Nash Equilibria of Co-Operative Advertising Programs with Advertising Threshold Effects

2014 ◽  
Vol 16 (04) ◽  
pp. 981-1004 ◽  
Author(s):  
Qinglong Gou ◽  
Juzhi Zhang ◽  
Juan Zhang ◽  
Liang Liang
Keyword(s):  
Nash Equilibria ◽  
Necessary Conditions ◽  
Marketing Research ◽  
Threshold Effect ◽  
Cooperative Advertising ◽  
Threshold Effects ◽  
Response Model ◽  
Nash Game ◽  
Sufficient And Necessary Conditions ◽  
The Impact

As an important advertising phenomenon which has been proven by previous empirical marketing research, the advertising threshold effect implies that advertising has little effect on sales when advertising investment is beneath a certain level. In this paper, we focus on a cooperative advertising program, in which a manufacturer shares part of its retailer’s advertising cost, to illustrate the impact of the advertising threshold effect. Dividing the advertisement efforts into national and local advertising, we propose a new advertising response model which can describe the advertising threshold effect well. Based on the advertising response function, we derive the manufacturer’s and the retailer’s equilibrium advertising investments when they play a Nash game. From the analysis we find that there are four possible Nash equilibria when we take the advertising threshold effect into account. We derive the sufficient and necessary conditions under which each of the four possible equilibria is a Nash equilibrium, and explain these conditions with examples from practice. Another interesting result is that there are two different equilibria when certain conditions are satisfied.

scholarly journals Threshold Effects of Infectious Disease Outbreaks on Livestock Prices: Cases of African Swine Fever and Avian Influenza in South Korea

2021 ◽  
Vol 11 (11) ◽  
pp. 5114
Author(s):  
Hyung-Chul Rah ◽  
Hyeon-Woong Kim ◽  
Aziz Nasridinov ◽  
Wan-Sup Cho ◽  
Seo-Hwa Choi ◽  
...  
Keyword(s):  
Avian Influenza ◽  
Infectious Diseases ◽  
Disease Outbreaks ◽  
African Swine Fever ◽  
Threshold Effect ◽  
Impact Response ◽  
Threshold Effects ◽  
Infectious Disease Outbreaks ◽  
Retail Prices ◽  
The Impact

In this paper we demonstrate the threshold effects of infectious diseases on livestock prices. Daily retail prices of pork and chicken were used as structured data; news and SNS mentions of African Swine Fever (ASF) and Avian Influenza (AI) were used as unstructured data. Models were tested for the threshold effects of disease-related news and SNS frequencies, specifically those related to ASF and AI, on the retail prices of pork and chicken, respectively. The effects were found to exist, and the values of ASF-related news on pork prices were estimated to be −9 and 8, indicating that the threshold autoregressive (TAR) model can be divided into three regimes. The coefficients of the ASF-related SNS frequencies on pork prices were 1.1666, 0.2663 and −0.1035 for regimes 1, 2 and 3, respectively, suggesting that pork prices increased by 1.1666 Korean won in regime 1 when ASF-related SNS frequencies increased. To promote pork consumption by SNS posts, the required SNS frequencies were estimated to have impacts as great as one standard deviation in the pork price. These values were 247.057, 1309.158 and 2817.266 for regimes 1, 2 and 3, respectively. The impact response periods for pork prices were estimated to last 48, 6, and 8 days for regimes 1, 2 and 3, respectively. When the prediction accuracies of the TAR and autoregressive (AR) models with regard to pork prices were compared for the root mean square error, the prediction accuracy of the TAR model was found to be slightly better than that of the AR. When the threshold effect of AI-related news on chicken prices was tested, a linear relationship appeared without a threshold effect. These findings suggest that when infectious diseases such as ASF occur for the first time, the impact on livestock prices is significant, as indicated by the threshold effect and the long impact response period. Our findings also suggest that the impact on livestock prices is not remarkable when infectious diseases occur multiple times, as in the case of AI. To date, this study is the first to suggest the use of SNS to promote meat consumption.

scholarly journals Threshold Effect in the Relationship between Environmental Regulations and Haze Pollution: Empirical Evidence from PSTR Estimation

2021 ◽  
Vol 18 (23) ◽  
pp. 12423
Author(s):  
Yonglian Chang ◽  
Yingjun Huang ◽  
Manman Li ◽  
Zhengmin Duan
Keyword(s):  
Environmental Governance ◽  
Environmental Regulations ◽  
Regional Distribution ◽  
Electricity Consumption ◽  
Threshold Effect ◽  
Smooth Transition ◽  
Threshold Effects ◽  
Regulatory Policies ◽  
Haze Pollution ◽  
The Impact

