Regional differences in carbon emission efficiency arise from disparities in resource distribution, industrial structure, and development level, which are often influenced by government policy preferences. However, currently, most studies fail to consider the impact of government policy preferences and data uncertainty on carbon emission efficiency. To address the above limitations, this study proposes a hybrid model based on $delta$-slack-based model ($delta$-SBM) and ordinal priority approach (OPA) for measuring carbon emission efficiency driven by government policy preferences under data uncertainty. The proposed $delta$-SBM-OPA model incorporates constraints on the importance of input and output variables under different policy preference scenarios. It then develops the efficiency optimization model with Farrell frontiers and efficiency tapes to deal with the data uncertainty in input and output variables. This study demonstrates the proposed model by analyzing industrial carbon emission efficiency of Chinese provinces in 2021. It examines the carbon emission efficiency and corresponding clustering results of provinces under three types of policies: economic priority, environmental priority, and technological priority, with varying priority preferences. The results indicate that the carbon emission efficiency of the 30 provinces can mainly be categorized into technology-driven, development-balanced, and transition-potential types, with most provinces achieving optimal efficiency under the technology-dominant preferences across all policy scenarios. Ultimately, this study suggests a tailored roadmap and crucial initiatives for different provinces to progressively and systematically work towards achieving the low carbon goal.
{"title":"A Novel $δ$-SBM-OPA Approach for Policy-Driven Analysis of Carbon Emission Efficiency under Uncertainty in the Chinese Industrial Sector","authors":"Shutian Cui, Renlong Wang, Xiaoyan Li","doi":"arxiv-2408.11600","DOIUrl":"https://doi.org/arxiv-2408.11600","url":null,"abstract":"Regional differences in carbon emission efficiency arise from disparities in\u0000resource distribution, industrial structure, and development level, which are\u0000often influenced by government policy preferences. However, currently, most\u0000studies fail to consider the impact of government policy preferences and data\u0000uncertainty on carbon emission efficiency. To address the above limitations,\u0000this study proposes a hybrid model based on $delta$-slack-based model\u0000($delta$-SBM) and ordinal priority approach (OPA) for measuring carbon\u0000emission efficiency driven by government policy preferences under data\u0000uncertainty. The proposed $delta$-SBM-OPA model incorporates constraints on\u0000the importance of input and output variables under different policy preference\u0000scenarios. It then develops the efficiency optimization model with Farrell\u0000frontiers and efficiency tapes to deal with the data uncertainty in input and\u0000output variables. This study demonstrates the proposed model by analyzing\u0000industrial carbon emission efficiency of Chinese provinces in 2021. It examines\u0000the carbon emission efficiency and corresponding clustering results of\u0000provinces under three types of policies: economic priority, environmental\u0000priority, and technological priority, with varying priority preferences. The\u0000results indicate that the carbon emission efficiency of the 30 provinces can\u0000mainly be categorized into technology-driven, development-balanced, and\u0000transition-potential types, with most provinces achieving optimal efficiency\u0000under the technology-dominant preferences across all policy scenarios.\u0000Ultimately, this study suggests a tailored roadmap and crucial initiatives for\u0000different provinces to progressively and systematically work towards achieving\u0000the low carbon goal.","PeriodicalId":501273,"journal":{"name":"arXiv - ECON - General Economics","volume":"10 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192821","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
The use of reinforcement learning algorithms in financial trading is becoming increasingly prevalent. However, the autonomous nature of these algorithms can lead to unexpected outcomes that deviate from traditional game-theoretical predictions and may even destabilize markets. In this study, we examine a scenario in which two autonomous agents, modeled with Double Deep Q-Learning, learn to liquidate the same asset optimally in the presence of market impact, using the Almgren-Chriss (2000) framework. Our results show that the strategies learned by the agents deviate significantly from the Nash equilibrium of the corresponding market impact game. Notably, the learned strategies exhibit tacit collusion, closely aligning with the Pareto-optimal solution. We further explore how different levels of market volatility influence the agents' performance and the equilibria they discover, including scenarios where volatility differs between the training and testing phases.
{"title":"Deviations from the Nash equilibrium and emergence of tacit collusion in a two-player optimal execution game with reinforcement learning","authors":"Fabrizio Lillo, Andrea Macrì","doi":"arxiv-2408.11773","DOIUrl":"https://doi.org/arxiv-2408.11773","url":null,"abstract":"The use of reinforcement learning algorithms in financial trading is becoming\u0000increasingly prevalent. However, the autonomous nature of these algorithms can\u0000lead to unexpected outcomes that deviate from traditional game-theoretical\u0000predictions and may even destabilize markets. In this study, we examine a\u0000scenario in which two autonomous agents, modeled with Double Deep Q-Learning,\u0000learn to liquidate the same asset optimally in the presence of market impact,\u0000using the Almgren-Chriss (2000) framework. Our results show that the strategies\u0000learned by the agents deviate significantly from the Nash equilibrium of the\u0000corresponding market impact game. Notably, the learned strategies exhibit tacit\u0000collusion, closely aligning with the Pareto-optimal solution. We further\u0000explore how different levels of market volatility influence the agents'\u0000performance and the equilibria they discover, including scenarios where\u0000volatility differs between the training and testing phases.","PeriodicalId":501273,"journal":{"name":"arXiv - ECON - General Economics","volume":"143 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
This paper investigates the value of recommendations for disseminating economic information, with a focus on frictions resulting from preference heterogeneity. We consider Bayesian expected-payoff maximizers who receive non-strategic recommendations by other consumers. The paper provides conditions under which different consumer types accept these recommendations. Moreover, we assess the overall value of a recommendation system and the determinants of that value. Our analysis highlights the importance of disentangling objective information from subjective preferences when designing value-maximizing recommendation systems.
