Indivisible Commodities and an Equivalence Theorem on the Strong Core

نویسندگان

  • Tomoki Inoue
  • Chiaki Hara
  • P. Jean-Jacques Herings
  • Takuya Iimura
  • Atsushi Kajii
  • Kazuya Kamiya
  • Tomoyuki Kamo
  • Takeshi Momi
  • Kazuo Murota
  • Shinsuke Nakamura
  • Cheng-Zhong Qin
  • John K.-H. Quah
  • Shin-ichi Suda
چکیده

We consider a pure exchange economy with finitely many indivisible commodities that are available only in integer quantities. We prove that in such an economy with a sufficiently large number of agents, but finitely many agents, the strong core coincides with the set of cost-minimized Walras allocations. Because of the indivisibility, the preference maximization does not imply the cost minimization. A cost-minimized Walras equilibrium is a state where, under some price vector, all agents satisfy both the preference maximization and the cost minimization.

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تاریخ انتشار 2009