The impact of environmental regulations (ER) on haze pollution control has been continuously debated in the field of sustainable development. This paper explores the direct and indirect threshold effects of ER on haze pollution, and five underlying mechanisms—technological innovation (TI), industrial structure (IS), foreign direct investment (FDI), urbanization (UR), and electricity consumption (EC)—are adopted to investigate the indirect threshold effects. Panel data, over the period 2008–2018, of 284 Chinese cities were used and the threshold effects were predicted endogenously based on the panel smooth transition regression (PSTR) model. The results showed the following: (1) For the direct threshold effect, there exists a U-shaped relationship between ER and haze pollution. ER significantly reduced haze pollution when ER < 38.86 due to “cost effects”. However, ER increased haze pollution after the threshold owing to the “green paradox”, which was not significant. (2) For the indirect threshold effect, when TI = 0.37, IS = 39.61, FDI = 7.25, and UR = 42.86, the relationships between ER and haze pollution changed. The changes and corresponding reasons for the indirect threshold effects are discussed in detail. (3) After a comprehensive analysis, the threshold effects have obvious regional distribution characteristics and internal connections. Finally, based on the results, it is essential for governments to enact appropriate environmental regulatory policies and enhance inter-regional synergies in environmental governance.

Diminishing Returns? Threshold Effects of Dispositions and Recidivism Among Court-Involved Girls

2021 ◽  
pp. 009385482110031
Author(s):  
Nicole C. McKenna ◽  
Valerie R. Anderson
Keyword(s):  
Juvenile Justice ◽  
Justice System ◽  
Juvenile Justice System ◽  
Juvenile Court ◽  
Threshold Effect ◽  
Threshold Effects ◽  
Community Based ◽  
Court Records ◽  
Court Involved ◽  
The Impact

This study examines juvenile court responses among justice-involved girls. We analyze 10 years of court records on girls ( N = 1,102) from a Midwestern juvenile court to assess the impact of various aspects of placements and dispositions on recidivism outcomes. We explore how the number of dispositions girls receive, the type of disposition, and type of placement affect 2-year recidivism. Our findings indicate there may be a threshold effect to receiving dispositions—receiving three or more dispositions was significantly related to increased recidivism. Furthermore, the combination of receiving both treatment and sanction dispositions was significantly related to an increased likelihood of recidivism. Girls who received only community-based placements were more likely to recidivate than those who did not receive any dispositions. This study advances our understanding of court responses to girls and how these responses influence girls’ experiences and outcomes while involved with the juvenile justice system.

Threshold effects of exchange rate depreciation and money growth on inflation

2014 ◽  
Vol 41 (2) ◽  
pp. 196-215 ◽  
Author(s):  
Rizki E. Wimanda
Keyword(s):  
Exchange Rate ◽  
Threshold Model ◽  
Threshold Value ◽  
Threshold Effect ◽  
Threshold Effects ◽  
Money Growth ◽  
Content Type ◽  
Significant Difference ◽  
The Impact ◽  
Exchange Rate Depreciation

Purpose – This paper aims to investigate the impact of exchange rate depreciation and money growth to the consumer price index (CPI) inflation in Indonesia. Design/methodology/approach – Using threshold model applied to Phillips curve equation. Findings – Using monthly data from 1980:1 to 2008:12, the econometric evidence shows that there are indeed threshold effects of money growth on inflation, but no threshold effect of exchange rate depreciation on inflation. Even though the threshold value for exchange rate depreciation is found at 8.4 percent, the F-test suggests that there is no significant difference between the coefficient below and that above the threshold value. While two threshold values are found for money growth, i.e. 7.1 and 9.8 percent, and they are statistically different. The impact on inflation is high when money grows by up to 7.1 percent, it is moderate when money grows by 7.1-9.8 percent, and it is low when money grows by above 9.8 percent. Research limitations/implications – This research is using methodology proposed by Hansen which the threshold is based on the minimum SSR. The value of SSR will differ from one model to one model. For example, model using quarterly data will give the different result from that using monthly or yearly data. Also, when the author uses the new data, the result could be different. Practical implications – Even though inflation targeting framework has been adopted by Bank Indonesia (BI) since 2005, BI should not disregard the monetary aggregate variable, especially M1. This is because the growth of money is still matter to influence inflation in the short run. The impact on inflation is found to be larger than the impact of exchange rate depreciation when it is below a certain threshold value. Originality/value – This is the first paper that evaluates the threshold effect of exchange rate and money growth in emerging country, especially in Indonesia.

scholarly journals Credibilistic Loss Aversion Nash Equilibrium for Bimatrix Games with Triangular Fuzzy Payoffs

Complexity ◽  
2018 ◽  
Vol 2018 ◽  
pp. 1-16 ◽  
Author(s):  
Chunsheng Cui ◽  
Zhongwei Feng ◽  
Chunqiao Tan
Keyword(s):  
Loss Aversion ◽  
Nash Equilibria ◽  
Necessary Conditions ◽  
Existence Theorems ◽  
Bimatrix Games ◽  
Bimatrix Game ◽  
Fuzzy Variables ◽  
Confidence Levels ◽  
Sufficient And Necessary Conditions ◽  
The Relationship

