Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.250-261
H. Singh
Dialogues are building blocks of tasks and non-tasks of communication, which happen between objects in the universe. Each dialogue is a source of linguistic knowledge within a natural language that explains and elaborates with frame structure in general. In this paper, it is noticed that various forms like (nouns, pronouns, yes-no questions and deletion) are essential part of each dialogue structure (DSS) in Chandan’s work ਜੜਾਂ/Roots. With the help of frames, knowledge representation system (KRS) is prepared for such dialogues in Punjabi. On the other hand, it is argued that highest numbers of nouns are total 45 in DS2 and only 1 deletion case finds in DS3. While DS1 and DS2 both have similar number of 2-2 cases of yes-no questions. The overall evaluation is successfully matched with proposed an algorithm based on frames.
{"title":"Role of frame structure in the development of KRS for learning dialogues.","authors":"H. Singh","doi":"10.17993/3cemp.2022.110250.250-261","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.250-261","url":null,"abstract":"Dialogues are building blocks of tasks and non-tasks of communication, which happen between objects in the universe. Each dialogue is a source of linguistic knowledge within a natural language that explains and elaborates with frame structure in general. In this paper, it is noticed that various forms like (nouns, pronouns, yes-no questions and deletion) are essential part of each dialogue structure (DSS) in Chandan’s work ਜੜਾਂ/Roots. With the help of frames, knowledge representation system (KRS) is prepared for such dialogues in Punjabi. On the other hand, it is argued that highest numbers of nouns are total 45 in DS2 and only 1 deletion case finds in DS3. While DS1 and DS2 both have similar number of 2-2 cases of yes-no questions. The overall evaluation is successfully matched with proposed an algorithm based on frames.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114015970","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.50-62
M. Anilkumar, K. P. Jose
This paper analyses a discrete-time (s, S) queueing inventory model with service time and back-order in inventory. The arrival of customers is assumed to be the Bernoulli process. Service time follows a geometric distribution. As soon as the inventory level reaches a pre-assigned level due to demands, an order for replenishment is placed. Replenishment time also follows a geometric distribution. When the inventory level reduces to zero due to the service of customers or non-replenishment of items, a maximum of k customers are allowed in the system and the remaining customers are assumed to be completely lost till the replenishment. Matrix-Analytic Method (MAM) is used to analyze the model. Stability conditions, various performance measures of the system, waiting-time distribution and reorder-time distribution are obtained. Numerical experiments are also incorporated.
{"title":"Analysis is a discrete time queueing-inventory model with back-order of items","authors":"M. Anilkumar, K. P. Jose","doi":"10.17993/3cemp.2022.110250.50-62","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.50-62","url":null,"abstract":"This paper analyses a discrete-time (s, S) queueing inventory model with service time and back-order in inventory. The arrival of customers is assumed to be the Bernoulli process. Service time follows a geometric distribution. As soon as the inventory level reaches a pre-assigned level due to demands, an order for replenishment is placed. Replenishment time also follows a geometric distribution. When the inventory level reduces to zero due to the service of customers or non-replenishment of items, a maximum of k customers are allowed in the system and the remaining customers are assumed to be completely lost till the replenishment. Matrix-Analytic Method (MAM) is used to analyze the model. Stability conditions, various performance measures of the system, waiting-time distribution and reorder-time distribution are obtained. Numerical experiments are also incorporated.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"82 5 Pt 1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116410307","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.15-31
Abdul Rof, A. Krishnamoorthy
Consider an inventoried item for which reduction in sales price is declared as the age of the item increases. Decision to maintain sales price at the same level/reduce, is taken at stages 2, · · · , k − 1, k. On the items attaining CLT, they are sold at scrap value, provided items are still left in stock. Customer arrival forms a non-homogenous Poisson process, with rate increasing with each sales price reduction. Service time follows exponential distribution.The items are replenished according to (S, s) policy with positive lead time. Each stage of CLT is iid which follows a Phase type distribution with representation(α, S) of orderm. The k-fold convolution of this distribution is the CLT of the inventoried items. The problem is modelled as a queueing-inventory problem which is a continuous time Markov chain (CTMC). The stationary distribution of this CTMC is computed and various performance measures are discussed. A cost function is constructed to compute the optimal order quantity and reorder level.The model is compared with queueing inventory model in which the CLT follows Erlang Distribution of order k.
