Tuesday, December 31, 2013

Brouwer/Kakutani's fixed point theorem Stock prices

[PPT]

Part b - People

people.csail.mit.edu/costis/6896sp10/Lecture13b.pptx

"Stock prices have reached what looks like a permanently high plateau." Market ... under very general conditions using Brouwer/Kakutani's fixed point theorem.
 
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  2. Sep 23, 2011 - Brouwer's fixed point theorem...why mathematics is fun ... do indeed have an equilibrium set of prices which makes supply equal demand for all goods. .... Financial Times numeracy check · High-frequency trading: taming the ...
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    As Haldane notes, the risk a market maker faces -- in holding stocks which .... to post very frequently on Brouwer's fixed point theorem, but I had to look into it a ...
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    I'm not going to post very frequently on Brouwer's fixed point theorem, but I had to ... an equilibrium set of prices which makes supply equal demand for all goods. ... Financial Times numeracy check · High-frequency trading: taming the chaos ...
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      1. General equilibrium theory - Wikipedia, the free encyclopedia

      1. en.wikipedia.org/wiki/General_equilibrium_theory
      It seeks to explain the behavior of supply, demand, and prices in a whole economy ... only incorporates a few markets, like a "goods market" and a "financial market". .... to Uzawa's derivation of Brouwer's fixed point theorem from Walras's law. .... In a real economy, however, trading, as well as production and consumption, ...
      1. Herbert Scarf - Wikipedia, the free encyclopedia

      1. en.wikipedia.org/wiki/Herbert_Scarf
      After the talk Scarf and Shubik took a long walk from 125th street to Shubik's ... Scarf's first proof of this theorem relied on Brouwer's fixed point theorem, but his hope .... holding cost of its inventory and a shortage cost if the good runs out of stock. ... Consider a situation: Several traders each bring his/her bundle of goods to a ...
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    2. the Brouwer or Kakutani fixed point theorems, constructive proofs of which serve as the ... This is the case of financial markets, in which the items being exchanged .... (1) agent truthfully reveal their preferences, (2) no trading takes place before.
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    2. traders nearly doubled their share in the U.S. stock markets between 1980 and ...... into itself and hence by Brouwer fixed point theorem the fixed point exists. 26 ...
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