Let I be a homogeneous Artinian ideal in a polynomial ring R = k[x1, . . . , xn] over a field k of characteristic 0. We study an equivalent condition for the generic initial ideal gin(I) with respect to reverse lexicographic order to be almost reverse lexicographic. As a result, we show that Moreno-Socias conjecture implies Fröberg conjecture. And for the case codimI ≤ 3, we show that R/I has t...

This paper presents three simple and efficient algorithms for generating, ranking and unranking t-ary trees in a lexicographic order. The simplest idea of encoding a t-ary tree with n nodes as a bit-string of length t*n is exploited to its full advantages. It is proved that the lexicographic order in the set of t-ary trees with n nodes is preserved in the set of bit-strings of length t*n, using...

Agro-areas of Arroyos Menores (La Colacha) west and south of Rı́o Cuarto (Prov. of Córdoba, Argentina) basins are very fertile but have high soil loses. Extreme rain events, inundations and other severe erosions forming gullies demand urgently actions in this area to avoid soil degradation and erosion supporting good levels of agro production. The authors first improved hydrologic data on La Col...

We interpret the problem of updating beliefs as a choice problem (selecting a posterior from a set of admissible posteriors) with a reference point (prior). We use AGM belief revision to define the support of admissible posteriors after observing zero probability events and investigate two classes of updating rules for probabilities : 1) ”minimum distance” updating rules which select the poster...

We propose a model, Lexicographic Partially Observable Markov Decision Process (LPOMDP), which extends POMDPs with lexicographic preferences over multiple value functions. It allows for slack–slightly less-than-optimal values–for higherpriority preferences to facilitate improvement in lower-priority value functions. Many real life situations are naturally captured by LPOMDPs with slack. We cons...

We consider cheap talk by a biased expert comparing multiple issues, e.g., discussion of different spending proposals by an industry lobbyist, evaluation of different stocks by a sell-side analyst, or analysis of different topics by a biased newspaper. When the expert’s motives are sufficiently transparent, we find that cheap talk is credible and influential even when the expert strongly favors...

We study the problem of elicitation of subjective beliefs of an agent when the beliefs are ambiguous (the set of beliefs is a non-singleton set) and the agent’s preference exhibits ambiguity aversion; in particular, as represented by α-maxmin preferences. We construct a direct revelation mechanism such that truthful reporting of beliefs is the agent’s unique best response. The mechanism uses kn...

This paper examines the nature of partisan preferences on a range of issue scales. It compares preferences in a period of strong ideological focus, in the late eighties and early nineties, with preferences in 2000 and 2001 – a period of weak ideological focus. Where partisan preferences were formerly polarised, they are now more consensual. I argue that once positional issues now resemble valen...

A new test procedure revealing choices that are jointly inconsistent has been developed and applied to the respondents’ choices in the Norwegian value of time study (Ramjerdi et al. 1997) and a study providing the Norwegian road authorities with valuation of environmental benefits for use in Cost-Benefit Analysis (Sælensminde and Hammer 1993). Our analysis show that lexicographic and inconsiste...