INFO-GAP DECISION THEORY FOR DESIGN AND PLANNING OR: WHY `GOOD' IS PREFERABLE TO `BEST' Prof. Yakov Ben-Haim Yitzhak Moda'i Chair in Technology and Economics Technion - Israel Institute of Technology Visiting Professor at Georgia Tech Venue: RAND Corporation Santa Monica, CA 10:00, Friday, 21 February 2003 Good performance is better than poor performance, but the need for feasibility must temper the aspiration for high performance. To achieve this balance we must model and manage our severely deficient information about, and understanding of, the processes we confront. We must also re-evaluate our concepts of rational decision-making. This seminar focusses on three central ideas. 1. Severely deficient information and understanding can only be quantified by a highly unstructured model of uncertainty. For this we employ info-gap models rather than probability. Info-gap models are set-theoretic representations of uncertainty which employ no distribution functions. Info-gap models are axiomatically utterly different from both probability and fuzzy logic, since info-gap models focus on the set-structure of uncertainty rather than on measure-theoretical representations. Info-gap models are particularly suited to representing sparse information since they make no assertions about frequencies of, or beliefs about, rare events. 2. In strategic planning or conceptual design, there is an irrevocable trade-off between high performance and high immunity-to-uncertainty. We illustrate this with two heuristic examples. The first is the up-dating of a mathematical system-model based on data. The second is the design of a strategy for environmental management subject to uncertainty about the underlying processes. We will touch on two general theorems which underlie these examples. 3. Uncertainty may be either pernicious or propitious, and in designing under uncertainty we should protect against adversity while also enabling the exploitation of opportunities. To do this, we will discuss two info-gap immunity functions. The robustness function underlies a decision strategy which satisfices performance and maximizes immunity to failure. The opportunity function supports decisions which "windfall" the performance and minimize the immunity to opportunity. We will touch on the trade-offs and trade-ons which may arise between these strategies.