# What is the saddle point of a matrix?

Given a

**matrix**of n x n size, the task is to find**saddle point**of the**matrix**. A**saddle point**is an element of the**matrix**such that it is the minimum element in its row and maximum in its column.A.

### What is a saddle point in game theory?

A necessary and sufficient condition for a

**saddle point**to exist is the presence of a payoff matrix element which is both a minimum of its row and a maximum of its column. A**game**may have more than one**saddle point**, but all must have the same value. SEE ALSO:**Game**, Payoff Matrix, Value.#### What is dominance in game theory?

In**game theory**, strategic**dominance**(commonly called simply**dominance**) occurs when one strategy is better than another strategy for one player, no matter how that player's opponents may play.#### What is a two person zero sum game?

**Zero**-**sum**is a situation in**game**theory in which one**person's**gain is equivalent to another's loss, so the net change in wealth or benefit is**zero**. A**zero**-**sum game**may have as few as**two**players, or millions of participants.**Zero**-**sum games**are found in**game**theory, but are less common than non-**zero sum games**.#### What is the definition of a fair game in math?

**Fair Game**. A**game**which is not biased toward any player. A**game**in which a given player can always win by playing correctly is therefore called an unfair**game**. SEE ALSO: Futile**Game**,**Game**, Martingale, Unfair**Game**.

B.

### Are saddle points stable or unstable?

If a critical

**point**is not**stable**then it is**unstable**. In the figure above we see that a center is**stable**but not asymptotically**stable**, that a**saddle point**is**unstable**, that a node is either asymptotically**stable**(sink) or**unstable**(source) and that a spiral either is asymptotically**stable or unstable**.#### What is the point of equilibrium?

These economic variables remain unchanged from their**equilibrium**values in the absence of external influences. Economic**equilibrium**may also be defined as the**point**at which supply equals demand for a product, with the**equilibrium**price existing where the hypothetical supply and demand curves intersect.#### What is meant by the term neutral equilibrium?

(Mech.) the kind of**equilibrium**of a body so placed that when moved slighty it neither tends to return to its former position not depart more widely from it, as a perfect sphere or cylinder on a horizontal plane. See also:**Neutral**.#### What is the direction field?

The**direction field**is defined as the collection of small line segments passing through various points having a**slope**that will satisfy the given differential equation (see Graph) at that point. These lines can then be sketched in lightly to aid in constructing the**direction field**(see Graph).

C.

### Can there be more than one saddle point in a matrix?

Game

**Saddle Point**. A necessary and sufficient condition for a**saddle point**to exist is the presence of a payoff**matrix**element which is both a minimum of its row and a maximum of its column. A game may**have more than one saddle point**, but all must**have**the same value.#### What is a player in game theory?

**Game theory**is the process of modeling the strategic interaction between two or more**players**in a situation containing set rules and outcomes. While used in a number of disciplines,**game theory**is most notably used as a tool within the study of economics.#### Who came up with the game theory?

John von Neumann#### Who is the father of game theory?

**Lloyd S. Shapley**, 92, Nobel Laureate and a Father of Game Theory, Is Dead**Lloyd S. Shapley**, 92, Nobel Laureate and a Father of Game Theory, Is Dead.

Updated: 21st September 2018