{"title":"帕累托最优值的可达性","authors":"Bernard Cornet","doi":"10.1016/j.jmateco.2024.103059","DOIUrl":null,"url":null,"abstract":"<div><div>Non-tâtonnement processes and planning procedures have been defined in different economic contexts, as dynamic processes to reach efficient allocations, with or without price adjustment, satisfying the property that, along the process, the utility of every agent is non-decreasing and transactions can occur, thus making a clear distinction with the study of tâtonnement processes whose goal is to reach competitive equilibria with transactions occurring only at equilibrium.</div><div>In this paper, we provide sufficient conditions guaranteeing that every Pareto optimum which is preferred or indifferent to some given initial situation by every agent is accessible by a monotone efficient dynamic process. The framework considered is general enough to encompass the accessibility of Pareto optima by a non-tâtonnement barter process in an exchange economy, the neutrality of the MDP procedure in an economy with public goods, and other types of planning procedures.</div></div>","PeriodicalId":50145,"journal":{"name":"Journal of Mathematical Economics","volume":"115 ","pages":"Article 103059"},"PeriodicalIF":1.0000,"publicationDate":"2024-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Accessibility of Pareto optima\",\"authors\":\"Bernard Cornet\",\"doi\":\"10.1016/j.jmateco.2024.103059\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>Non-tâtonnement processes and planning procedures have been defined in different economic contexts, as dynamic processes to reach efficient allocations, with or without price adjustment, satisfying the property that, along the process, the utility of every agent is non-decreasing and transactions can occur, thus making a clear distinction with the study of tâtonnement processes whose goal is to reach competitive equilibria with transactions occurring only at equilibrium.</div><div>In this paper, we provide sufficient conditions guaranteeing that every Pareto optimum which is preferred or indifferent to some given initial situation by every agent is accessible by a monotone efficient dynamic process. The framework considered is general enough to encompass the accessibility of Pareto optima by a non-tâtonnement barter process in an exchange economy, the neutrality of the MDP procedure in an economy with public goods, and other types of planning procedures.</div></div>\",\"PeriodicalId\":50145,\"journal\":{\"name\":\"Journal of Mathematical Economics\",\"volume\":\"115 \",\"pages\":\"Article 103059\"},\"PeriodicalIF\":1.0000,\"publicationDate\":\"2024-09-21\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Mathematical Economics\",\"FirstCategoryId\":\"96\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0304406824001198\",\"RegionNum\":4,\"RegionCategory\":\"经济学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"ECONOMICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Mathematical Economics","FirstCategoryId":"96","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0304406824001198","RegionNum":4,"RegionCategory":"经济学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ECONOMICS","Score":null,"Total":0}
Non-tâtonnement processes and planning procedures have been defined in different economic contexts, as dynamic processes to reach efficient allocations, with or without price adjustment, satisfying the property that, along the process, the utility of every agent is non-decreasing and transactions can occur, thus making a clear distinction with the study of tâtonnement processes whose goal is to reach competitive equilibria with transactions occurring only at equilibrium.
In this paper, we provide sufficient conditions guaranteeing that every Pareto optimum which is preferred or indifferent to some given initial situation by every agent is accessible by a monotone efficient dynamic process. The framework considered is general enough to encompass the accessibility of Pareto optima by a non-tâtonnement barter process in an exchange economy, the neutrality of the MDP procedure in an economy with public goods, and other types of planning procedures.
期刊介绍:
The primary objective of the Journal is to provide a forum for work in economic theory which expresses economic ideas using formal mathematical reasoning. For work to add to this primary objective, it is not sufficient that the mathematical reasoning be new and correct. The work must have real economic content. The economic ideas must be interesting and important. These ideas may pertain to any field of economics or any school of economic thought.