Strong Strategic Support of Cooperation in Multistage Games

2019 ◽  
Vol 21 (01) ◽  
pp. 1940004 ◽  
Author(s):  
Leon Petrosyan
Keyword(s):  
Wide Class ◽  
Optimal Solution ◽  
Solution Concept ◽  
Time Consistency ◽  
Time Instant ◽  
Strong Equilibrium ◽  
Multistage Games ◽  
The Core ◽  
Strong Time Consistency ◽  
Strategic Support

The problem of cooperation in repeated and multistage games is considered. The strong equilibrium (equilibrium stable against deviations of coalitions) with payoffs which can be attained under cooperation is constructed for a wide class of such games. The new solution concept based on solutions of stage games is introduced and in some cases this solution is a subset of the core defined for repeated and multistage games in a classical way. It is also proved that this newly introduced solution concept is strongly time consistent. The strong time consistency of the solution is a very important property since in case it does not take place players in reality in some time instant in subgame on cooperative trajectory may switch from the previously selected optimal solution to any other optimal solution in the subgame and as result realize the solution which will not be optimal in the whole game.

Strong Time-Consistency of a Core: An Application to the Pollution Control Problem in Eastern Siberia

2021 ◽  
Author(s):  
Ekaterina V. Gromova ◽  
Polina I. Barsuk ◽  
Shimai Su
Keyword(s):  
Absorption Coefficient ◽  
Pollution Control ◽  
Time Consistency ◽  
Model Parameters ◽  
Eastern Siberia ◽  
Linear Quadratic ◽  
The Core ◽  
Consistency Property ◽  
Strong Time Consistency ◽  
The Russian Federation

In this paper, we study the (strong) time-consistency property of the core for a linear-quadratic differential game of pollution control with nonzero absorption coefficient and real values of the model parameters. The values of parameters are evaluated based on the data for the largest aluminum enterprises of Eastern Siberia region of the Russian Federation for the year 2016. The obtained results are accompanied with illustrations.

A Study on Cooperative Continuous Static Games without Differentiability under Fuzzy Environment

2022 ◽  
Vol 11 (1) ◽  
pp. 0-0
Keyword(s):  
Fuzzy Numbers ◽  
Optimal Solution ◽  
Solution Concept ◽  
Proper Understanding ◽  
Fuzzy Environment ◽  
The Stability ◽  
The Right ◽  
The Cost ◽  
Stability Sets ◽  
Fuzzy Parameters

In this study, a fuzzy cooperative continuous static game (PQFCCSG) with n players having fuzzy parameters in all of the cost functions and the right- hand-side of constraints is characterized. Their fuzzy parameters are represented by piecewise quadratic fuzzy numbers. The α-pareto optimal solution concept is specified. In addition, the stability sets of the first and second kind without differentiability are conceptualized and established. An illustrated numerical example is discussed for proper understanding and interpretation of the proposed concept.

An Improved Ant Colony Optimization Supervised by PSO

2010 ◽  
Vol 108-111 ◽  
pp. 1354-1359
Author(s):  
Zhi Gang Zhou
Keyword(s):  
Ant Colony Optimization ◽  
Optimal Solution ◽  
Pso Algorithm ◽  
Search Space ◽  
Ant Colony ◽  
Ant Colony System ◽  
Control Parameters ◽  
Evaporation Coefficient ◽  
The Core ◽  
Stochastic Selection

Combined with the idea of the particle swarm optimization (PSO) algorithm, the ant colony optimization (ACO) algorithm is presented to solve the well known traveling salesman problem (TSP). The core of this algorithm is using PSO to optimize the control parameters of ACO which consist of heuristic factor, pheromone evaporation coefficient and the threshold of stochastic selection, and applying ant colony system to routing. The new algorithm effectively overcomes the influence of control parameters of ACO and decreases the numbers of useless experiments, aiming to find the balance between exploiting the optimal solution and enlarging the search space.

DYNAMIC COOPERATIVE GAMES

2000 ◽  
Vol 02 (01) ◽  
pp. 47-65 ◽  
Author(s):  
JERZY A. FILAR ◽  
LEON A. PETROSJAN
Keyword(s):  
Characteristic Function ◽  
Cooperative Game ◽  
Continuous Time ◽  
Cooperative Games ◽  
Solution Concept ◽  
Time Consistency ◽  
Standard Solution ◽  
Instantaneous Characteristic ◽  
Characteristic Function Form ◽  
Over Time

We consider dynamic cooperative games in characteristic function form in the sense that the characteristic function evolves over time in accordance with a difference or differential equation that is influenced not only by the current ("instantaneous") characteristic function but also by the solution concept used to allocate the benefits of cooperation among the players. The latter solution concept can be any one of a number of now standard solution concepts of cooperative game theory but, for demonstration purposes, we focus on the core and the Shapley value. In the process, we introduce some new mechanisms by which players may regard the evolution of cooperative game over time and analyse them with respect to the goal of attaining time consistency either in discrete or in continuous time setting. In discrete time, we illustrate the phenomena that can arise when an allocation according to a given solution concept is used to adapt the values of coalitions at successive time points. In continuous time, we introduce the notion of an "instantaneous" game and its integration over time.

