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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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Nicholl - Lee Nicholl (NLN) Line Clipping in Computer Graphics

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 In the Cohen-Sutherland method, multiple intersections may be calculated along the path of a single line before an intersection on the clipping rectangle or line is completely rejected. 

In Nicholl - Lee Nicholl Line Clipping, Extra intersection calculations are eliminated. 

ADVANTAGE OF Nicholl - Lee Nicholl (NLN) Line Clipping

1.) The number of clipping points is reduced to one, compared to other algorithms that may require two or more clipping. 

2.) Nicholl - Lee Nicholl (NLN) Line Clipping is FAST. Clipping algorithms for Circle, Curved boundary clipping regions are SLOWER because intersections calculations involve nonlinear curve equations. 

3.)  Nicholl - Lee Nicholl (NLN) Line Clipping avoids multiple clipping of Line segments. 

4.) As Compare to Cohen Sutherland and Liang-Barsy Nicholl - Lee Nicholl Line Clipping performed fewer comparisons.  

How Nicholl - Lee Nicholl Line Clipping works? 

Nicholl - Lee Nicholl Line Clipping, uses symmetry to categorize endpoints into one of the three regions. straight line segments are drawn from the line end point, passing through the corners of the clipping window. 

What are the three regions used by Nicholl - Lee Nicholl Line Clipping for endpoints?

   1.) The point inside the Clip Window


   2.) A point in an Edge region.


   3.) A point in the Corner region.

NOTE: If Point lies in any one of the other 6 regions, we can use symmetry transformation to move it.

CASE 1. If the point (P1) is Inside the Clip Window and Point (P2) is outside. 

Then the intersection with the appropriate window boundary is carried out depending on which one of the four regions L(Left), R(Right), T(Top), and B(Bottom) contains P2.

For Example: Check this diagram given below - 

CASE 2. If P1 is in the region to the left of the window.

In this case, 4 regions used to determine a unique boundary for the line segment: L, LT, LR, and LB.

If Point P2 is in the region L, Clip the line at the left boundary and save the line segment from the intersection point to p2.  

If Point P2 is in the region LT, save the line segment from the left window boundary to Top boundary.

NOTE: If the point is not in any of the 4 regions, The Entire Line is Clipped. 





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