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Interactive Blocking in Arrow-Debreu Economies

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Author Info
Xiong, Siyang
Zheng, Charles Zhoucheng
Abstract

Competitive behaviors such as outbidding one's rivals may be countered by the rivals' threat of mutually destructive objections. In an Arrow-Debreu model of production economies with firms privatized by property rights, we model such hindered competitive behaviors as a coalition's attempt to block a status quo given the threat that the outsiders of the coalition, especially those with whom the coalition shares ownership of firms, may resort to production-ruining secession. We introduce new concepts of the core such that a coalition's blocking plan is feasible only if it is not blocked by the outsiders with such secession. Based on such notions, we prove core equivalence theorems in the replication framework.

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Paper provided by Iowa State University, Department of Economics in its series Staff General Research Papers with number 12882.

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Length: 11 pages
Date of creation: 17 Mar 2008
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Handle: RePEc:isu:genres:12882

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Keywords: core equivalence; core; blocking; coalition; production; firms;

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  1. Anderson, Robert M, 1978. "An Elementary Core Equivalence Theorem," Econometrica, Econometric Society, vol. 46(6), pages 1483-87, November. [Downloadable!] (restricted)
  2. Martin Shubik, 2006. "The Theory of Money and Financial Institutions: A Summary of a Game Theoretic Approach," Levine's Bibliography 321307000000000299, UCLA Department of Economics. [Downloadable!]
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