Inspired by Shalev’s model of loss aversion, we investigate the effect of loss aversion on a bimatrix game where the payoffs in the bimatrix game are characterized by triangular fuzzy variables. First, we define three solution concepts of credibilistic loss aversion Nash equilibria, and their existence theorems are presented. Then, three sufficient and necessary conditions are given to find the credibilistic loss aversion Nash equilibria. Moreover, the relationship among the three credibilistic loss aversion Nash equilibria is discussed in detail. Finally, for2×2bimatix game with triangular fuzzy payoffs, we investigate the effect of loss aversion coefficients and confidence levels on the three credibilistic loss aversion Nash equilibria. It is found that an increase of loss aversion levels of a player leads to a decrease of his/her own payoff. We also find that the equilibrium utilities of players are decreasing (increasing) as their own confidence levels when players employ the optimistic (pessimistic) value criterion.

scholarly journals Examining organisational responses to performance-based financial incentive systems: a case study using NHS staff influenza vaccination rates from 2012/2013 to 2019/2020

2021 ◽  
pp. bmjqs-2021-013671
Author(s):  
Adiba Liaqat ◽  
Suzy Gallier ◽  
Katharine Reeves ◽  
Hannah Crothers ◽  
Felicity Evison ◽  
...  
Keyword(s):  
Influenza Vaccination ◽  
Financial Incentives ◽  
Financial Incentive ◽  
Threshold Effect ◽  
Threshold Effects ◽  
Unintended Effects ◽  
Frontline Staff ◽  
Vaccination Rates ◽  
National Performance ◽  
The Impact

ObjectiveFinancial incentives are often applied to motivate desirable performance across organisations in healthcare systems. In the 2016/2017 financial year, the National Health Service (NHS) in England set a national performance-based incentive to increase uptake of the influenza vaccination among frontline staff. Since then, the threshold levels needed for hospital trusts to achieve the incentive (ie, the targets) have ranged from 70% to 80%. The present study examines the impact of this financial incentive across eight vaccination seasons.DesignA retrospective observational study examining routinely recorded rates of influenza vaccination among staff in all acute NHS hospital trusts across eight vaccination seasons (2012/2013–2019/2020). The number of trusts included varied per year, from 127 to 137, due to organisational changes. McCrary’s density test is conducted to determine if the number of hospital trusts narrowly achieving the target by the end of each season is higher than would be expected in the absence of any responsiveness to the target. We refer to this bunching above the target threshold as a ‘threshold effect’.ResultsIn the years before a national incentive was set, 9%–31% of NHS Trusts reported achieving the target, compared with 43%–74% in the 4 years after. Threshold effects did not emerge before the national incentive for payment was set; however, since then, threshold effects have appeared every year. Some trusts report narrowly achieving the target each year, both as the target rises and falls. Threshold effects were not apparent at targets for partial payments.ConclusionsWe provide compelling evidence that performance-based financial incentives produced threshold effects. Policymakers who set such incentives are encouraged to track threshold effects since they contain information on how organisations are responding to an incentive, what enquiries they may wish to make, how the incentive may be improved and what unintended effects it may be having.

scholarly journals Oscillation of Second-Order Differential Equations with Multiple and Mixed Delays under a Canonical Operator

Mathematics ◽  
2021 ◽  
Vol 9 (12) ◽  
pp. 1323
Author(s):  
Shyam Sundar Santra ◽  
Rami Ahmad El-Nabulsi ◽  
Khaled Mohamed Khedher
Keyword(s):  
Differential Equations ◽  
Necessary Conditions ◽  
Second Order ◽  
Multiple Delays ◽  
Mixed Delays ◽  
Neutral Differential Equations ◽  
Canonical Operator ◽  
Second Order Differential Equations ◽  
The Future ◽  
Sufficient And Necessary Conditions

In this work, we obtained new sufficient and necessary conditions for the oscillation of second-order differential equations with mixed and multiple delays under a canonical operator. Our methods could be applicable to find the sufficient and necessary conditions for any neutral differential equations. Furthermore, we proved the validity of the obtained results via particular examples. At the end of the paper, we provide the future scope of this study.

scholarly journals Properties of Certain Subclass of Meromorphic Multivalent Functions Associated with q-Difference Operator

Symmetry ◽  
2021 ◽  
Vol 13 (6) ◽  
pp. 1035
Author(s):  
Cai-Mei Yan ◽  
Rekha Srivastava ◽  
Jin-Lin Liu
Keyword(s):  
Difference Operator ◽  
Necessary Conditions ◽  
Partial Sums ◽  
Coefficient Estimates ◽  
Radius Of Starlikeness ◽  
Closure Theorems ◽  
Sufficient And Necessary Conditions ◽  
Distortion Theorems ◽  
Growth And Distortion Theorems

A new subclass Σp,q(α,A,B) of meromorphic multivalent functions is defined by means of a q-difference operator. Some properties of the functions in this new subclass, such as sufficient and necessary conditions, coefficient estimates, growth and distortion theorems, radius of starlikeness and convexity, partial sums and closure theorems, are investigated.

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