scholarly journals Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

2018 ◽  
Author(s):  
Ekaterina Gromova ◽  
Anastasiya Malakhova ◽  
Arsen Palestini
Keyword(s):  
Game Theory ◽  
Resource Extraction ◽  
Optimal Trajectories ◽  
Game Model ◽  
Initial Instant ◽  
Nonrenewable Resource ◽  
Final Time ◽  
Differential Game Theory ◽  
Resource Extraction Game ◽  
Theory Framework

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the c.d.f. of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

scholarly journals Payoff Distribution in a Multi-Company Extraction Game with Uncertain Duration

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 165
Author(s):  
Ekaterina Gromova ◽  
Anastasiya Malakhova ◽  
Arsen Palestini
Keyword(s):  
Cumulative Distribution Function ◽  
Cumulative Distribution ◽  
Resource Extraction ◽  
Optimal Trajectories ◽  
Game Model ◽  
Nonrenewable Resource ◽  
Final Time ◽  
Differential Game Theory ◽  
Resource Extraction Game ◽  
Theory Framework

A nonrenewable resource extraction game model is analyzed in a differential game theory framework with random duration. If the cumulative distribution function (c.d.f.) of the final time is discontinuous, the related subgames are differentiated based on the position of the initial instant with respect to the jump. We investigate properties of optimal trajectories and of imputation distribution procedures if the game is played cooperatively.

The Differential Game Analysis on the Construction Problem of the Public Libraries

2014 ◽  
Vol 687-691 ◽  
pp. 1662-1667
Author(s):  
Xue He ◽  
Shuang Liang Tian ◽  
Ping Chen ◽  
Wen Wen Tian
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Public Libraries ◽  
Social Utility ◽  
Game Model ◽  
Optimal Solutions ◽  
Game Analysis ◽  
Construction Problem ◽  
The Public ◽  
Differential Game Theory

Using the differential game theory, we studied the investment problem on public libraries, and established the Leader-follower differential game model, which is between the governments and the private enterprises (social organization). By building the Hamiltonian solving the Stackelberg balanced optimal solutions in the main two game players when they choose their strategies. By adjusting the strategy of government and social utility’s coefficient of dynamic to increase the comprehensive social utility of libraries.

scholarly journals Differential Game for a Class of Warfare Dynamic Systems with Reinforcement Based on Lanchester Equation

2014 ◽  
Vol 2014 ◽  
pp. 1-8
Author(s):  
Xiangyong Chen ◽  
Jianlong Qiu
Keyword(s):  
Game Theory ◽  
Differential Game ◽  
Dynamic Systems ◽  
Game Problem ◽  
Game Model ◽  
Optimal Reinforcement ◽  
Differential Game Theory ◽  
Military Conflicts ◽  
Lanchester Equation ◽  
Reinforcement Strategies

This paper concerns the optimal reinforcement game problem between two opposing forces in military conflicts. With some moderate assumptions, we employ Lanchester equation and differential game theory to develop a corresponding optimization game model. After that, we establish the optimum condition for the differential game problem and give an algorithm to obtain the optimal reinforcement strategies. Furthermore, we also discuss the convergence of the algorithm. Finally, a numerical example illustrates the effectiveness of the presented optimal schemes. Our proposed results provide a theoretical guide for both making warfare command decision and assessing military actions.

scholarly journals A Study of Taxi Service Mode Choice Based on Evolutionary Game Theory

2019 ◽  
Vol 2019 ◽  
pp. 1-17
Author(s):  
Zhu Bai ◽  
Mingxia Huang ◽  
Shuai Bian ◽  
Huandong Wu
Keyword(s):  
Game Theory ◽  
Evolutionary Game Theory ◽  
Mode Choice ◽  
Evolutionary Game ◽  
Payoff Matrix ◽  
Game Model ◽  
Stable States ◽  
Taxi Service ◽  
Service Mode ◽  
The Impact

The emergence of online car-hailing service provides an innovative approach to vehicle booking but has negatively influenced the taxi industry in China. This paper modeled taxi service mode choice based on evolutionary game theory (EGT). The modes included the dispatching and online car-hailing modes. We constructed an EGT framework, including determining the strategies and the payoff matrix. We introduced different behaviors, including taxi company management, driver operation, and passenger choice. This allowed us to model the impact of these behaviors on the evolving process of service mode choice. The results show that adjustments in taxi company, driver, and passenger behaviors impact the evolutionary path and convergence speed of our evolutionary game model. However, it also reveals that, regardless of adjustments, the stable states in the game model remain unchanged. The conclusion provides a basis for studying taxi system operation and management.

scholarly journals A game theory framework for ISP streaming traffic management

2011 ◽  
Vol 68 (11) ◽  
pp. 1162-1174 ◽  
Author(s):  
V. Bioglio ◽  
R. Gaeta ◽  
M. Grangetto ◽  
M. Sereno ◽  
S. Spoto
Keyword(s):  
Game Theory ◽  
Traffic Management ◽  
Streaming Traffic ◽  
Theory Framework
Sign in / Sign up

Export Citation Format

Share Document