scholarly journals Strong time-consistency in the cartel-versus-fringe model

2003 ◽  
Vol 28 (2) ◽  
pp. 287-306 ◽  
Author(s):  
Fons Groot ◽  
Cees Withagen ◽  
Aart de Zeeuw
Keyword(s):  
Time Consistency ◽  
Strong Time Consistency

scholarly journals Strategic Alliance or Hegemonic Strategy? Conservatism Among the Dispossessed

2003 ◽  
Vol 1 (1) ◽  
Author(s):  
Michael W. Apple
Keyword(s):  
Strategic Alliances ◽  
Social Transformation ◽  
Strategic Alliance ◽  
Social Actors ◽  
Strategic Actions ◽  
The Core ◽  
Activist Group ◽  
Balance Of Forces ◽  
Strategic Support

This article examines a growing phenomenon—the growth of seemingly conservative sentiments among disenfranchised groups. I take as a prime example of such growth the strategic support of neo-liberal and neo-conservative policies by an African American activist group, the Black Alliance for Educational Options (BAEO). At the core of my analysis is a concern about what is at stake for all of us if rightist multiculturalism succeeds in redefining what and whose knowledge is of most worth and what our social and educational policies are meant to do. I argue that no matter what one's position is on the wisdom of BAEO's strategic actions, the entire case provides a crucial example of the politics of disarticulation and re-articulation, on the ways in which social movements and alliances are formed and re-formed out of the material and ideological conditions of daily life, and of the politics of discursive re-appropriation. Thus, an analysis of such movements is important both in terms of the balance of forces and power involved in specific educational reforms, but also in terms of more general issues concerning the processes of social transformation and agency. A critical but sympathetic understanding of groups such as BAEO may enable us to avoid the essentialism and reductionism that enters into critical sociological work on the role of struggles over state policies. Further, it can provide a more nuanced sense of social actors and the possibilities and limits of strategic alliances in a time of conservative modernization.

scholarly journals A GENERALIZED CONVERGENCE RESULT FOR THE GRAPH-BASED ANT SYSTEM METAHEURISTIC

2003 ◽  
Vol 17 (4) ◽  
pp. 545-569 ◽  
Author(s):  
Walter J. Gutjahr
Keyword(s):  
Ant Colony Optimization ◽  
Wide Class ◽  
Optimal Solution ◽  
Convergence Result ◽  
Ant Colony ◽  
Restrictive Condition ◽  
Optimal Solutions ◽  
Ant System

It is shown that on fairly weak conditions, the current solutions of a metaheuristic following the ant colony optimization paradigm, the graph-based ant system, converge with a probability that can be made arbitrarily close to unity to one element of the set of optimal solutions. The result generalizes a previous result by removing the very restrictive condition that both the optimal solution and its encoding are unique (this generalization makes the proof distinctly more difficult) and by allowing a wide class of implementation variants in the first phase of the algorithm. In this way, the range of application of the convergence result is considerably extended.

scholarly journals An optimization methodology for heterogeneous minor actinides transmutation

2018 ◽  
Vol 4 ◽  
pp. 4
Author(s):  
Timothée Kooyman ◽  
Laurent Buiron ◽  
Gérald Rimpault
Keyword(s):  
Fuel Cycle ◽  
Volume Fraction ◽  
Negative Impact ◽  
Positive Impact ◽  
Optimal Solution ◽  
Minor Actinides ◽  
Spent Fuel ◽  
Closed Fuel Cycle ◽  
Decay Heat ◽  
The Core

In the case of a closed fuel cycle, minor actinides transmutation can lead to a strong reduction in spent fuel radiotoxicity and decay heat. In the heterogeneous approach, minor actinides are loaded in dedicated targets located at the core periphery so that long-lived minor actinides undergo fission and are turned in shorter-lived fission products. However, such targets require a specific design process due to high helium production in the fuel, high flux gradient at the core periphery and low power production. Additionally, the targets are generally manufactured with a high content in minor actinides in order to compensate for the low flux level at the core periphery. This leads to negative impacts on the fuel cycle in terms of neutron source and decay heat of the irradiated targets, which penalize their handling and reprocessing. In this paper, a simplified methodology for the design of targets is coupled with a method for the optimization of transmutation which takes into account both transmutation performances and fuel cycle impacts. The uncertainties and performances of this methodology are evaluated and shown to be sufficient to carry out scoping studies. An illustration is then made by considering the use of moderating material in the targets, which has a positive impact on the minor actinides consumption but a negative impact both on fuel cycle constraints (higher decay heat and neutron) and on assembly design (higher helium production and lower fuel volume fraction). It is shown that the use of moderating material is an optimal solution of the transmutation problem with regards to consumption and fuel cycle impacts, even when taking geometrical design considerations into account.

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