Adaptive Nash Equilibrium Seeking Strategies for Games with Second-order and Mixed-order players

2020 ◽  
Author(s):  
Jizhao Yin ◽  
Maojiao Ye
Keyword(s):  
Nash Equilibrium ◽  
Second Order ◽  
Mixed Order

scholarly journals Application of a Mixed Order Model to Determine the Rate Adsorption of 1-Nitronaphthalene onto Activated Carbon

2019 ◽  
pp. 46-56
Author(s):  
Suntree Rincome
Keyword(s):  
Activated Carbon ◽  
Rate Equation ◽  
Second Order ◽  
Coefficient Of Determination ◽  
Rate Equations ◽  
Order Rate ◽  
Mixed Order ◽  
Polycyclic Aromatic ◽  
Pseudo Second Order ◽  
Order Rate Equation

This study investigated the adsorption kinetics of 1-nitronaphthalene solution (a polycyclic aromatic hydrocarbon, PAH) onto seven different masses of activated carbon. The coefficient of determination (r2) was used to determine the best-fit kinetic model and to confirm agreement between experimental data and the kinetic rate equations. The results indicated that adsorption could be defined with masses of 0.0200 g and 0.0501 g when fitted using a second order rate equation. Adsorption on to masses of 0.1003 g, 0.1203, 0.1501 g, and 0.2001 g was best defined when data were fitted to a pseudo second order rate equation. However, adsorption onto a mass of 0.0701g did not fit with any simple rate law. Consequently, a new mathematical mixed order equation was developed to determine the rates of adsorption and the rate constants by combining two orders of equations: the pseudo first order and pseudo second order, to achieve a better fit with the same data.

On Some Mixed Order Response Surface Designs Useful in Sequential Experiments

1982 ◽  
Vol 31 (1-2) ◽  
pp. 27-52 ◽  
Author(s):  
Basudeb Adhikary ◽  
Rajendranath Panda
Keyword(s):  
Response Surface ◽  
Second Order ◽  
First Order ◽  
Mixed Order ◽  
Sequential Experiments ◽  
Response Surface Designs

In this paper we have introduced some mixed order response surface designs like FORD­SORD, FORD­TORD, SORD­TORD and discussed their analysis and construction. We have also explained how we can improve upon a FORD­SORD where p factors are first order and ( v- p) factors are second order to get one in which p1 factors are first order, p2 factors are seeond order and other ( v - p) factors are second order so that the design becomes a FORD­GDSORD. We can then improve it further whenp, factors are first order and ( v- p+ p2) are second order.

NEWTONIAN MECHANICS AND NASH PLAY

2004 ◽  
Vol 06 (02) ◽  
pp. 181-194 ◽  
Author(s):  
S. D. FLÅM ◽  
J. MORGAN
Keyword(s):  
Nash Equilibrium ◽  
Second Order ◽  
Convergence To Equilibrium ◽  
Newtonian Mechanics ◽  
Order Process ◽  
Natural Conditions ◽  
Important Condition ◽  
Rational Agents ◽  
Second Order Process

Nash equilibrium leaves the impression that each player foresees perfectly and responds optimally. Must human-like, rational agents really acquire both these faculties? This paper argues that in some instances neither is ever needed. For the argument repeated play is modelled here as a constrained, decentralized, second-order process driven by noncoordinated pursuit of better payoffs. Some friction feeds into — and stabilizes — a fairly myopic mode of behavior. Convergence to equilibrium therefore obtains under weak and natural conditions. An important condition is that accumulation of marginal payoffs, along the path of play, yields a sum which is bounded above.

Kinetics of the Reaction for Generation of Chlorine Dioxide from Sodium Chlorate and Hydrochloric Acid

2013 ◽  
Vol 634-638 ◽  
pp. 546-550
Author(s):  
Xin Jie Li ◽  
Dan Dan Jiang ◽  
Yue Jun Zhang
Keyword(s):  
Hydrochloric Acid ◽  
Chlorine Dioxide ◽  
Reaction Rate ◽  
Initial Rate ◽  
Reaction System ◽  
Sodium Chlorate ◽  
Second Order ◽  
First Order ◽  
Mixed Order ◽  
Kinetics Of

Based on the mechanism of ClO3-/Cl-reaction system, the kinetics for reaction of sodium chlorate and hydrochloric acid to generate ClO2was studied. The rate equation of this reaction system was deduced and simplified as a formula with mixed-order (combination of first-order and second-order) towards ClO3-. This rate formula indicates that the initial rate of the reaction is the first-order with respect to ClO3-, and the reaction rate is the second-order with respect to ClO3-when [ClO3-] becomes close to zero. The rate constants of the first-order were determined as 0.0168s-1(30°C), 0.0221s-1(40°C), and 0.0279s-1(50°C), respectively, and that of the second-order were obtained for 0.0019L·mol-1·s-1(30°C), 0.0028L·mol-1·s-1(40°C), and 0.0060L·mol-1·s-1(50°C), respectively. The results of statistic test prove that the rate formula obtained in this work is credible.

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