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The payoff function is a function u i : S 1 × S 2 × ⋯ S m → R .
A best of option is an option whose payoff is based on the best return from a basket of assets, while a worst of option is an option on the worst return of a basket of assets. If there are n underlying assets, the payoff effectively has n possibilities.
VP (T) = max(K − S(T),0) = (K − S(T))+. So, the payoff function for a put option is vP (s)=(K − s)+.
A 'payoff function' in the context of Computer Science refers to a utility function that assigns a numerical value to each possible action in a decision-making process. The higher the value, the more favorable the action is for the player.
And that's the payoff of that player in the mixed strategy Nash equilibrium. So let's see this inMoreAnd that's the payoff of that player in the mixed strategy Nash equilibrium. So let's see this in action with Battle of the Sexes starting with finding the probability of each outcome.
Let xt be a random variable representing the time-t value of a risk factor, and let f(xT) be a function that indicates the payoff of an arbitrary instrument at “maturity” date T, given the value of xT at time T > t. We call f(xT) a payoff function.