A possibility measure can encode a family of probability measures. This fact is the basis for a transformation of a probability distribution into a possibility distribution that generalises the notion of best interval substitute to a probability distribution with prescribed confidence. This paper describes new properties of this transformation, by relating it with the well-known probability ine...

Security is one of the most challenging aspects in the internet and network applications. Symmetric key algorithms are a typically efficient and fast cryptosystem, so it has significant applications in many realms. For a wireless ad hoc network with constraint computational resources, the cryptosystem based on symmetric key algorithms is extremely suitable for such an agile and dynamic environm...

We investigate the private provision of a discrete public good. When the size and decomposition of the group are certain, such a problem has, in general, multiple equilibria. Yet, if it is commonly believed that some individuals may be altruists and that the size of the group is a Poisson random variable then equilibrium is unique. If the decomposition uncertainty is very small and the expected...

There are three standard methods for generating two channels of partially correlated noise: the two-generator method, the three-generator method, and the symmetric-generator method. These methods allow an experimenter to specify a target cross correlation between the two channels, but actual generated noises show statistical variability around the target value. Numerical experiments were done t...

we characterize strictly diagonal type of embeddings offinitary symmetric groups in terms of cardinality and the characteristic. namely, we prove thefollowing.let $kappa$ be an infinite cardinal. if$g=underset{i=1}{stackrel{infty}bigcup} g_i,$ where $ g_i=fsym(kappa n_i)$,$(h=underset{i=1}{stackrel{infty}bigcup}h_i, $ where $ h_i=alt(kappa n_i) ), $ is a group of strictly diagonal type and$xi=(...

Supplier competition and investment of effort are important concerns in supply base design. They are affected not only by the number of suppliers, but also by their capacity profile. This paper studies supply base design in terms of the number and capacities of suppliers, considering both supplier competition and investment of cost-reduction effort. We analyze a buyer who invests in capacities ...

We study collusive pricing in duopoly with uncertain demand and exogenous capacity constraints. In this setting, collusion using only symmetric pricing can limit collusive pro…ts. We …nd that using asymmetric pricing in some demand states permits higher sustainable collusive pro…ts over the entire range of demand states. Consequently, we show joint pro…t maximizing collusion can include both sy...

We study the attitude of decision makers to skewed noise. For a binary lottery that yields the better outcome with probability p, we identify noise around p with a compound lottery that induces a distribution over the exact value of the probability and has an average value p. We propose and characterize a new notion of skewed distributions, and use a recursive non-expected utility to provide co...

This paper concerns the modelling of stochastic processes by means of dynamic factor models. In such models the observed process is decomposed into a structured part called the latent process, and a remainder that is called noise. The observed variables are treated in a symmetric way, so that no distinction between inputs and outputs is required. This motivates the condition that also the prior...

We investigate a D dimensional generalization of the Schroedinger-Newton equations, which purport to describe quantum state reduction as resulting from gravitational effects. For a single particle, the system is a combination of the Schroedinger and Poisson equations modified so that the probability density of the wavefunction is the source of the potential in the Schroedinger equation. For sph...