{"title":"A Theory of Recommendations","authors":"Jean-Michel Benkert, Armin Schmutzler","doi":"arxiv-2408.11362","DOIUrl":"https://doi.org/arxiv-2408.11362","url":null,"abstract":"This paper investigates the value of recommendations for disseminating\u0000economic information, with a focus on frictions resulting from preference\u0000heterogeneity. We consider Bayesian expected-payoff maximizers who receive\u0000non-strategic recommendations by other consumers. The paper provides conditions\u0000under which different consumer types accept these recommendations. Moreover, we\u0000assess the overall value of a recommendation system and the determinants of\u0000that value. Our analysis highlights the importance of disentangling objective\u0000information from subjective preferences when designing value-maximizing\u0000recommendation systems.","PeriodicalId":501273,"journal":{"name":"arXiv - ECON - General Economics","volume":"33 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192823","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Each household in a population characterized by income heterogeneity faces random demand for electricity and decides if and when it should adopt a solar product, rooftop solar or community solar. A central planner, aiming to meet an adoption level target within a set time, offers net metering and subsidy on solar products and minimizes its total cost. Our focus is on analyzing the interactions of three new features we add to the literature: income diversity, availability of community solar, and consideration of adoption timing. {Methodology and results:} We develop a bilevel optimization formulation to derive the optimal subsidy policy. The upper level (planner's) problem is a constrained non-linear optimization model in which the planner aims to minimize the average subsidy cost. The lower level (household's) problem is an optimal stopping formulation, which captures the adoption decisions of the households. We derive a closed-form expression for the distribution of optimal adoption time of households for a given subsidy policy. We show that the planner's problem is convex in the case of homogeneous subsidy for the two products. {Managerial implications:} Our results underscore the importance for planners to consider three factors - adoption level target, time target, and subsidy budget - simultaneously as they work in tandem to influence the adoption outcome. The planners must also consider the inclusion of community solar in their plans because, as we show, community and rooftop solar attract households from different sides of the income spectrum. In the presence of income inequality, the availability of community makes it easier to meet solar adoption targets.
{"title":"Rooftop and Community Solar Adoption with Income Heterogeneity","authors":"Swapnil Rayal, Apurva Jain, Matthew Lorig","doi":"arxiv-2408.11970","DOIUrl":"https://doi.org/arxiv-2408.11970","url":null,"abstract":"Each household in a population characterized by income heterogeneity faces\u0000random demand for electricity and decides if and when it should adopt a solar\u0000product, rooftop solar or community solar. A central planner, aiming to meet an\u0000adoption level target within a set time, offers net metering and subsidy on\u0000solar products and minimizes its total cost. Our focus is on analyzing the\u0000interactions of three new features we add to the literature: income diversity,\u0000availability of community solar, and consideration of adoption timing.\u0000{Methodology and results:} We develop a bilevel optimization formulation to\u0000derive the optimal subsidy policy. The upper level (planner's) problem is a\u0000constrained non-linear optimization model in which the planner aims to minimize\u0000the average subsidy cost. The lower level (household's) problem is an optimal\u0000stopping formulation, which captures the adoption decisions of the households.\u0000We derive a closed-form expression for the distribution of optimal adoption\u0000time of households for a given subsidy policy. We show that the planner's\u0000problem is convex in the case of homogeneous subsidy for the two products.\u0000{Managerial implications:} Our results underscore the importance for planners\u0000to consider three factors - adoption level target, time target, and subsidy\u0000budget - simultaneously as they work in tandem to influence the adoption\u0000outcome. The planners must also consider the inclusion of community solar in\u0000their plans because, as we show, community and rooftop solar attract households\u0000from different sides of the income spectrum. In the presence of income\u0000inequality, the availability of community makes it easier to meet solar\u0000adoption targets.","PeriodicalId":501273,"journal":{"name":"arXiv - ECON - General Economics","volume":"4 1","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142192820","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Dimitar Kitanovski, Igor Mishkovski, Viktor Stojkoski, Miroslav Mirchev
Maintaining a balance between returns and volatility is a common strategy for portfolio diversification, whether investing in traditional equities or digital assets like cryptocurrencies. One approach for diversification is the application of community detection or clustering, using a network representing the relationships between assets. We examine two network representations, one based on a standard distance matrix based on correlation, and another based on mutual information. The Louvain and Affinity propagation algorithms were employed for finding the network communities (clusters) based on annual data. Furthermore, we examine building assets' co-occurrence networks, where communities are detected for each month throughout a whole year and then the links represent how often assets belong to the same community. Portfolios are then constructed by selecting several assets from each community based on local properties (degree centrality), global properties (closeness centrality), or explained variance (Principal component analysis), with three value ranges (max, med, min), calculated on a maximal spanning tree or a fully connected community sub-graph. We explored these various strategies on data from the S&P