---
_id: '30940'
abstract:
- lang: eng
  text: "We analyse the two-dimensional Nash bargaining solution (NBS) by deploying\r\nthe
    standard labour market negotiations model of McDonald and Solow (1981).\r\nWe
    show that the two-dimensional bargaining problem can be decomposed into two\r\none-dimensional
    problems, such that the two solutions together replicate the solution\r\nof the
    two-dimensional problem if the NBS is applied.  The axiom of\r\nIndependence of
    Irrelevant Alternatives is shown to be crucial for this type\r\nof decomposability.
    \ This result has significant implications for actual\r\nnegotiations because
    it allows for the decomposition of a multi-dimensional bargaining\r\nproblem into
    one-dimensional problems---and thus helps to facilitate real-world\r\nnegotiations."
article_type: original
author:
- first_name: Claus-Jochen
  full_name: Haake, Claus-Jochen
  id: '20801'
  last_name: Haake
- first_name: Thorsten
  full_name: Upmann, Thorsten
  last_name: Upmann
- first_name: Papatya
  full_name: Duman, Papatya
  id: '72752'
  last_name: Duman
citation:
  ama: 'Haake C-J, Upmann T, Duman P. Wage Bargaining and Employment Revisited: Separability
    and Efficiency in Collective Bargaining. <i>Scandinavian Journal of Economics</i>.
    2022;125(2):403-440. doi:<a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>'
  apa: 'Haake, C.-J., Upmann, T., &#38; Duman, P. (2022). Wage Bargaining and Employment
    Revisited: Separability and Efficiency in Collective Bargaining. <i>Scandinavian
    Journal of Economics</i>, <i>125</i>(2), 403–440. <a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>'
  bibtex: '@article{Haake_Upmann_Duman_2022, title={Wage Bargaining and Employment
    Revisited: Separability and Efficiency in Collective Bargaining}, volume={125},
    DOI={<a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>},
    number={2}, journal={Scandinavian Journal of Economics}, publisher={Wiley}, author={Haake,
    Claus-Jochen and Upmann, Thorsten and Duman, Papatya}, year={2022}, pages={403–440}
    }'
  chicago: 'Haake, Claus-Jochen, Thorsten Upmann, and Papatya Duman. “Wage Bargaining
    and Employment Revisited: Separability and Efficiency in Collective Bargaining.”
    <i>Scandinavian Journal of Economics</i> 125, no. 2 (2022): 403–40. <a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>.'
  ieee: 'C.-J. Haake, T. Upmann, and P. Duman, “Wage Bargaining and Employment Revisited:
    Separability and Efficiency in Collective Bargaining,” <i>Scandinavian Journal
    of Economics</i>, vol. 125, no. 2, pp. 403–440, 2022, doi: <a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>.'
  mla: 'Haake, Claus-Jochen, et al. “Wage Bargaining and Employment Revisited: Separability
    and Efficiency in Collective Bargaining.” <i>Scandinavian Journal of Economics</i>,
    vol. 125, no. 2, Wiley, 2022, pp. 403–40, doi:<a href="https://doi.org/10.1111/sjoe.12518">https://doi.org/10.1111/sjoe.12518</a>.'
  short: C.-J. Haake, T. Upmann, P. Duman, Scandinavian Journal of Economics 125 (2022)
    403–440.
date_created: 2022-04-22T14:10:44Z
date_updated: 2023-06-08T16:42:31Z
ddc:
- '330'
department:
- _id: '205'
- _id: '475'
doi: https://doi.org/10.1111/sjoe.12518
funded_apc: '1'
has_accepted_license: '1'
intvolume: '       125'
issue: '2'
jel:
- J52
- J41
- C78
keyword:
- Labour market negotiations
- efficient bargains
- Nash bargaining solution
- sequential bargaining
- restricted bargaining games
language:
- iso: eng
main_file_link:
- url: https://onlinelibrary.wiley.com/doi/10.1111/sjoe.12518
page: 403-440
project:
- _id: '7'
  grant_number: '160364472'
  name: 'SFB 901 - A3: SFB 901 - Subproject A3'
- _id: '2'
  name: 'SFB 901 - A: SFB 901 - Project Area A'
- _id: '1'
  grant_number: '160364472'
  name: 'SFB 901: SFB 901'
publication: Scandinavian Journal of Economics
publication_identifier:
  eissn:
  - 0347-0520
publication_status: published
publisher: Wiley
quality_controlled: '1'
status: public
title: 'Wage Bargaining and Employment Revisited: Separability and Efficiency in Collective
  Bargaining'
type: journal_article
user_id: '20801'
volume: 125
year: '2022'
...
