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Every member of the core is as respectful as any other

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  • Yasemin Dede

    (Bilkent University)

  • Semih Koray

    (Bilkent University)

Abstract

We strategically separate different core outcomes. The natural counterparts of a core allocation in a strategic environment are the α-core, the β-core and the strong equilibrium, modified by assuming that utility is transferable in a strategic context as well. Given a core allocation ω of a convex transferable utility (TU) game $$v$$ v , we associate a strategic coalition formation game with $$ \left( {v, \omega } \right) $$ v , ω in which ω survives, while most other core allocations are eliminated. If the TU game is strictly convex, the core allocations respected by the TU-α-core, the TU-β-core and the TU-strong equilibrium shrink to ω only in the canonical family of coalition formation games associated with $$ \left( {v, \omega } \right) $$ v , ω . A mechanism, which strategically separates core outcomes from noncore outcomes for each convex TU game according to the TU-strong equilibrium notion is reported.

Suggested Citation

  • Yasemin Dede & Semih Koray, 2018. "Every member of the core is as respectful as any other," Review of Economic Design, Springer;Society for Economic Design, vol. 22(1), pages 55-65, June.
    • Handle: RePEc:spr:reecde:v:22:y:2018:i:1:d:10.1007_s10058-018-0211-6
    DOI: 10.1007/s10058-018-0211-6
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    References listed on IDEAS

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    1. Perry, Motty & Reny, Philip J, 1994. "A Noncooperative View of Coalition Formation and the Core," Econometrica, Econometric Society, vol. 62(4), pages 795-817, July.
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    5. Kalai, Ehud & Postlewaite, Andrew & Roberts, John, 1979. "A group incentive compatible mechanism yielding core allocations," Journal of Economic Theory, Elsevier, vol. 20(1), pages 13-22, February.
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