In game theory, basic solution concepts often conflict with experimental findings or intuitive reasoning. This fact is possibly due to the requirement that zero probability be assigned to irrational choices in these concepts. Here, we introduce the epistemic notion of common belief in utility proportional beliefs which also assigns positive probability to irrational choices, restricted however ...

Load balancing is a powerful technique commonly used in communication and computer networks to improve system performance, robustness and fairness. In this paper, we consider a general model capturing the performance of communication and computer networks, and on top of it we propose a decentralized algorithm for balancing load among multiple network paths. The proposed algorithm is inspired by...

Traditional hierarchical modelling methods tend to have layers of abstraction corresponding to naturally existing layers of concern in multilevel systems. Although convenient, this is not always optimal for analysis and design. For instance, parts of a system which are in the same layer may not contribute to the same degree on some metric, e.g. system power consumption. To moderate the modellin...

In this paper one proposes a new simple combination rule, similar to Dempster’s rule, but the normalization is done for each non-empty set with respect to the non-zero sum of its corresponding mass matrix; in the case when all sets are empty the conflict is redistributed to the disjunctive form of them all (which in many cases coincides with the total ignorance). A general formula is proposed t...

An amount of income can be obtained jointly by m agents, the ith agent’s share of income being Bi. The income and the utilities of each agent are functions of the state of nature. Each agent has a probability measure over the states of nature. An ejficient proportional distribution is one which is (1) Pareto optimal and for which (2) the expected proportion of income agent i receives divided by...

We introduce a genetic algorithm GA with a new representation method which we call the proportional GA PGA The PGA is a multi character GA that relies on the exis tence or non existence of genes to determine the information that is expressed The in formation represented by a PGA individual depends only on what is present on the in dividual and not on the order in which it is present As a result...

Learning the association between observed variables and future trajectories of continuoustime stochastic processes is a fundamental task in dynamic modeling. Often the dynamics are non-homogeneous and involve a large number of interacting components. We introduce a conditional probabilistic model that captures such dynamics, while maintaining scalability and providing an explicit way to express...

Most present day switching systems, in Internet routers and data-center switches, employ a single input-queued crossbar to interconnect input ports with output ports. Such switches need to compute a matching, between input and output ports, for each switching cycle (time slot). The main challenge in designing such matching algorithms is to deal with the unfortunate tradeoff between the quality ...