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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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Water Cycle Algorithm Step-by-Step Explanation with Example ~xRay Pixy

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A number of metaheuristic algorithms have been developed to solve various constraints optimization problems. Because according to the No Free Lunch theorem no algorithm alone can not solve various real-world problems. Different problems exist in real life that is complex in nature and hard to solve. Water Cycle Optimization Algorithm is inspired by nature. The water cycle algorithm is a nature-inspired metaheuristics algorithm. Water Cycle Algorithm is basically inspired by the water cycle process in nature. In this video, you will learn how the water cycle algorithm is working step-by-step with examples and its mathematical Model.

Water Cycle Algorithm is a metaheuristic optimization method used to solve different constraints-based problems and real-life engineering design problems. Water Cycle is also known as Hydrological Cycle. Water Cycle represents the continuous movement of water below and above the earth's surface. Most Precipitation: Occur as Rain, Snow, Fog Drip, Sleet. Evaporation: Transform water from the liquid phase. Condensation: Transformation of water vapor to liquid water droplets in the air, creating Cloud and Fog.

How Rivers are formed in real life? 
Rivers are part of the water cycle. Water is collected in the river from precipitation. Any river or stream is formed when water moves downhill from one place to another.

Water Cycle Algorithm Main Concept.
In this algorithm, Assume we have first Precipitation / Rain. 
Consider Raindrops as Initial Population and Best Individual / Best Raindrop is chosen as the sea.

River / Streams: Rivers are a Number of Good Raindrops. Streams are the Rest of the Raindrops. Each River absorbs water from the stream. 

Sea: Best Raindrops. Rivers flow to the sea. Therefore River + Streams = Sea.

Water Cycle Algorithm Flowchart

#Metaheuristic #Algorithms
Meta-heuristic Algorithms
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PARTICLE SWARM OPTIMIZATION ALGORITHM NUMERICAL EXAMPLE

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PSO Python Code || Particle Swarm Optimization in Python || ~xRay Pixy

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Grey Wolf Optimization Algorithm Numerical Example

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