A cautious price adjustment mechanism: Chaotic behavior

1995 ◽  
Vol 27 (2) ◽  
pp. 293-300 ◽  
Author(s):  
Claus Weddepohl
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.


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):  
Angelo Marcelo Tusset ◽  
Rodrigo Tumolin Rocha ◽  
Frederic Conrad Janzen ◽  
José Manoel Balthazar

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