scholarly journals Ranking of Weighted Strategies in the Two-Player Games with Fuzzy Entries of the Payoff Matrix

Author(s):  
Elisabeth Rakus-Andersson ◽  
Maria Salomonsson ◽  
Hang Zettervall
Keyword(s):  
2019 ◽  
Vol 2019 ◽  
pp. 1-17
Author(s):  
Zhu Bai ◽  
Mingxia Huang ◽  
Shuai Bian ◽  
Huandong Wu

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.


1976 ◽  
Vol 59 (1) ◽  
pp. 129-134 ◽  
Author(s):  
R. P. Lippmann ◽  
L. D. Braida ◽  
N. I. Durlach

2018 ◽  
Vol 8 (12) ◽  
pp. 2530
Author(s):  
Nan Nie ◽  
Xin Zhang ◽  
Chu Fang ◽  
Qiu Zhu ◽  
Jiao Lu ◽  
...  

Game theory—the scientific study of interactive, rational decision making—describes the interaction of two or more players from macroscopic organisms to microscopic cellular and subcellular levels. Life based on molecules is the highest and most complex expression of molecular interactions. However, using simple molecules to expand game theory for molecular decision-making remains challenging. Herein, we demonstrate a proof-of-concept molecular game-theoretical system (molecular prisoner’s dilemma) that relies on formation of the thymine–Hg2+–thymine hairpin structure specifically induced by Hg2+ and fluorescence quenching and molecular adsorption capacities of cobalt oxyhydroxide (CoOOH) nanosheets, resulting in fluorescence intensity and distribution change of polythymine oligonucleotide 33-repeat thymines (T33). The “bait” molecule, T33, interacted with two molecular players, CoOOH and Hg2+, in different states (absence = silence and presence = betrayal), regarded as strategies. We created conflicts (sharing or self-interest) of fluorescence distribution of T33, quantifiable in a 2 × 2 payoff matrix. In addition, the molecular game-theoretical-system based on T33 and CoOOH was used for sensing Hg2+ over the range of 20 to 600 nM with the detection limit of 7.94 nM (3σ) and for determination of Hg2+ in pond water. Inspired by the proof-of-concept for molecular game theory, various molecular decision-making systems could be developed, which would help promote molecular information processing and generating novel molecular intelligent decision systems for environmental monitoring and molecular diagnosis and therapy.


2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Ruipu Tan ◽  
Lehua Yang ◽  
Shengqun Chen ◽  
Wende Zhang

PurposeThe Chinese believe that “man will conquer the sky” and “fighting with the sky brings endless joy”. Considering that disaster assessment can be regarded as a two-person, zero-sum game problem between nature and human beings, this paper proposes a multi-attribute decision-making method based on game theory and grey theory in a single-value neutrosophic set environment. Due to the complexity and uncertainty of the decision-making environment, the method builds a decision matrix based on single-valued neutrosophic numbers.Design/methodology/approachFirst, the authors use the single-value neutrosophic information entropy to calculate the attribute weights and the weighted decision matrix. Second, the optimal mixed strategy method based on linear programming solves the optimal mixed strategy for both sides of the game so that the expected payoff matrix can be obtained. Finally, grey correlation analysis is used to obtain the closeness coefficient of each alternative based on the expectation payoff matrix to identify the ranking result of the alternative.FindingsAn example is used to verify the effectiveness of the proposed method, and its rationality is verified through a comprehensive comparison and analysis of the various aspects.Practical implicationsThe proposed decision-making method can be applied to typhoon disaster assessment. Such assessment results can provide intelligent decision support to the relevant disaster management departments, thereby reducing the negative impact of typhoon disasters on society, stabilizing society and improving people's happiness. Further, the method can be used for decision-making, recommendation and evaluation in other fields.Originality/valueThe proposed method uses single-value neutrosophic numbers to solve the information representation problem of decision-making in a complex environment. Under a new perspective, game theory is used to handle the decision matrix, while grey relational analysis converts inexact numbers to exact numbers for comparison and sorting. Thus, the proposed method can be used to make reasonable decisions while preserving information to the extent possible.