{"title":"On a queueing inventory with common life time and reduction sale consequent to increase in age","authors":"Abdul Rof, A. Krishnamoorthy","doi":"10.17993/3cemp.2022.110250.15-31","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.15-31","url":null,"abstract":"Consider an inventoried item for which reduction in sales price is declared as the age of the item increases. Decision to maintain sales price at the same level/reduce, is taken at stages 2, · · · , k − 1, k. On the items attaining CLT, they are sold at scrap value, provided items are still left in stock. Customer arrival forms a non-homogenous Poisson process, with rate increasing with each sales price reduction. Service time follows exponential distribution.The items are replenished according to (S, s) policy with positive lead time. Each stage of CLT is iid which follows a Phase type distribution with representation(α, S) of orderm. The k-fold convolution of this distribution is the CLT of the inventoried items. The problem is modelled as a queueing-inventory problem which is a continuous time Markov chain (CTMC). The stationary distribution of this CTMC is computed and various performance measures are discussed. A cost function is constructed to compute the optimal order quantity and reorder level.The model is compared with queueing inventory model in which the CLT follows Erlang Distribution of order k.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"54 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128898957","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.186-196
B. Shankar
A brief account of some of the major results in additive number theory is given along with a small list of problems.
简要叙述了加性数论的一些主要结果,并列出了一些问题。
{"title":"Additive Number Theory: Notes and Some Problems","authors":"B. Shankar","doi":"10.17993/3cemp.2022.110250.186-196","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.186-196","url":null,"abstract":"A brief account of some of the major results in additive number theory is given along with a small list of problems.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129114252","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.173-184
V. A. Anjali, Athul Augustine, P. Shankar
In this article, we introduce the notions of Z-finite representations and Z-separation property of representations for operator Z-systems generating C∗-algebras. We use these notions to characterize the Z-boundary representations for operator Z-systems. We introduce Z-hyperrigidity of operator Z-systems. We investigate an analogue version of Saskin’s theorem in the setting of operator Z-systems generating C∗-algebras.
{"title":"Z-Hyperrigidity and Z-boundary representations","authors":"V. A. Anjali, Athul Augustine, P. Shankar","doi":"10.17993/3cemp.2022.110250.173-184","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.173-184","url":null,"abstract":"In this article, we introduce the notions of Z-finite representations and Z-separation property of representations for operator Z-systems generating C∗-algebras. We use these notions to characterize the Z-boundary representations for operator Z-systems. We introduce Z-hyperrigidity of operator Z-systems. We investigate an analogue version of Saskin’s theorem in the setting of operator Z-systems generating C∗-algebras.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129530597","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.214-220
Vineeth C. Johnson, Jyoti S Bali, C. B. Kolanur, Shilpa Tanwashi
Quality Control (QC) has recently emerged as a significant global trend among manufacturers, adopting intelligent manufacturing practices in view of Industry 4.0 requirements. Intelligent manufacturing is the process of enhancing production through the use of cutting-edge technologies, sensor integration, analytics, and the Internet of Things (IoT). The proposed paper mainly focuses on the study of the scope and the evolution of quality control techniques from conventional practices to intelligent approaches along with the state of art technologies in place. The challenges faced in building intelligent QC systems, in terms of security, system integration, Interoperability, and Humanrobot collaboration, are highlighted. Surface defect detection has evolved as a critical QC application in modern manufacturing setups to ensure high-quality products with high market demand. Further, the recent trends and issues involved in surface defect detection using intelligent QC techniques are discussed. The methodology of implementing surface defect detection on cement wall surfaces using the Haar Cascade Classifier is discussed.
