NASH {QGameTheory}

Nash Equilibrium

Description

This function finds out the Nash equilibria of the 2-D payoff matrix for the players. The input parameters are equal dimensional payoff matrices for the first and the second players.

Usage

NASH(P1, P2)

Arguments

P1

Payoff matrix to Alice

P2

Payoff matrix to Bob

Value

The cell positons of the Nash equilibrium/equilibria as a dataframe from the payoff matrices of the players.

References

https://arxiv.org/abs/1512.06808
https://en.wikipedia.org/wiki/Nash_equilibrium

Examples

init()
Alice <- matrix(c(4, 3, 2, 4, 4, 2, 1, 0, 3, 5, 3, 5, 2, 3, 1, 3), ncol=4, byrow=TRUE)
Bob <- matrix(c(0, 2, 3, 8, 2, 1, 2, 2, 6, 5, 1, 0, 3, 2, 2, 3), ncol=4, byrow=TRUE)
NASH(Alice, Bob)