# Questions tagged [discount]

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### Why do game theorists use a discounted payoff of this form?

Excuse the click-baity title. I notice the discounted payoff in the game theory literature usually takes the form $$\sum_{t=1}^\infty\lambda(1-\lambda)^{t-1}R_t$$ This differs from the discounted ...
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### discount function with logarithm

I have a function f(x) in which there is log function $f(x)=log(1+ax)-bxg(x)$ I need a discount function g(x) with which the function f(x) is concave and the value of x is not too complex. I ...
So I found this example in the net Compound interest formula (including principal): A = P(1+r/n)(nt) If an amount of $5,000 is deposited into a savings account at an annual interest rate ... 1answer 22 views ### Are sales (discounts) an investment or a loss? Are sales (discounts) during a promotional period considered an investment by the company/manufacturer to drag in more customers? Or a loss that wouldn't be paid back anytime in the future, but also ... 1answer 123 views ### Discount function Company A needs to provide service$p$to company B. However if the company B will reserve the$(1-\alpha)$fraction of resource for the serving customers of company A, company A will provide a ... 0answers 21 views ### Net Present Value with investments in multiple phases I am trying to calculate the Net Present Value for a theoretical project in which, unlike most examples in textbooks and on internet tutorials, investments do not only happen in t=0, but they also ... 2answers 83 views ### Rationale for discounting I am interested in understanding the rationale behind discounting in the context of government policy appraisal. As far as I understand it, there are three main components to the discount values ... 1answer 201 views ### On the Ms. Exponential vs Ms. Hyperbolic vignette I've come across this little parable purporting to show why exponential discounting is superior to hyperbolic discounting1: The greater bowing [of the hyperbolic discount curve] means that if a ... 1answer 3k views ### Formula for Effective Discount Rate of Discount Rate Series what is the formula to calculate an effective discount rate of Discount Series? For EX, If Price of Product A is$X and Discount Series is given like 10%,20%,30%,5%,2%. How can we calculate effective ...
I try to find the limit of the following expression of a weighted mean of a series of discount rate $\rho_{i}$ Here is the expression ; \rho_{\eta}\left(t\right)=\frac{\sum_{i}^{N}\rho_{i}\left(\...