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 Jul28 comment Is this a game theory problem or optimization problem? @shane: (1) What are some ways to create such a utility function out of $f$ and $g$? (2) The utility function is not supposed to let the seller or manufacture know, but only to the customer, me, for buying a product of a given type. Is my problem an optimization problem rather than a game theory one? Jul28 revised Is this a game theory problem or optimization problem? added 86 characters in body Jul28 revised Is this a game theory problem or optimization problem? added 378 characters in body Jul28 comment Is this a game theory problem or optimization problem? @Shane: As a customer, I am trying to choose a product of a given type to buy, but have to balance between product quality and price. I will make the choice by choosing the product model (thus manufacturer), seller, payment method (cashback credit cards, gift cards, and which card if i have multiple), timing, and any other factors that can affect the product price and quality. Jul28 revised Is this a game theory problem or optimization problem? added 2 characters in body Jul28 revised Is this a game theory problem or optimization problem? added 2 characters in body Jul28 comment Is this a game theory problem or optimization problem? @joriki: I am still in the process of understanding and formulating the problem, so I am not sure if my problem is well defined. My post is asking whether there have been well-defined/formulated problems similar to mine. In my question, a solution is one $x$ that makes the $f(x)$ and $g(x)$ fall in equilibirum in some sense similar to the equilibrium solution to a minmax problem in game theory. I don't know if there have been different possibilities to characterize "sense" already. I also like to know if there have been problems in game theory which are close to my problem. Jul28 comment Is this a game theory problem or optimization problem? @Marc: (1) about using $\max$ and $\min$ to formulate an optimization problem, what you said makes sense to me. Do you have some references that mention that? (2) I am not just maximizing $f(x)$, but try to find some $x$ so that $f(x)$ and $g(x)$ are in equilibrium similar to the solution to a minmax problem in game theory, yet subject to the two constraints. So the two constraints are not superficial. If the constraints make the problem too complicated, we can start with simplifying the problem by ignoring the constraints. (see my update) Jul28 revised Is this a game theory problem or optimization problem? added 372 characters in body Jul28 revised Is this a game theory problem or optimization problem? added 11 characters in body Jul28 asked Is this a game theory problem or optimization problem? Jul25 awarded Nice Question Jul14 awarded Popular Question Jul9 comment Does a counting process allow a state change by more than 1 in a single transition? thanks. do you know the names for those special counting processes that can change by 1 in a single transition? Jul9 asked Does a counting process allow a state change by more than 1 in a single transition? Jul8 revised Is there a concept called the cross derivative between two functions? deleted 2 characters in body Jul8 comment Is there a concept called the cross derivative between two functions? thanks. yes.......... Jul8 revised Is there a concept called the cross derivative between two functions? edited body Jul8 asked Is there a concept called the cross derivative between two functions? Jun19 awarded Popular Question