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Convergence of Markovian price processes in a financial market transaction model

Xiaojing Xu (), Jinpeng Ma () and Xiaoping Xie ()
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Xiaojing Xu: Sichuan University
Jinpeng Ma: Rutgers University
Xiaoping Xie: Sichuan University

Operational Research, 2017, vol. 17, issue 1, No 12, 239-273

Abstract: Abstract This paper studies a financial market transaction model and convergence of Markovian price processes generated by an $$\alpha$$ α -double auction in Xu et al. (Expert Syst Appl 41(16):7032–7045, 2014) and extends their results for a fixed $$\alpha$$ α in [0, 1] to the case where $$\alpha$$ α is governed by a time non-homogeneous Markov chain over a set of finite states defined by $$R\equiv \{\alpha _1, \alpha _2, \ldots , \alpha _r\}$$ R ≡ { α 1 , α 2 , … , α r } , $$0\le \alpha _1

Keywords: Double auctions; Bubble and crash; Incremental subgradient methods; Sentiments; Walrasian equilibrium (search for similar items in EconPapers)
Date: 2017
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s12351-015-0224-7

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