---
_id: '15202'
abstract:
- lang: eng
  text: In this paper, we analyze the two-dimensional Nash bargaining solution (NBS)
    deploying a standard labor market negotiations model (see McDonald and Solow,
    1981; Creedy and McDonald, 1991). We show that the two-dimensional bargaining
    problem can be decomposed into two one-dimensional problems such that the (Cartesian)
    product of the solutions of these problems replicates the solution of the two-dimensional
    problem, if the NBS is applied. However, this decomposition fails for any solution
    concept that does not satisfy the axiom of Independence of Irrelevant Alternatives
    (IIA axiom). Our decomposition result has significant implications for actual
    negotiations, as it allows for the decomposition of a multi-issue bargaining problem
    into a set of simpler problems, in particular a set of single-issue bargaining
    problems. In this way, the decomposition may help facilitate negotiations in labor
    markets and also in other environments.
author:
- first_name: Claus-Jochen
  full_name: Haake, Claus-Jochen
  id: '20801'
  last_name: Haake
- first_name: Thorsten
  full_name: Upmann, Thorsten
  last_name: Upmann
- first_name: Papatya
  full_name: Duman, Papatya
  id: '72752'
  last_name: Duman
citation:
  ama: Haake C-J, Upmann T, Duman P. <i>The Decomposability of the Nash Bargaining
    Solution in Labor Markets</i>. Vol 128. CIE Working Paper Series, Paderborn University;
    2019.
  apa: Haake, C.-J., Upmann, T., &#38; Duman, P. (2019). <i>The Decomposability of
    the Nash Bargaining Solution in Labor Markets</i> (Vol. 128). CIE Working Paper
    Series, Paderborn University.
  bibtex: '@book{Haake_Upmann_Duman_2019, series={Working Papers CIE}, title={The
    Decomposability of the Nash Bargaining Solution in Labor Markets}, volume={128},
    publisher={CIE Working Paper Series, Paderborn University}, author={Haake, Claus-Jochen
    and Upmann, Thorsten and Duman, Papatya}, year={2019}, collection={Working Papers
    CIE} }'
  chicago: Haake, Claus-Jochen, Thorsten Upmann, and Papatya Duman. <i>The Decomposability
    of the Nash Bargaining Solution in Labor Markets</i>. Vol. 128. Working Papers
    CIE. CIE Working Paper Series, Paderborn University, 2019.
  ieee: C.-J. Haake, T. Upmann, and P. Duman, <i>The Decomposability of the Nash Bargaining
    Solution in Labor Markets</i>, vol. 128. CIE Working Paper Series, Paderborn University,
    2019.
  mla: Haake, Claus-Jochen, et al. <i>The Decomposability of the Nash Bargaining Solution
    in Labor Markets</i>. Vol. 128, CIE Working Paper Series, Paderborn University,
    2019.
  short: C.-J. Haake, T. Upmann, P. Duman, The Decomposability of the Nash Bargaining
    Solution in Labor Markets, CIE Working Paper Series, Paderborn University, 2019.
date_created: 2019-11-28T09:49:08Z
date_updated: 2022-01-06T06:52:16Z
ddc:
- '040'
department:
- _id: '205'
- _id: '475'
file:
- access_level: closed
  content_type: application/pdf
  creator: stela
  date_created: 2019-11-28T09:50:10Z
  date_updated: 2019-11-28T09:50:10Z
  file_id: '15203'
  file_name: WP - The Decomposability of the Nash Bargaining Solution in Labor Markets.pdf
  file_size: 1068284
  relation: main_file
  success: 1
file_date_updated: 2019-11-28T09:50:10Z
has_accepted_license: '1'
intvolume: '       128'
keyword:
- Labor market negotiations
- Efficient bargains
- Nash bargaining solution
- Sequential bargaining
- Restricted bargaining games
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '7'
  name: SFB 901 - Subproject A3
- _id: '2'
  name: SFB 901 - Project Area A
publisher: CIE Working Paper Series, Paderborn University
series_title: Working Papers CIE
status: public
title: The Decomposability of the Nash Bargaining Solution in Labor Markets
type: working_paper
user_id: '477'
volume: 128
year: '2019'
...
---
_id: '15204'
abstract:
- lang: eng
  text: 'We criticize some conceptual weaknesses in the recent literature on coalitional
    TUgames and propose, based on our critics, a new definition of dual TU-games that
    coincides with the one in the literature on the class of super-additive games.
    We justify our new definition in four alternative ways: 1. Via an adequate definition
    of ecient payo vectors. 2. Via a modification of the Bondareva-Shapley duality.
