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Schemat arbitrażowy Nasha, a podział zysków w bilateralnym monopolu kopalni węgla brunatnego i elektrowni. Cześć pierwsza – podstawy teoretyczne
[Nash bargaining solution and the split of profit in bilateral monopoly of lignite opencast mine and power plant. Part one – theoretical background]


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  • Jurdziak, Leszek


The newest findings in analysis of bilateral monopoly (BM) of lignite opencast mine & power plant have been discussed. The determinism of optimal solution not only in quantity of lignite (the size and shape of the ultimate pit) but also in its price has been depicted. It has been proposed to treat negotiation between power plant and mine as a two stage, cooperative, non-zero sum two-person game. In the first stage the ultimate pit maximizing the joint profit of BM would be chosen and in the second during bargaining the split of profit would be decided together with the transfer price of lignite. The differences of strategic and tactical negotiations have been depicted and the needs of frequent adjustments to changing conditions have been stressed. It has been proposed to treat this adjustment as a real option to change scale of activity. The Nash bargaining solution has been proposed as a tool for equitable split of profit in BM and conditions of good solution have been discussed.

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Bibliographic Info

Paper provided by University Library of Munich, Germany in its series MPRA Paper with number 4142.

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Date of creation: 17 Jan 2006
Date of revision: 17 Jan 2006
Publication status: Published in Górnictwo Odkrywkowe (Opencast Mining) No.1-2.Vol. X(2007): pp. 73-80
Handle: RePEc:pra:mprapa:4142

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Keywords: bilateral monopoly; lignite price; bargaining; Nash bargaining solution; price negotiation; cooperative game; non-zero sum game; transfer price; split of profit;

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  1. Blair, Roger D & Kaserman, David L, 1987. "A Note on Bilateral Monopoly and Formula Price Contracts," American Economic Review, American Economic Association, vol. 77(3), pages 460-63, June.
  2. Jurdziak, Leszek, 2006. "Negocjacje pomiędzy kopalnią węgla brunatnego a elektrownią jako kooperacyjna, dwuetapowa gra dwuosobowa o sumie niezerowej," MPRA Paper 478, University Library of Munich, Germany, revised 20 Feb 2000.
  3. Jurdziak, Leszek, 2006. "Odkrywkowa kopalnia węgla brunatnego i elektrownia jako bilateralny monopol w ujęciu klasycznym," MPRA Paper 530, University Library of Munich, Germany, revised 20 Oct 2006.
  4. Nash, John, 1950. "The Bargaining Problem," Econometrica, Econometric Society, vol. 18(2), pages 155-162, April.
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Cited by:
  1. Jurdziak, Leszek, 2006. "Lignite price negotiation between opencast mine and power plant as a two-stage, two-person, cooperative, non-zero sum game," MPRA Paper 1600, University Library of Munich, Germany, revised 24 Sep 2006.
  2. Jurdziak, Leszek, 2006. "Schemat arbitrażowy Nasha, a podział zysków w bilateralnym monopolu kopalni węgla brunatnego i elektrowni. Cześć druga – zastosowania w negocjacjach strategicznych i taktycznych
    [Nash barga
    ," MPRA Paper 4163, University Library of Munich, Germany, revised 27 Jan 2006.
  3. Jurdziak, Leszek, 2006. "Lignite price and split of profit negotiation in bilateral monopoly of lignite opencast mine and power plant," MPRA Paper 2466, University Library of Munich, Germany, revised 20 Mar 2007.
  4. Jurdziak, Leszek, 2006. "Influence of structure and ownership of lignite opencast mine and power plant bilateral monopoly on its operation," MPRA Paper 2467, University Library of Munich, Germany, revised 20 Mar 2007.


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