In multi-agent systems, norms are used to regulate agents’ behavior so that the objectives of the systems can be realized in a predictable way. Therefore, it is important to check whether agents can comply with the norms imposed on them. However, when norms are interrelated, verification of norm compliance cannot be achieved by checking compliance of each norm separately as done traditionally. ...

Abstract In this paper, we consider the k -Fibonacci and k -Lucas sequences {Fk,n}n∈N and {Lk,n}n∈N . Let A = Cr(Fk,0, Fk,1, · · · , Fk,n−1) and B = Cr(Lk,0, Lk,1, · · · , Lk,n−1) be r -circulant matrices. Afterwards, we give upper and lower bounds for the spectral norms of matrices A and B. In addition, we obtain some bounds for the spectral norms of Hadamard and Kronecker products of these ma...

Abstract: We investigate the problem of decomposing an image into three parts, namely a cartoon part, a texture part and a noise part. We argue that norms originating in the theory of optimal transport should have the ability to distinguish certain noise types from textures. Hence, we present a brief introduction to optimal transport metrics, especially the Kantorovich-Rubinstein norm, and show...

In order to regulate different circumstances over an extensive period of time, norms in institutions are stated in a vague and often ambiguous manner, thereby abstracting from concrete aspects, which are relevant for the operationalization of institutions. If agent-based electronic institutions, which adhere to a set of abstract requirements, are to be built, how can those requirements be trans...

Norms represent what ought to be done, and their fulfillment can be seen as benefiting the overall system, society or organisation. However, individual agent goals (desire) may conflict with system norms. If a decision to comply with a norm is determined exclusively by an agent or, conversely, if norms are rigidly enforced, then system performance may be degraded, and individual agent goals may...

Galerkin approximations of an abstract parabolic boundary value problem with "rough" boundary data are considered. The optimal rates of convergence in Lp[0T; L2(ti)] norms for L [07"; L2(T)] boundary terms are derived.

One source of trust for physical trading systems is their physical assets and simply their presence. A similar baseline does not exist for electronic trading systems, but one way in which it may be possible to create that initial trust is through the abstract notion of an institution, defined in terms of norms [19] and the scenes within which (software) agents may play roles in different tradin...

In order to regulate different circumstances over an extensive period of time, norms in institutions are stated in a vague and often ambiguous manner, thereby abstracting from concrete aspects, which are relevant for the operationalisation of institutions. If agent-based electronic institutions, which adhere to a set of abstract requirements, are to be built, how can those requirements be trans...

Scientific investigation suggests that subjects are prone to commit widespread and systematic reasoning errors, since their reasoning often departs from norms of first order logic, probability theory, and expected utility theory. However, according to a recent trend in the study of human rationality, based on the concept of “adaptive rationality”, departures from those norms should not be taken...

Abstract This paper examines the additive and moderating effects of social influence variables (injunctive norms, descriptive norms, perceived social support) within the Theory of Planned Behaviour (TPB). The target behaviour is the decision to eat healthily. Questionnaire responses on components of the TPB, descriptive norms, perceived social support, and subsequent healthy eating were obtai...