    3. Via an explicit consideration of \coalition building". 4. Via associating general
    TU-games to coalition-production economies. Rather than imputations, we base our
    analysis on a modification of aspirations.'
author:
- first_name: Fatma
  full_name: Aslan, Fatma
  last_name: Aslan
- first_name: Papatya
  full_name: Duman, Papatya
  last_name: Duman
- first_name: Walter
  full_name: Trockel, Walter
  last_name: Trockel
citation:
  ama: Aslan F, Duman P, Trockel W. <i>Duality for General TU-Games Redefined</i>.
    Vol 121. CIE Working Paper Series, Paderborn University; 2019.
  apa: Aslan, F., Duman, P., &#38; Trockel, W. (2019). <i>Duality for General TU-games
    Redefined</i> (Vol. 121). CIE Working Paper Series, Paderborn University.
  bibtex: '@book{Aslan_Duman_Trockel_2019, series={Working Papers CIE}, title={Duality
    for General TU-games Redefined}, volume={121}, publisher={CIE Working Paper Series,
    Paderborn University}, author={Aslan, Fatma and Duman, Papatya and Trockel, Walter},
    year={2019}, collection={Working Papers CIE} }'
  chicago: Aslan, Fatma, Papatya Duman, and Walter Trockel. <i>Duality for General
    TU-Games Redefined</i>. Vol. 121. Working Papers CIE. CIE Working Paper Series,
    Paderborn University, 2019.
  ieee: F. Aslan, P. Duman, and W. Trockel, <i>Duality for General TU-games Redefined</i>,
    vol. 121. CIE Working Paper Series, Paderborn University, 2019.
  mla: Aslan, Fatma, et al. <i>Duality for General TU-Games Redefined</i>. Vol. 121,
    CIE Working Paper Series, Paderborn University, 2019.
  short: F. Aslan, P. Duman, W. Trockel, Duality for General TU-Games Redefined, CIE
    Working Paper Series, Paderborn University, 2019.
date_created: 2019-11-28T10:00:41Z
date_updated: 2022-01-06T06:52:17Z
ddc:
- '040'
department:
- _id: '205'
- _id: '475'
file:
- access_level: closed
  content_type: application/pdf
  creator: stela
  date_created: 2019-11-28T10:01:40Z
  date_updated: 2019-11-28T10:01:40Z
  file_id: '15205'
  file_name: WP - Duality for General TU-games Redefined.pdf
  file_size: 369323
  relation: main_file
  success: 1
file_date_updated: 2019-11-28T10:01:40Z
has_accepted_license: '1'
intvolume: '       121'
keyword:
- TU-games
- duality
- core
- c-Core
- cohesive games
- complete game efficiency
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '7'
  name: SFB 901 - Subproject A3
publisher: CIE Working Paper Series, Paderborn University
series_title: Working Papers CIE
status: public
title: Duality for General TU-games Redefined
type: working_paper
user_id: '65453'
volume: 121
year: '2019'
...
---
_id: '2565'
abstract:
- lang: eng
  text: This note deals with agreeability in nontransferable utility (NTU) differential
    games. We introduce state feedback Pareto weights to enrich the set of efficient
    cooperative solutions. The framework is particularly useful if constant weights
    fail to support agreeability, but cooperation is desired nonetheless. The concept
    is applied to an adverting differential game.
author:
- first_name: Simon
  full_name: Hoof, Simon
  id: '59676'
  last_name: Hoof
citation:
  ama: Hoof S. <i>Feedback Pareto Weights in Cooperative NTU Differential Games</i>.
    Vol 112. CIE Working Paper Series, Paderborn University; 2018.
  apa: Hoof, S. (2018). <i>Feedback Pareto weights in cooperative NTU differential
    games</i> (Vol. 112). CIE Working Paper Series, Paderborn University.
  bibtex: '@book{Hoof_2018, series={Working Papers CIE}, title={Feedback Pareto weights
    in cooperative NTU differential games}, volume={112}, publisher={CIE Working Paper
    Series, Paderborn University}, author={Hoof, Simon}, year={2018}, collection={Working
    Papers CIE} }'
  chicago: Hoof, Simon. <i>Feedback Pareto Weights in Cooperative NTU Differential
    Games</i>. Vol. 112. Working Papers CIE. CIE Working Paper Series, Paderborn University,
    2018.
  ieee: S. Hoof, <i>Feedback Pareto weights in cooperative NTU differential games</i>,
    vol. 112. CIE Working Paper Series, Paderborn University, 2018.
  mla: Hoof, Simon. <i>Feedback Pareto Weights in Cooperative NTU Differential Games</i>.
