The deterministic coalition game theory is based on the presumption that all expected incomes of coalitions and individual players are exactly known even befor the bargaining process If we leave this presumption then we extend the original gamemodel into the fuzzy coalition game with vague i e fuzzy pay o s The vagueness of the pay o s leads to vagueness of some other concepts and prop erties l...

The general coalition-game model suggested in [2] is considered, and a few types of combinations and transformations of such games are investigated. It is shown that a conjunction, disjunction, and combination of two general coalition-games is, under natural conditions, also a general coalition-game. Also the main relations between the solutions of the original games and the resulting one are d...

A power system is modeled by an interaction form, the solution of which is called a settlement. By stability we mean the existence of some settlement for any preference profile. Like in other models of power structure, instability is equivalent to the existence of a cycle. Structural properties of the system like maximality, regularity, superadditivity, subadditivity and exactness are defined a...

The theory of pseudo circle packings is developed. It generalizes the theory of circle packings. It allows the realization of almost any graph embedding by a geometric structure of circles. The corresponding Thurston’s relaxation mapping is defined and is used to prove the existence and the rigidity of the pseudo circle packing. It is shown that iterates of this mapping, starting from an arbitr...

This paper presents a dynamic model of endogenous coalition formation in cooperative games with transferable utility. The players are boundedly rational. At each time step, a player decides which of the existing coalitions to join, and demands a payo . These decisions are determined by a best{reply rule, given the coalition structure and allocation in the previous period. Further, the players e...

The theory of pseudo circle packings is developed. It generalizes the theory of circle packings. It allows the realization of almost any graph embedding by a geometric structure of circles. The corresponding Thurston’s relaxation mapping is defined and is used to prove the existence and the rigidity of the pseudo circle packing. It is shown that iterates of this mapping, starting from an arbitr...

Losses in quantum communication lines severely affect the rates of reliable information transmission and are usually considered to be state-independent. However, loss probability does depend on system state general, with polarization dependent losses being a prominent example. Here we analyze biased trace decreasing operations that assign different probabilities states introduce concept general...

Individual superior colliculus (SC) neurons integrate information from multiple sensory sources to enhance their physiological response. The response of an SC neuron to a cross-modal stimulus combination can not only exceed the best component unisensory response but can also exceed their arithmetic sum (i.e., superadditivity). The present experiments were designed to investigate the temporal pr...