2015 ◽  
Author(s):  
Frederick H Millham

Process improvement is a skill all physicians need to be familiar with. This is particularly true for surgeons, who work in complex systems requiring multidisciplinary care in the health care system’s most expensive location: the operating room. Surgical leaders need to be familiar with the techniques and themes of process improvement. The current literature suggests that formal process improvement programs can be effective in improving clinical, operational, and financial performance of hospitals. This review outlines a general approach to process improvement, in addition to providing evidence for the efficacy of process improvement in health care, a definition of processes, and the history of process improvement. Tables outline forms of waste applied to health care and heuristic approaches to project improvement. Figures include a project charter, control chart, X-bar control chart, Pareto table and chart, Fishbone cause-and-effect diagram, diagrams of the Plan-Do-Study-Act process and cost/payoff matrix, statistical software control charts, and process flow maps. This review contains 10 figures, 2 tables, and 22 references.


Author(s):  
Yan Liu ◽  
Chenyao Lv ◽  
Hong Xian Li ◽  
Yan Li ◽  
Zhen Lei ◽  
...  

Managing quality risks of prefabricated components is one of the challenges for prefabricated construction. The Quality Liability Insurance for Prefabricated Components (QLIPC) is an effective approach to transfer such risks; however, limited research has been conducted regarding the development of QLIPC. This study introduces an Evolutionary Game Theory (EGT)-based approach incorporating decisions from both the government and insurance companies. In the EGT model, a payoff matrix under disparate strategies is constructed, and the evolutionary stable strategies (ESS) are deduced. The simulation calculation is then carried out by MATLAB using sample virtual data to demonstrate the analysis. The results show that the government should act as the game promoter because the QLIPC can reduce governance cost and has significant social benefits. This research contributes a theoretical framework to analyze the QLIPC development using the EGT theory, and it could help the government to make long-term strategies for developing the QLIPC market.


1982 ◽  
Vol 34 (2) ◽  
pp. 374-405 ◽  
Author(s):  
Ethan Akin

A symmetric game consists of a set of pure strategies indexed by {0, …, n} and a real payoff matrix (aij). When two players choose strategies i and j the payoffs are aij and aji to the i-player and j-player respectively. In classical game theory of Von Neumann and Morgenstern [16] the payoffs are measured in units of utility, i.e., desirability, or in units of some desirable good, e.g. money. The problem of game theory is that of a rational player who seeks to choose a strategy or mixture of strategies which will maximize his return. In evolutionary game theory of Maynard Smith and Price [13] we look at large populations of game players. Each player's opponents are selected randomly from the population, and no information about the opponent is available to the player. For each one the choice of strategy is a fixed inherited characteristic.


Author(s):  
Binghui Peng ◽  
Weiran Shen ◽  
Pingzhong Tang ◽  
Song Zuo

Over the past decades, various theories and algorithms have been developed under the framework of Stackelberg games and part of these innovations have been fielded under the scenarios of national security defenses and wildlife protections. However, one of the remaining difficulties in the literature is that most of theoretical works assume full information of the payoff matrices, while in applications, the leader often has no prior knowledge about the follower’s payoff matrix, but may gain information about the follower’s utility function through repeated interactions. In this paper, we study the problem of learning the optimal leader strategy in Stackelberg (security) games and develop novel algorithms as well as new hardness results.


2019 ◽  
Vol 97 ◽  
pp. 03034
Author(s):  
Olga Shikuskaya ◽  
Galina Abuova ◽  
Ivan Vatunskiy ◽  
Mikhail Shikulskiy

In the analysis of the project documentation of a two-storeyed sports complex it was established that despite compliance of the project to all standards in the fire safety field, under certain conditions there is a danger of a delay of full people evacuation from the gym room in case of fire that can entail people’s death. For the purpose of ensuring fire safety several versions of space-planning decisions were considered. The scientific literature analysis showed efficiency of game theory use in the field of fire safety, however in the field of fire safety in construction it was not applied yet. Game theory Application (games with the nature in the conditions of uncertainty) for the revealed problem solution was proved. Three possible scenarios of emergence and development of the fire and four alternative space-planning decisions were considered. For all development scenarios of the fire time of critical values achievement of dangerous fire factors was defined. All necessary evacuation schemes are made and calculations are executed. On the calculated parameters basis the payoff matrix was constructed. An optimal variant of space-planning decisions was chosen. Research results showed expediency and efficiency of game theory application in the field of fire safety in construction.


Sign in / Sign up

Export Citation Format

Share Document