    Vol. 112, CIE Working Paper Series, Paderborn University, 2018.
  short: S. Hoof, Feedback Pareto Weights in Cooperative NTU Differential Games, CIE
    Working Paper Series, Paderborn University, 2018.
date_created: 2018-05-03T07:50:57Z
date_updated: 2022-01-06T06:57:09Z
ddc:
- '040'
department:
- _id: '205'
- _id: '475'
file:
- access_level: closed
  content_type: application/pdf
  creator: stela
  date_created: 2018-09-13T07:29:48Z
  date_updated: 2018-09-13T07:29:48Z
  file_id: '4382'
  file_name: WP - Feedback Pareto weights in cooperative NTU differential games.pdf
  file_size: 263766
  relation: main_file
  success: 1
file_date_updated: 2018-09-13T07:29:48Z
has_accepted_license: '1'
intvolume: '       112'
keyword:
- NTU differential games
- variable Pareto weights
- agreeability
language:
- iso: eng
project:
- _id: '1'
  name: SFB 901
- _id: '2'
  name: SFB 901 - Project Area A
- _id: '7'
  name: SFB 901 - Subproject A3
publisher: CIE Working Paper Series, Paderborn University
series_title: Working Papers CIE
status: public
title: Feedback Pareto weights in cooperative NTU differential games
type: working_paper
user_id: '65453'
volume: 112
year: '2018'
...
---
_id: '17659'
author:
- first_name: Gleb
  full_name: Polevoy, Gleb
  id: '83983'
  last_name: Polevoy
- first_name: Stojan
  full_name: Trajanovski, Stojan
  last_name: Trajanovski
- first_name: Mathijs M.
  full_name: de Weerdt, Mathijs M.
  last_name: de Weerdt
citation:
  ama: 'Polevoy G, Trajanovski S, de Weerdt MM. Nash Equilibria in Shared Effort Games.
    In: <i>Proceedings of the 2014 International Conference on Autonomous Agents and
    Multi-Agent Systems</i>. AAMAS ’14. Richland, SC: International Foundation for
    Autonomous Agents and Multiagent Systems; 2014:861-868.'
  apa: 'Polevoy, G., Trajanovski, S., &#38; de Weerdt, M. M. (2014). Nash Equilibria
    in Shared Effort Games. In <i>Proceedings of the 2014 International Conference
    on Autonomous Agents and Multi-agent Systems</i> (pp. 861–868). Richland, SC:
    International Foundation for Autonomous Agents and Multiagent Systems.'
  bibtex: '@inproceedings{Polevoy_Trajanovski_de Weerdt_2014, place={Richland, SC},
    series={AAMAS ’14}, title={Nash Equilibria in Shared Effort Games}, booktitle={Proceedings
    of the 2014 International Conference on Autonomous Agents and Multi-agent Systems},
    publisher={International Foundation for Autonomous Agents and Multiagent Systems},
    author={Polevoy, Gleb and Trajanovski, Stojan and de Weerdt, Mathijs M.}, year={2014},
    pages={861–868}, collection={AAMAS ’14} }'
  chicago: 'Polevoy, Gleb, Stojan Trajanovski, and Mathijs M. de Weerdt. “Nash Equilibria
    in Shared Effort Games.” In <i>Proceedings of the 2014 International Conference
    on Autonomous Agents and Multi-Agent Systems</i>, 861–68. AAMAS ’14. Richland,
    SC: International Foundation for Autonomous Agents and Multiagent Systems, 2014.'
  ieee: G. Polevoy, S. Trajanovski, and M. M. de Weerdt, “Nash Equilibria in Shared
    Effort Games,” in <i>Proceedings of the 2014 International Conference on Autonomous
    Agents and Multi-agent Systems</i>, 2014, pp. 861–868.
  mla: Polevoy, Gleb, et al. “Nash Equilibria in Shared Effort Games.” <i>Proceedings
    of the 2014 International Conference on Autonomous Agents and Multi-Agent Systems</i>,
    International Foundation for Autonomous Agents and Multiagent Systems, 2014, pp.
    861–68.
  short: 'G. Polevoy, S. Trajanovski, M.M. de Weerdt, in: Proceedings of the 2014
    International Conference on Autonomous Agents and Multi-Agent Systems, International
    Foundation for Autonomous Agents and Multiagent Systems, Richland, SC, 2014, pp.
    861–868.'
date_created: 2020-08-06T15:21:26Z
date_updated: 2022-01-06T06:53:16Z
department:
- _id: '63'
- _id: '541'
extern: '1'
keyword:
- competition
- equilibrium
- market
- models
- shared effort games
- simulation
language:
- iso: eng
page: 861-868
place: Richland, SC
publication: Proceedings of the 2014 International Conference on Autonomous Agents
  and Multi-agent Systems
publication_identifier:
  isbn:
  - 978-1-4503-2738-1
publisher: International Foundation for Autonomous Agents and Multiagent Systems
series_title: AAMAS '14
status: public
title: Nash Equilibria in Shared Effort Games
type: conference
user_id: '83983'
year: '2014'
...