{"title":"Industry 4.0: Intelligent Quality Control and Surface Defect Detection","authors":"Vineeth C. Johnson, Jyoti S Bali, C. B. Kolanur, Shilpa Tanwashi","doi":"10.17993/3cemp.2022.110250.214-220","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.214-220","url":null,"abstract":"Quality Control (QC) has recently emerged as a significant global trend among manufacturers, adopting intelligent manufacturing practices in view of Industry 4.0 requirements. Intelligent manufacturing is the process of enhancing production through the use of cutting-edge technologies, sensor integration, analytics, and the Internet of Things (IoT). The proposed paper mainly focuses on the study of the scope and the evolution of quality control techniques from conventional practices to intelligent approaches along with the state of art technologies in place. The challenges faced in building intelligent QC systems, in terms of security, system integration, Interoperability, and Humanrobot collaboration, are highlighted. Surface defect detection has evolved as a critical QC application in modern manufacturing setups to ensure high-quality products with high market demand. Further, the recent trends and issues involved in surface defect detection using intelligent QC techniques are discussed. The methodology of implementing surface defect detection on cement wall surfaces using the Haar Cascade Classifier is discussed.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"65 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122689530","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.263-275
Dattatraya V. Bhise, Sumant A. Choudhari, Manoj A. Kumbhalkar, Mhalsakant M. Sardeshmukh
In almost every part of the world, small and medium-sized businesses (SMEs) are seen as the backbone of economic expansion. Small and medium-sized enterprises (SMEs) typically have a simpler organisational structure than large corporations, which allows them to be more adaptable, provide instantaneous feedback, have shorter decision-making chains, and respond more quickly to customer needs. Even so, SMEs face enormous pressure to stay competitive in both domestic and international markets. Globalization, new technologies, and evolving consumer preferences are all contributing to a shift in the competitive landscape. These shifts are compelling small and mediumsized enterprises to adopt cutting-edge manufacturing techniques. The goal of this research is to identify the critical success factors (CSFs) that will help and guarantee that SMEs will be able to successfully implement AMTs (SMEs). Literature-based CSFs for AMT deployment are collected and fine-tuned using input from professionals in the field and scholars in the academy. The method of interpretive structural modelling (ISM) is applied to this CSF analysis. According to the ISM study, the three most important factors influencing the adoption of AMT are "Top management support and commitment," "entrepreneurial environment," and "financial availability." The desired goal of AMT implementation is found to be "performance improvement" and "sustainable AMT implementation." The identified CSFs and the structural relationship between them will help SMEs' top management create and prioritise business strategies that ease the implementation of AMT. The study's results point potential AMT financiers in the right direction by highlighting a handful of critical considerations that will improve the project's chances of success.
{"title":"Modelling the critical success factors for advanced manufacturing technology implementation in small and medium sized enterprises","authors":"Dattatraya V. Bhise, Sumant A. Choudhari, Manoj A. Kumbhalkar, Mhalsakant M. Sardeshmukh","doi":"10.17993/3cemp.2022.110250.263-275","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.263-275","url":null,"abstract":"In almost every part of the world, small and medium-sized businesses (SMEs) are seen as the backbone of economic expansion. Small and medium-sized enterprises (SMEs) typically have a simpler organisational structure than large corporations, which allows them to be more adaptable, provide instantaneous feedback, have shorter decision-making chains, and respond more quickly to customer needs. Even so, SMEs face enormous pressure to stay competitive in both domestic and international markets. Globalization, new technologies, and evolving consumer preferences are all contributing to a shift in the competitive landscape. These shifts are compelling small and mediumsized enterprises to adopt cutting-edge manufacturing techniques. The goal of this research is to identify the critical success factors (CSFs) that will help and guarantee that SMEs will be able to successfully implement AMTs (SMEs). Literature-based CSFs for AMT deployment are collected and fine-tuned using input from professionals in the field and scholars in the academy. The method of interpretive structural modelling (ISM) is applied to this CSF analysis. According to the ISM study, the three most important factors influencing the adoption of AMT are \"Top management support and commitment,\" \"entrepreneurial environment,\" and \"financial availability.\" The desired goal of AMT implementation is found to be \"performance improvement\" and \"sustainable AMT implementation.\" The identified CSFs and the structural relationship between them will help SMEs' top management create and prioritise business strategies that ease the implementation of AMT. The study's results point potential AMT financiers in the right direction by highlighting a handful of critical considerations that will improve the project's chances of success.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"27 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115838431","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.139-151
M. R.
A production-inventory system with the item produced being admitted (added to the inventory) with probability δ as well as an item from the inventory supplied to the customer with probability γ at the end of a service, is considered in this paper. The (s, S) control policy is followed. We obtain the joint distribution of the number of customers and the number of items in the inventory as the product of their marginals under the assumption that customers do not join when the inventory level is zero. Performance measures that impact the system are obtained. A few level-crossing results are derived. In particular optimal pairs (s, S) are obtained through numerical procedures for values of (γ, δ) on the set {0.1, 0.2, . . . , 1} × {0.1, 0.2, . . . , 1} . A comparison of the performance measures for a few (γ, δ) pair values is provided. Finally, we discuss the first emptiness time distribution for the M/M/1/1 production-inventory system.
