Game Theory in Operation Research||Mini max Principle|Saddle Point|Optimal Strategies |Value Of Game

#Gametheory #Optimal startegies #operationReserach #pureStrategy #MixedStrategy #twoPersongame #ZeroPersonGame
#Valueofgame #Saddlepoint #minimaxprinciple #maximinPrinciple

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1. https://www.youtube.com/watch?v=OJdzNwtGEz0

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About GameTheory:---
Game Theory:-- is a type of decision theory in which ones choice of action is determined after taking into account all possible alternatives available to an opponent playing the same game rather then just by the possibilities of several outcomes.
Game :--Game is defined as an activity between two or more persons involving activity by each person according to a set of rules at the end of which each person receives some benefit or satisfaction or suffer loss.
Saddle Point:-- A saddle point of the payoff matrix is the position of such an element in the payoff matrix which is minimum in its rows and maximum in its column.
Strategy:-- A strategy of a player is loosely defined as a rule of decision making in advance of all the plays by which he decides the activities he should adopt.In other words, a strategy for a given player is a set of rules that specifies which of the available course of action he should make at each play .
Pure Strategy :--- If the player knows exactly what the other player is going to do a deterministic situation is obtained and objective function is to maximize the gains.
Mixed Strategies:--- If a player is guessing as to which activity is to be selected by the other on any particular occasion a probabilistic situation is obtained and objective function is to maximize the expected gain.
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