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Duopoly models with a joint capacity constraint
Authors:Aiyuan?Tao,X.?Henry?Wang  author-information"  >  author-information__contact u-icon-before"  >  mailto:wangx@missouri.edu"   title="  wangx@missouri.edu"   itemprop="  email"   data-track="  click"   data-track-action="  Email author"   data-track-label="  "  >Email author  author-information__orcid u-icon-before icon--orcid u-icon-no-repeat"  >  http://orcid.org/---"   itemprop="  url"   title="  View OrcID profile"   target="  _blank"   rel="  noopener"   data-track="  click"   data-track-action="  OrcID"   data-track-label="  "  >View author&#  s OrcID profile,Bill?Z.?Yang
Affiliation:1.Department of Theoretical Economics,National Research University Higher School of Economics,Moscow,Russia
Abstract:The paper proposes a two-stage mixed duopoly model of exhaustible resource market where at the first stage the government decides on the degree of privatization of public firm and at the second stage the public and private firms decide simultaneously on the two-period extraction paths. It is demonstrated that if the two firms have symmetric technologies with increasing marginal extraction costs and the same resource stocks, then neither full nationalization of any of the two firms nor full privatization will be socially desirable. It is shown that the presence of a semi-public firm improves intertemporal allocation of the fixed resource stock. Thus, partial privatization is optimal even under exogenously fixed total outputs of each firm. For asymmetric cost case, when the public firm is less efficient than the private firm, we derive the conditions under which full nationalization or full privatization is optimal.
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