{"title":"On a production-inventory system with defective items and lost sales","authors":"M. R.","doi":"10.17993/3cemp.2022.110250.139-151","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.139-151","url":null,"abstract":"A production-inventory system with the item produced being admitted (added to the inventory) with probability δ as well as an item from the inventory supplied to the customer with probability γ at the end of a service, is considered in this paper. The (s, S) control policy is followed. We obtain the joint distribution of the number of customers and the number of items in the inventory as the product of their marginals under the assumption that customers do not join when the inventory level is zero. Performance measures that impact the system are obtained. A few level-crossing results are derived. In particular optimal pairs (s, S) are obtained through numerical procedures for values of (γ, δ) on the set {0.1, 0.2, . . . , 1} × {0.1, 0.2, . . . , 1} . A comparison of the performance measures for a few (γ, δ) pair values is provided. Finally, we discuss the first emptiness time distribution for the M/M/1/1 production-inventory system.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"22 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125694978","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.116-137
S. S., A. Krishnamoorthy
In this paper, we consider two queueing models. Model I is on a single-server queueing system in which the arrival process follows MAP with representation D = (D0,D1) of order m and service time follows phase-type distribution (β, S) of order n. When a customer enters into service, a generalized Erlang clock is started simultaneously. The clock has k stages. The pth stage parameter is θp for 1 ≤ p ≤ k. If a customer completes the service in between the realizations of stages k1 and k2 (1 < k1 < k2 < k) of the clock, it is a perfect one. On the other hand, if the service gets completed either before the kth1 stage realization or after the kth2 stage realization, it is discarded because of imperfection. We analyse this model using the matrix-geometric method. We obtain the expected service time and expected waiting time of a tagged customer. Additional performance measures are also computed. We construct a revenue function and numerically analyse it. In Model II, a single server queueing system in which all assumptions are the same as in Model I except the assumption on service time, is considered. Up to stage k1 service time follows phase-type distribution (α′ , T′) of order n1 and beyond stage k1, the service time follows phase type distribution (β′ , S′) of order n2. We compare the values of the revenue function of the two models
{"title":"MAP/PH/1 queue with discarding customers having imperfect service","authors":"S. S., A. Krishnamoorthy","doi":"10.17993/3cemp.2022.110250.116-137","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.116-137","url":null,"abstract":"In this paper, we consider two queueing models. Model I is on a single-server queueing system in which the arrival process follows MAP with representation D = (D0,D1) of order m and service time follows phase-type distribution (β, S) of order n. When a customer enters into service, a generalized Erlang clock is started simultaneously. The clock has k stages. The pth stage parameter is θp for 1 ≤ p ≤ k. If a customer completes the service in between the realizations of stages k1 and k2 (1 < k1 < k2 < k) of the clock, it is a perfect one. On the other hand, if the service gets completed either before the kth1 stage realization or after the kth2 stage realization, it is discarded because of imperfection. We analyse this model using the matrix-geometric method. We obtain the expected service time and expected waiting time of a tagged customer. Additional performance measures are also computed. We construct a revenue function and numerically analyse it. In Model II, a single server queueing system in which all assumptions are the same as in Model I except the assumption on service time, is considered. Up to stage k1 service time follows phase-type distribution (α′ , T′) of order n1 and beyond stage k1, the service time follows phase type distribution (β′ , S′) of order n2. We compare the values of the revenue function of the two models","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"52 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123909906","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}
Pub Date : 2022-12-29DOI: 10.17993/3cemp.2022.110250.76-92
Subrata Golui, Chandan Pal
In this manuscript, we study continuous-time risk-sensitive finite-horizon time-homogeneous zero-sum dynamic games for controlled Markov decision processes (MDP) on a Borel space. Here, the transition and payoff functions are extended real-valued functions. We prove the existence of the game’s value and the uniqueness of the solution of Shapley equation under some reasonable assumptions. Moreover, all possible saddle-point equilibria are completely characterized in the class of all admissible feedback multi-strategies. We also provide an example to support our assumptions.
{"title":"Continuous-time zero-sum games for Markov decision processes with risk-sensitive finite-horizon cost criterio on a general state space","authors":"Subrata Golui, Chandan Pal","doi":"10.17993/3cemp.2022.110250.76-92","DOIUrl":"https://doi.org/10.17993/3cemp.2022.110250.76-92","url":null,"abstract":"In this manuscript, we study continuous-time risk-sensitive finite-horizon time-homogeneous zero-sum dynamic games for controlled Markov decision processes (MDP) on a Borel space. Here, the transition and payoff functions are extended real-valued functions. We prove the existence of the game’s value and the uniqueness of the solution of Shapley equation under some reasonable assumptions. Moreover, all possible saddle-point equilibria are completely characterized in the class of all admissible feedback multi-strategies. We also provide an example to support our assumptions.","PeriodicalId":365908,"journal":{"name":"3C Empresa. Investigación y pensamiento crítico","volume":"53 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133300985","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}