A note on optimum spacing of observations from a continuous time simple Markov process

Summary Assume thatX() is a continuous time simple Markov process with a parameter . The problem is to choose observation points ₀ < ₁ <...<_T which provide with the maximum possible information on . Suppose that the observation points are equally spaced, that is, fort=1, ...,T, T, ;_t–_t–1 is constant. Then the optimum value fors is obtained.     

Does free trade promote environmental technology transfer?

We investigate how environmental and trade policies affect the transfer of environmental technology in a two-country model with global pollution. By comparing free trade and tariff policy with or without commitment, the following results are obtained. First, firms avoid the implementation of environmental tax by contracting technological transfer. Second, there is a case in which free trade is preferable to a tariff policy for both countries when there is no commitment to a tariff level. Third, free trade is not Pareto-preferred to a tariff policy when there is a commitment.     

Scheduling with package auctions

In scientific collaborations, technologies have broadened access to scarce scientific and engineering resources. While broader access is often applauded, little attention has been focused on the problem of efficient and equitable resource allocation. This paper presents laboratory experiments designed to compare different allocation mechanisms for access to joint research facilities. Specifically, we study the Vickrey-Clarke-Groves (VCG) auction, a simultaneous ascending auction (the Resource Allocation Design, RAD), and a mechanism based on submitted rankings (Knapsack). Experimental results show that RAD and VCG are both more efficient than Knapsack, while Knapsack achieves a more equal distribution of resources than RAD or VCG. The findings highlight the need for systematic exploration of allocation mechanisms within collaboratories.     

The wise leader

In an era of increasing discontinuity, wise leadership has nearly vanished. Many leaders find it difficult to reinvent their corporations rapidly enough to cope with new technologies, demographic shifts, and consumption trends. They can't develop truly global organizations that operate effortlessly across borders. And they find it tough to ensure that their people adhere to values and ethics. The authors assert that leaders must acquire practical wisdom, or what Aristotle called phronesis: experiential knowledge that enables people to make ethically sound judgments. Wise leaders demonstrate six abilities: (i) They make decisions on the basis of what is good for the organization and for society. (2) They quickly grasp the essence of a situation and fathom the nature and meaning of people, things, and events. (3) They provide contexts in which executives and employees can interact to create new meaning. (4) They employ metaphors and stories to convert their experience into tacit knowledge that others can use. (5) They exert political power to bring people together and spur them to act. (6) They use apprenticeship and mentoring to cultivate practical wisdom in orders.     

On the application of the Minkowski-Farkas theorem to sampling designs

In the paper, we consider the following problem: Let {π_k} be a sequence satisfying 0π_kΣ1 (k=1,…, N) and π=n.Tben, is there an unordered sampling design such that, for each k=1,…N, the inclusion probability of unit k is equal to π? It is shown that it can be solved by the straightforward application of the Minkowski-Farkas theorem.     

GREEKS FORMULAS FOR AN ASSET PRICE MODEL WITH GAMMA PROCESSES

Greeks formulas of Delta, Rho, Vega, and Gamma are derived in closed form for asset price dynamics described by gamma processes and Brownian motions time‐changed by a gamma process. The model considered here includes many well‐known models of practical interest, such as the variance gamma model and the Black–Scholes model. Our approach is based upon the Malliavin calculus for jump processes by making full use of a scaling property of gamma processes with respect to the Girsanov transform. The existence of their variance is investigated. Numerical results are provided to illustrate that the derived Greeks formulas have faster rate of convergence relative to the finite difference method.