A TU-game in characteristic function form generates a unique minimal dominant set. This set is non-empty. For a game with a non-empty core, the core and the minimal dominant set coincide; in this case the core is the smallest (for inclusion) set of outcomes that satisfies accessibility. For an abstract game, the minimal dominant set and Shenoy’s dynamic solution coincide.

So far many optimization models based on Nash Bargaining Theory associated with reservoir operation have been developed. Most of them have aimed to provide practical and efficient solutions for water allocation in order to alleviate conflicts among water users. These models can be discussed from two viewpoints: (i) having a discrete nature; and (ii) working on an annual basis. Although discrete...

Multiplayer network games attract more and more interest nowadays. In order to make the system scalable, the multi-server architecture is introduced. In such systems, as the dynamic behavior of the users in the virtual world may result in significant workload imbalance between servers, a dynamic load sharing and transferring mechanism is crucial to achieve both quick response time and high thro...

A game on a convex geometry was introduced by Bilbao as a model of partial cooperation. We investigate some properties of the core of a game on a convex geometry. First, we show that if a game is quasi-convex, then the core is stable. This result can be seen as an extension of a result by Shapley for traditional cooperative games. Secondly, we show the core on the class of balanced games on a c...

We introduce a “dynamic non-equivalent utilities” (DNEU) condition and the notion of dynamic player-specific punishments for a general repeated game with unequal discounting, both naturally generalizing the stationary counterparts in Abreu et al. (1994). We show that if the DNEU condition, i.e., no pair of players have equivalent utility functions in the repeated game, is satisfied, then any fe...

Smart metering infrastructure allows for two-way communication and power transfer. Based on this promising technology, we propose a demand-side management (DSM) scheme for a residential neighbourhood of prosumers. Its core is a discrete time dynamic game to schedule individually owned home energy storage. The system model includes an advanced battery model, local generation of renewable energy,...

Most of economic action can regarded as a special case of game theory. This article through analysis of computer simulation for the characteristics of Iterated Prisoner’s Dilemma, a repeated game model based on the evaluation of the cumulative aspiration tense is built and the result of modulation is analyzed. The results show that it can provide dynamic description for the behavior of social g...