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Non-cooperative Bargaining and the Incomplete Information Core

  • Okada, Akira

We consider information transmission in the core of an exchange economy with incomplete information by non-cooperative bargaining theory. Reformulating the coalitional voting game by Serrano and Vohra [Information transmission in coalitional voting games, J. of Economic Theory (2007), 117-137] so that an informed agent proposes an allocation, we define a notion of the informational core. A coalition has an informational objection to the status-quo allocation if and only if there exists an equilibrium rejection in the coalitional voting game. We present a non-cooperative sequential bargaining game in which coalitional voting games are repeated, and prove that a refinement of a sequential equilibrium of the bargaining game necessarily yields an allocation in the informational core.

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File URL: http://hermes-ir.lib.hit-u.ac.jp/rs/bitstream/10086/17855/3/070econDP09-16.pdf
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Paper provided by Graduate School of Economics, Hitotsubashi University in its series Discussion Papers with number 2009-16.

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Length: 37 p.
Date of creation: Dec 2009
Date of revision:
Handle: RePEc:hit:econdp:2009-16
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Web page: http://www.econ.hit-u.ac.jp/

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  1. Perez-Castrillo J. David, 1994. "Cooperative Outcomes through Noncooperative Games," Games and Economic Behavior, Elsevier, vol. 7(3), pages 428-440, November.
  2. Volij, Oscar & Lee, Darin, 2000. "The Core of Economies with Asymmetric Information: An Axiomatic Approach," Staff General Research Papers 5193, Iowa State University, Department of Economics.
  3. Moldovanu, Benny & Eyal Winter, 1993. "Core Implementation and Increasing Returns to Scale for Cooperation," Discussion Paper Serie B 289, University of Bonn, Germany.
  4. Oscar Volij, 1997. "Communication, Credible Improvements and the Core of an Economy with Asymmetric Information," Game Theory and Information 9711001, EconWPA.
  5. Rajiv Vohra & Roberto Serrano, 2004. "Information Transmission in Coalitional Voting Games," Econometric Society 2004 North American Summer Meetings 519, Econometric Society.
  6. Wilson, Robert B, 1978. "Information, Efficiency, and the Core of an Economy," Econometrica, Econometric Society, vol. 46(4), pages 807-16, July.
  7. Francoise Forges & Enrico Minelli & Rajiv Vohra, 2000. "Incentives and the Core of an Exchange Economy: A Survey," Working Papers 2000-22, Brown University, