scholarly journals Rational Behavior in Dynamic Multicriteria Games

Mathematics ◽  
2020 ◽  
Vol 8 (9) ◽  
pp. 1485
Author(s):  
Anna Rettieva
Keyword(s):  
Game Model ◽  
Bargaining Solution ◽  
Rational Behavior ◽  
Management Problem ◽  
Multicriteria Games ◽  
Cooperative Solution ◽  
Cooperative Equilibrium ◽  
Irrational Behavior ◽  
Common Resource ◽  
Behavior Condition

We consider a dynamic, discrete-time, game model where n players use a common resource and have different criteria to optimize. To construct a multicriteria Nash equilibrium the bargaining solution is adopted. To design a multicriteria cooperative equilibrium, a modified bargaining scheme that guarantees the fulfillment of rationality conditions is applied. The concept of dynamic stability is adopted for dynamic multicriteria games. To stabilize the multicriteria cooperative solution a time-consistent payoff distribution procedure is constructed. The conditions for rational behavior, namely irrational-behavior-proofness condition and each step rational behavior condition are defined for dynamic multicriteria games. To illustrate the presented approaches, a dynamic bi-criteria bioresource management problem with many players is investigated.

scholarly journals Dynamic Multicriteria Games with Finite Horizon

Mathematics ◽  
2018 ◽  
Vol 6 (9) ◽  
pp. 156 ◽  
Author(s):  
Anna Rettieva
Keyword(s):  
Nash Equilibrium ◽  
Finite Horizon ◽  
Nash Bargaining ◽  
Management Problem ◽  
Multicriteria Games ◽  
Optimal Behavior ◽  
Cooperative Equilibrium

The approaches to construct optimal behavior in dynamic multicriteria games with finite horizon are presented. To obtain a multicriteria Nash equilibrium, the bargaining construction (Nash product) is adopted. To construct a multicriteria cooperative equilibrium, a Nash bargaining scheme is applied. Dynamic multicriteria bioresource management problem with finite harvesting times is considered. The players’ strategies and the payoffs are obtained under cooperative and noncooperative behavior.

Equilibria in Dynamic Multicriteria Games

2017 ◽  
Vol 19 (01) ◽  
pp. 1750002 ◽  
Author(s):  
Anna Rettieva
Keyword(s):  
Nash Equilibrium ◽  
Discrete Time ◽  
Solution Concept ◽  
Status Quo ◽  
Nash Bargaining ◽  
Game Model ◽  
Multicriteria Games ◽  
Common Resource ◽  
Game Theoretic

Mathematical models involving more than one objective seem more adherent to real problems. Often players have more than one goal which are often not comparable. These situations are typical for game-theoretic models in economic and ecology. In this paper, new approaches to construct equilibria in dynamic multicriteria games are constructed. We consider a dynamic, discrete-time, game model where the players use a common resource and have different criteria to optimize. First, we construct the guaranteed payoffs in a several ways. Then, we find an equilibrium as a solution of a Nash bargaining scheme with the guaranteed payoffs playing the role of status quo points. The obtained equilibrium, called a multicriteria Nash equilibrium, gives a possible solution concept for dynamic multicriteria games.

scholarly journals Perilaku Ekonomi Bank Syariah dan Risikonya Terhadap Rate of Return Bagi Nasabah Deposan Dalam Pembiayaan Mudarabah dan Murabahah (Studi Kasus Bank-bank Syariah di Wilayah Yogyakarta)

2016 ◽  
Vol 16 (1) ◽  
pp. 1
Author(s):  
Abdul Mughits
Keyword(s):  
Risk Management ◽  
Behavioral Finance ◽  
Field Data ◽  
Third Party ◽  
Rate Of Return ◽  
Rational Behavior ◽  
Islamic Banks ◽  
Islamic Bank ◽  
Irrational Behavior ◽  
Research Objects

This research tries to check the potency of risk of Islamic bank in defrayal of mudarabah and murabahah. This research was inspired from ascription of whereas one who said that the Islamic banks have not been risk because they have owned the guidance of risk management published by Bank Indonesia (BI). One way to assess the existence of potency of risk of Islamic bank in its defrayal product is using the theory of behavioral economics which’s in general differentiated to two categories, that is rational that which tends to be risk and irrasional that which tend to be not risk. Rational behavior is presented by the approach of efficiency market hyphotesis (EMH) and irrational behavior is presented by the approach of adaptive market hypothesis (AMH) And behavioral finance (BF). This research objects are four Islamic banks in Yogyakarta. After conducting by tracing of field data then found by that four Islamic banks affirm still face the risk in their operational, especially operational risk, risk of credit and risk of liquidity. From four bank also show that their behaviors are irrasional because tend to show the behavior of AMH and BF, than EMH. Thereby its risk potency tend to minimize to rate of return of client of deposan or third party lenders ( DPK).

STABLE COOPERATION UNDER ENVIRONMENTAL CONSTRAINTS

2010 ◽  
Vol 12 (04) ◽  
pp. 453-470 ◽  
Author(s):  
NADEZHDA KOZLOVSKAYA ◽  
NIKOLAY ZENKEVICH
Keyword(s):  
Shapley Value ◽  
Stable Distribution ◽  
Theoretic Model ◽  
Cooperative Solution ◽  
Irrational Behavior ◽  
Game Theoretic ◽  
The Common ◽  
Game Theoretic Model ◽  
Cooperative Differential Game ◽  
Total Stock

A game-theoretic model of territorial environmental production under Cournot competition is studied. The process is modeled as cooperative differential game. The stable distribution mechanism of the common cooperative benefit among players is proposed. We proved that the cooperative total stock of accumulated pollution is strictly less then the pollution under Nash equilibrium for the whole duration of the game. We design a stable Shapley value as a cooperative solution, which is time-consistent. The Shapley value is also strategic stable and satisfies the irrational-behavior-proofness condition. The numerical example is given.

scholarly journals A Fractional Supervision Game Model of Multiple Stakeholders and Numerical Simulation

2017 ◽  
Vol 2017 ◽  
pp. 1-9 ◽  
Author(s):  
Rongwu Lu ◽  
Xinhua Wang ◽  
Dan Li
Keyword(s):  
Numerical Simulation ◽  
Phase Diagram ◽  
Time Series ◽  
Numerical Solutions ◽  
Numerical Approach ◽  
Game Model ◽  
Management Problem ◽  
Multiple Stakeholders ◽  
Set Up ◽  
Predictor Corrector

Considering the popular use of a certain kind of supervision management problem in many fields, we firstly build an ordinary supervision game model of multiple stakeholders. Secondly, a fractional supervision game model is set up and solved based on the theory of fractional calculus and a predictor-corrector numerical approach. Thirdly, the methods of phase diagram and time series graph were applied to simulate and analyse the dynamic process of the fractional order game model. Results of numerical solutions are given to illustrate our conclusions and referred to the practice.

scholarly journals ON COOPERATIVE GAME APPROACH TO PROFIT SHARING IN A FEW PROJECTS MANAGEMENT PROBLEM

2019 ◽  
pp. 15-22
Author(s):  
N. Boyko ◽  
S. Dotsenko
Keyword(s):  
Game Theory ◽  
Cooperative Game ◽  
Shapley Value ◽  
Cooperative Game Theory ◽  
Profit Sharing ◽  
Management Problem ◽  
Profit Distribution ◽  
Common Resource

The article is consider three different mechanisms of project’s profit sharing, assuming that the projects have common resource pool and both resources and profit may be distributed at arbitrary way without losses. The resources and profit distribution mechanisms are based on cooperative game theory thesis. As three different alternatives, such cooperative game solutions, as Shapley value, nucleolus ant τ-value are proposed. The calculation routine is delivered by easy typical example.

scholarly journals Cooperative differential game model with continuous updating

2020 ◽  
Vol 12 (2) ◽  
pp. 82-109
Author(s):  
Ованес Леонович Петросян ◽  
Ovanes Petrosian ◽  
Анна Викторовна Тур ◽  
Anna Tur ◽  
Цзэян Ван ◽  
...  
Keyword(s):  
Differential Games ◽  
Optimal Strategies ◽  
Limited Resource ◽  
Game Model ◽  
Cooperative Solution ◽  
Cooperative Strategies ◽  
The Moment ◽  
Resource Extraction Game ◽  
Cooperative Differential Game ◽  
Cooperative Differential Games

The paper considers and describes the class of cooperative differential games with continuous updating. Such a class of differential games is new, at the moment only the classnoncooperative game models with continuous updating have been studied. This paper describes the process of constructing cooperative strategies, cooperative trajectory, characteristicfunction and cooperative solution with continuous updating. Cooperative case of limited resource extraction game model with continuous updating is considered. Optimal strategies,characteristic function and cooperative solution are constructed. The Shapley vector is used as a cooperative solution. The numerical simulation results are demonstrated in the Matlabenvironment.

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