The game of Twenty Questions has long been used to illustrate binary source coding. Recently, a physical device has been developed which mimics the process of playing Twenty Questions, with the device supplying the questions and the user providing the answers. However, this game differs from Twenty Questions in two ways: Answers need not be only “yes” and “no,” and the device continues to ask q...

We define cooperative games on general graphs and generalize Lloyd S. Shapley's celebrated allocation formula for those in terms of stochastic path integral driven by the associated Markov chain each graph. then show that value operator, one player defined integral, coincides with player's component game which is solution to least squares (or Poisson's) equation, light combinatorial Hodge decom...

The reliability of Physical Modeling in applications such as Adsorption and Heat transfer studies is not accurate since their mechanisms are complex and a proper understanding of the physics of the system is incomplete. In order to verify the applicability of Regression technique for Physical Modeling, a physical model is developed based on Multiple regression technique to predict the Pollutant...

Game theory models decision makers' behaviors in strategic situations. Since the structures of games are different, behavior and preferences of the players are different in various types of game. This paper reviews various situations of games. Here, characteristics of some common games are discussed and compared. Specifically, we focus on a group of games called symmetric games including Prison...

Data envelopment analysis (DEA) is an effective tool for supporting decision-makers to assess bankruptcy, uncertainty concepts including intervals, and game theory. The bankruptcy problem with the qualitative parameters is an economic problem under uncertainty. Accordingly, we combine the concepts of the DEA game theory and uncertain models as interval linear programming (ILP), which can be app...