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Games in sequencing situations with externalities

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  • Yang, Guangjing
  • Sun, Hao
  • Hou, Dongshuang
  • Xu, Genjiu

Abstract

In this paper, we consider cooperative games in sequencing situations with externalities, called partition sequencing games, in which the worth of a coalition can be influenced by external players in the queue. We first show that partition sequencing games satisfy cohesiveness and have non-positive externalities. Then by proposing partition rules, which are specifications on how external players should partition themselves, we study the relationships between the allocation given by the Equal Gain Splitting rule (EGS rule) and the cores based on different partition rules. It is shown that the EGS rule always yields a core element no matter which partition rule is applied to the game. Moreover, we propose a mechanism which implements the EGS rule for partition sequencing games.

Suggested Citation

  • Yang, Guangjing & Sun, Hao & Hou, Dongshuang & Xu, Genjiu, 2019. "Games in sequencing situations with externalities," European Journal of Operational Research, Elsevier, vol. 278(2), pages 699-708.
    • Handle: RePEc:eee:ejores:v:278:y:2019:i:2:p:699-708
    DOI: 10.1016/j.ejor.2019.04.046
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    8. Saavedra–Nieves, Alejandro & Casas–Méndez, Balbina, 2023. "On the centrality analysis of covert networks using games with externalities," European Journal of Operational Research, Elsevier, vol. 309(3), pages 1365-1378.
    9. Schouten, Jop & Saavedra-Nieves, Alejandro & Fiestras-Janeiro, G., 2020. "Sequencing Situations and Games with Non-Linear Cost Functions," Other publications TiSEM 3e1db5c9-0f77-4f91-a075-c, Tilburg University, School of Economics and Management.
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