Stiglitz (Econometrica 37 (1969) 382) shows income convergence in a many-agent Solow growth model with integrated capital markets (ICM). The many-agent Ramsey model (MARM) without ICM also gives income convergence. With a MARM, equal discount rates, and ICM, convergence of incomes (as opposed to product per capita) cannot occur. These results depend upon fixed saving propensities (Stiglitz) or ...

When the growth of aggregate consumption exhibits no serial correlation, the socially efficient discount rate is independent of the time horizon, because the wealth effect and the precautionary effect are proportional to the time horizon. In this paper, we consider alternative growth processes: an AR(1), a Brownian motion with unknown trend or volatility, a two-state regimeswitching model, and ...

a r t i c l e i n f o Context: Price discounts are common retail promotional tools that are defined by their size and duration. Consumers possess a general schema in which they believe that retailers are motivated to associate larger price discounts with shorter durations and smaller price discounts with longer durations. However, factors influencing promotion management frequently lead retaile...

The full ranking or complete ranking of decision making units is one of the main ‎issues in data envelopment analysis. A full ranking is a ranking that considers all ‎efficient and inefficient units simultaneously and finds a ranking for them. Almost all ‎of the developed ranking methods consider only the efficient units. On the other hand, ‎ranking inefficient units by traditional data envelop...

The assessment of investment projects by the net present value method presupposes that the discount rate and the project deadline are known. In literature, however, it is commonly accepted that generally the discount rate cannot be determined with sufficient accuracy. Moreover, the project deadline is generally subject to negotiations. In this paper, we develop a procedure for computing the pro...

What discount rate should be applied to social investments? It is standard to use the market interest rate, thereby respecting private preferences. We show that application of this “revealed preference” criterion rests on faith, not logic. It is justified only if preferences over all choices, including past choices, are time invariant. The conditions for this to be true are stringent. Under mor...

A gambler starts with a fortune f < 1 and plays in a Vardi casino with infinitely many tables indexed by their odds r ≥ 0. In addition, all tables return the same expected winnings c < 0 per dollar and a discount factor is applied after each round. We determine the optimal probability to reach fortune one, as well as an optimal strategy, different from bold play for fortunes larger than a criti...