There are a large number of contributions to the bankruptcy problem (cf. the references in Curiel et al. (1987) and Thomson (2002)). This paper examines this problem from the game-theoretic viewpoint in the context of coalitional game. Suppose that a person dies with property left and the property is valued $P. Furthermore, he (or she) owes to n persons with the total debt, valued $D. When P<D,...

A new representation of Game Theory is developed in this paper. State of players is represented by a density matrix, and payoff function is a set of hermitian operators, which when applied onto the density matrix gives the payoff of players. By this formalism, a new way to find the equilibria of games is given by generalizing the thermodynamical evolutionary process leading to equilibrium in St...

Interval games are an extension of cooperative coalitional games, in which players assumed to face payoff uncertainty. Characteristic functions thus assign a closed interval, instead real number. In this paper, we first examine the notion solution mapping, concept applied interval by comparing it with existing called concept. Then, define Shapley mapping as specific form mapping. Finally, is sh...

Sharing economy is a transformative socio-economic phenomenon built around the idea of sharing underused resources and services, e.g. transportation and housing, thereby reducing costs and extracting value. Anticipating continued reduction in the cost of electricity storage, we look into the potential opportunity in electrical power system where consumers share storage with each other. We consi...

Wireless sensor networks are typically ad-hoc networks of resource-constrained nodes; in particular, the nodes are limited in power resources. It can be difficult and costly to replace sensor nodes, for instance when implanted in the human body. Data transmission is the major consumer of power, so it is important to have power-efficient protocols. In order to reduce the total power consumption ...

A new representation of Game Theory is developed in this paper. State of players is represented by a density matrix, and payoff function is a set of hermitian operators, which when applied onto the density matrix give the payoff of players. By this formulism, a new way to find the equilibria of games is given by generalizing the thermodynamical evolutionary process leading to equilibrium in Sta...

This article is a brief survey on the Nash program for coalitional games. Results of noncooperative implementation of the Nash solution, the Shapley value and the core are discussed. Journal of Economic Literature classification: C7. Nash program In game theory this is the name given to a research agenda, initiated in Nash (1953), intended to bridge the gap between the cooperative and non-coope...

To address the coordination issue of connected automated vehicles (CAVs) at urban scenarios, a game-theoretic decision-making framework is proposed that can advance social benefits, including traffic system efficiency and safety, as well benefits individual users. Under framework, in this work, representative driving scenario, i.e. unsignalized intersection, investigated. Once vehicle enters fo...