scholarly journals An impossibility theorem for price-adjustment mechanisms: Fig. 1.

2010 ◽  
Vol 107 (5) ◽  
pp. 1854-1859 ◽  
Author(s):  
Christos H. Papadimitriou ◽  
Mihalis Yannakakis

We show that there is no discrete-time price-adjustment mechanism (any process that at each period looks at the history of prices and excess demands and updates the prices) such that for any market (a set of goods and consumers with endowments and strictly concave utilities) the price-adjustment mechanism will achieve excess demands that are at most an ϵ fraction of the total supply within a number of periods that is polynomial in the number of goods and . This holds even if one restricts markets so that excess demand functions are differentiable with derivatives bounded by a small constant. For the convergence time to the actual price equilibrium, we show by a different method a stronger result: Even in the case of three goods with a unique price equilibrium, there is no function of ϵ that bounds the number of periods needed by a price-adjustment mechanism to arrive at a set of prices that is ϵ-close to the equilibrium.

2020 ◽  
Vol 19 (12) ◽  
pp. 2358-2371
Author(s):  
S.A. Moskal'onov

Subject. The article addresses the history of development and provides the criticism of existing criteria for aggregate social welfare (on the simple exchange economy (the Edgeworth box) case). Objectives. The purpose is to develop a unique classification of criteria to assess the aggregate social welfare. Methods. The study draws on methods of logical and mathematical analysis. Results. The paper considers strong, strict and weak versions of the Pareto, Kaldor, Hicks, Scitovsky, and Samuelson criteria, introduces the notion of equivalence and constructs orderings by Pareto, Kaldor, Hicks, Scitovsky, and Samuelson. The Pareto and Samuelson's criteria are transitive, however, not complete. The Kaldor, Hicks, Scitovsky citeria are not transitive in the general case. Conclusions. The lack of an ideal social welfare criterion is the consequence of the Arrow’s Impossibility Theorem, and of the group of impossibility theorems in economics. It is necessary to develop new approaches to the assessment of aggregate welfare.


Author(s):  
G. Cornelis van Kooten ◽  
Harry Nelson ◽  
Fatemeh Mokhtarzadeh

Abstract In this chapter, we examine the importance of softwood lumber production to Canada's economy and provide a brief history of the Canada-U.S. softwood lumber dispute and its resolution on various occasions using U.S. countervailing and anti-dumping duties, export taxes or various types of quota regimes, including tariff rate quotas. The construction of excess supply and demand functions is explained, as are the gains from trade. This helps inform the modeling approaches that are identified in later chapters.


2018 ◽  
Vol 64 ◽  
pp. 02007 ◽  
Author(s):  
Thi Hiep Do ◽  
Hoffmann Clemens

It has been widely agreed that to incentivize renewables integration into the power system, not only pricing mechanisms, but price adjustment mechanisms have played a vital role, and it has been true for the German Energiewende. This study is to carry out a detailed analysis of investment results influenced by innovative price adjustment mechanisms from an auto degression rate to a feedback system. Employing linear regression models for the historical data of investment in small-scale rooftop PV projects in Germany, we have found out a better correlation between PV system price and feed-in tariff (92.09%) under quarter feedback and monthly adjustment mechanism compared to an annual feedback system. However, the underinvestment in recent years reveals that a feedback mechanism without specific mathematical shapes was not effective enough in term of meeting the targeted volume. Therefore, further researches are to design mathematical images of feedback mechanism in order to find out the trajectory of electricity price in the future which at the same time satisfies the target of investment and economic effectiveness.


Author(s):  
G. Cornelis van Kooten ◽  
Harry Nelson ◽  
Fatemeh Mokhtarzadeh

Abstract In this chapter, we examine the importance of softwood lumber production to Canada's economy and provide a brief history of the Canada-U.S. softwood lumber dispute and its resolution on various occasions using U.S. countervailing and anti-dumping duties, export taxes or various types of quota regimes, including tariff rate quotas. The construction of excess supply and demand functions is explained, as are the gains from trade. This helps inform the modeling approaches that are identified in later chapters.


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