial Cuckoo can lay one egg at a time. We will replace New and better solutions with less fit solutions. It means eggs that are more similar to host bird has opportunity to develop in the new generation and become new cuckoo. In the population, number of host nest are fixed. If host bird discovered cuckoo egg consider this worst solution that is away from optimal value.
Consider, Cuckoo Egg = New Solution.
  and        Eggs in the nest = Set of Solutions.
  and    High Quality Eggs = Best Solutions that is near to the Optimal Solution.

Three Basic Principle Cuckoo Search Algorithm Use.

1.) Each Cuckoo Lays only one Egg at a time and places it in a randomly selected nest.

2.) Best Nest with high quality of Eggs will carry over to next generation.

3.) The number of available host nests is fixed. Host bird discovers cuckoo eggs with probability 𝑷_𝒂 ϵ (0,1). Host birds can throw away the egg or leave the nest/to build a new one.

Cuckoo Search Algorithm Steps


Cuckoo search algorithm Application

Training neural network.

Solve Nurse scheduling problem.

To solve the knapsack problem.

Traveling Salves man Problem.

Cuckoo Search Algorithm Videos


#Metaheuristic #Algorithms
Meta-heuristic Algorithms
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