FORWARD CONTRACTING SPECIFICATION THROUGH COLLECTIVE BARGAINING

Game-based bargaining theory is presented to evaluate the potential of and stability of cooperative coalition among producers for enhancing producer returns and managing market price and income risk. Results clarify that collective bargaining can increase and stabilize producer profits when they face a single processor.Research Methods/ Statistical Methods,

DOES GENERIC ADVERTISING WRAP DEMAND CURVATURE?

This paper reconsiders the impacts of generic advertising on commodity prices that may be induced through demand effects. Rather than considering a simple demand shift, we consider the possibility that advertising leads to a change in the curvature of the demand curve. In this case, generic advertising is shown to affect both the level of market prices as well as their volatility. Based on parametric tests, we find that the demand elasticity appears to be affected by the intensity of generic advertising. In addition, we find evidence that generic advertising affects the curvature of the demand curve. We examine the implications of these findings for the price of beef. Our results are consistent with the hypothesis that generic advertising enhances price level, while reducing price volatility. The latter result follows from evidence generic advertising increases the convexity of the demand curve with respect to price. The result suggests that generic advertising may provide a mechanism for stabilizing prices. The results also suggest that at any point in time, the effects of generic advertising can be decomposed into a shift and "twist" or curvature change. We present this decomposition and note that it implies the existence of a threshold price. At prices above this threshold, generic advertising will decrease the price elasticity of demand, while below this threshold, generic advertising will increase the price elasticity. This result suggests clearly that the demand effects of generic advertising are price dependent. The extent of this effect deserves further examination though findings in this paper strongly motivate further study.Marketing,

Robust control of systems with real parameter uncertainty and unmodelled dynamics

Two significant contributions have been made during this research period in the research 'Robust Control of Systems with Real Parameter Uncertainty and Unmodelled Dynamics' under NASA Research Grant NAG-1-1102. They are: (1) a fast algorithm for computing the optimal H(sub infinity) norm for the four-block, the two block, or the one-block optimal H(sub infinity) optimization problem; and (2) a construction of an optimal H infinity controller without numerical difficulty. In using GD (Glover and Doyle) or DGKF (Doyle, Glover, Khargonekar, and Francis) approach to solve the standard H infinity norm which required bisection search. In this research period, we developed a very fast iterative algorithm for this computation. Our algorithm was developed based on hyperbolic interpolations which is much faster than any existing algorithm. The lower bound of the parameter, gamma, in the H infinity Riccati equation for solution existence is shown to be the square root of the supremum over all frequencies of the maximum eigenvalue of a given transfer matrix which can be computed easily. The lower band of gamma such that the H infinity Riccati equation has positive semidefinite solution can be also obtained by hyperbolic interpolation search. Another significant result in this research period is the elimination of the numerical difficulties arising in the construction of an optimal H infinity controller by directly applying the Glover and Doyle's state-space formulas. With the fast iterative algorithm for the computation of the optimal H infinity norm and the reliable construction of an optimal H infinity controller, we are ready to apply these tools in the design of robust controllers for the systems with unmodelled uncertainties. These tools will be also very useful when we consider systems with structured uncertainties

Robust control of systems with real parameter uncertainty and unmodelled dynamics

During this research period we have made significant progress in the four proposed areas: (1) design of robust controllers via H infinity optimization; (2) design of robust controllers via mixed H2/H infinity optimization; (3) M-delta structure and robust stability analysis for structured uncertainties; and (4) a study on controllability and observability of perturbed plant. It is well known now that the two-Riccati-equation solution to the H infinity control problem can be used to characterize all possible stabilizing optimal or suboptimal H infinity controllers if the optimal H infinity norm or gamma, an upper bound of a suboptimal H infinity norm, is given. In this research, we discovered some useful properties of these H infinity Riccati solutions. Among them, the most prominent one is that the spectral radius of the product of these two Riccati solutions is a continuous, nonincreasing, convex function of gamma in the domain of interest. Based on these properties, quadratically convergent algorithms are developed to compute the optimal H infinity norm. We also set up a detailed procedure for applying the H infinity theory to robust control systems design. The desire to design controllers with H infinity robustness but H(exp 2) performance has recently resulted in mixed H(exp 2) and H infinity control problem formulation. The mixed H(exp 2)/H infinity problem have drawn the attention of many investigators. However, solution is only available for special cases of this problem. We formulated a relatively realistic control problem with H(exp 2) performance index and H infinity robustness constraint into a more general mixed H(exp 2)/H infinity problem. No optimal solution yet is available for this more general mixed H(exp 2)/H infinity problem. Although the optimal solution for this mixed H(exp 2)/H infinity control has not yet been found, we proposed a design approach which can be used through proper choice of the available design parameters to influence both robustness and performance. For a large class of linear time-invariant systems with real parametric perturbations, the coefficient vector of the characteristic polynomial is a multilinear function of the real parameter vector. Based on this multilinear mapping relationship together with the recent developments for polytopic polynomials and parameter domain partition technique, we proposed an iterative algorithm for coupling the real structured singular value

An Analysis of Engineering Design Graphics Journal Articles

An analysis was conducted of feature articles published in the EDGJ (Engineering Design Graphics Journal) and indexed later by ERIC (Educational Resources Information Center).  After a spreadsheet was promulgated with data extracted from the ERIC database and validated with the aid of actual copies of the articles, the data were sorted and counted.  The results indicated that the EDGJ is a non-core journal, that at least 40% of the articles published in the EDGJ and indexed later by ERIC fall within the scope of the EDGJ, and that select ideas are being propagated by a select group of authors that target a select audience

Star Formation in the LMC: Gravitational Instability and Dynamical Triggering

Evidence for triggered star formation is difficult to establish because energy feedback from massive stars tend to erase the interstellar conditions that led to the star formation. Young stellar objects (YSOs) mark sites of {\it current} star formation whose ambient conditions have not been significantly altered. Spitzer observations of the Large Magellanic Cloud (LMC) effectively reveal massive YSOs. The inventory of massive YSOs, in conjunction with surveys of interstellar medium, allows us to examine the conditions for star formation: spontaneous or triggered. We examine the relationship between star formation and gravitational instability on a global scale, and we present evidence of triggered star formation on local scales in the LMC.Comment: 6 pages, 6 figures, IAU Symposium 237, Triggered Star Formation in a Turbulent Medium, eds. Elmegreen and Palou

Extrapolated High-Order Propagators for Path Integral Monte Carlo Simulations

We present a new class of high-order imaginary time propagators for path-integral Monte Carlo simulations by subtracting lower order propagators. By requiring all terms of the extrapolated propagator be sampled uniformly, the subtraction only affects the potential part of the path integral. The negligible violation of positivity of the resulting path integral at small time steps has no discernable affect on the accuracy of our method. Thus in principle arbitrarily high order algorithms can be devised for path-integral Monte Carlo simulations. We verify this claim is by showing that fourth, sixth, and eighth order convergence can indeed be achieved in solving for the ground state of strongly interacting quantum many-body systems such as bulk liquid $^4$He.Comment: 9 pages and 3 figures. Submitted to J. Chem. Phy