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Title of Journal: J Optim Theory Appl

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Abbravation: Journal of Optimization Theory and Applications

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Springer US

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DOI

10.1007/s12221-010-0851-9

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1573-2878

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Game Analysis of Investment in a Group with Sticki

Authors: Cheng Wang Lili Deng
Publish Date: 2012/06/29
Volume: 155, Issue: 3, Pages: 1047-1059
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Abstract

This paper studies the investment in a group with stickiness A group investment game is constructed By analyzing the best response of each player the equilibria are presented Furthermore the convergence region of each equilibrium is outlined and the sensitivity analysis of the region to parameters is explored The game with two players is given to illustrate the convergence region of each equilibrium The explanation and illustration of the results are summarized The findings indicate that a successful investment usually occurs in a group with “tolerance” “opensharing” “efficiency” “sensitivity” and with large membersThis work was partially supported by the Natural Science Foundation of Zhejiang University of Technology No 2011XY006 National Natural Science Foundation of China Grant No 70971118 and Foundation of Zhejiang Educational Committee No Y201121675Without any loss of generality consider player i∈N Then overlinex i=1geq fracd1n1 It follows from 12 that mathrmBR iboldsymbolx i= mathrmBR i mathrmBboldsymbolx i if overlinex i fracdn1 and mathrmBR iboldsymbolx i=mathrmBR i mathrmAboldsymbolx i if overlinex igeq fracdn1

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