Presentation 2011/11/10
Equilibrium Analysis of Irreversible Investment between Leader and Follower under Price/Demand Functions described by Variables including Jump Diffusion Processes
Shozo TOKINAGA, Yosinori KISHIKAWA,
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Abstract(in English) This report deals with the equilibrium analysis of irreversible investment between leader and follower under price/demand functions described by variables including jump diffusion processes. At first, we summarize basic problem to estimate the effect of leader's investment inducing follower's behavior on investment. Then, we extend the model to cases where price and demand time series are represented by variables including jump diffusion processes, and derive optimal behavior of leader and follower based on the stochastic dynamic programming. We evaluate the effect of the jump diffusion processes on the profits of firms which are derived from equilibrium points between leader and follower by using comparative studies for cases with no jump diffusion.
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Keyword(in English) Jump diffusion processes / leader and follower / equilibrium analysis / stochastic dynamics programming
Paper # MSS2011-34,CAS2011-65
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Conference Date 2011/11/10(1days)
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Registration To Mathematical Systems Science and its applications(MSS)
Language JPN
Title (in Japanese) (See Japanese page)
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Title (in English) Equilibrium Analysis of Irreversible Investment between Leader and Follower under Price/Demand Functions described by Variables including Jump Diffusion Processes
Sub Title (in English)
Keyword(1) Jump diffusion processes
Keyword(2) leader and follower
Keyword(3) equilibrium analysis
Keyword(4) stochastic dynamics programming
1st Author's Name Shozo TOKINAGA
1st Author's Affiliation Graduate School of Economics, Kyushu University()
2nd Author's Name Yosinori KISHIKAWA
2nd Author's Affiliation UBE National College of Technology
Date 2011/11/10
Paper # MSS2011-34,CAS2011-65
Volume (vol) vol.111
Number (no) 294
Page pp.pp.-
#Pages 6
Date of Issue