If a Game Does Not Have an Equilibrium in Pure

question 28

True/False

If a game does not have an equilibrium in pure strategies, then it will not have an equilibrium in mixed strategies either.

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Definitions:

Lagrange Multiplier

A method used in mathematical optimization to find the maxima or minima of a function subject to constraints.

Price/Demand Elasticity

A measure of how much the quantity demanded of a good responds to a change in the price of that good, calculated as the percentage change in quantity demanded divided by the percentage change in price.

Standard Suite

A set of benchmark software or tests designed to evaluate the performance of a system or component.

Nonlinear Optimization Model

A type of optimization model where the objective function or any of the constraints are nonlinear functions.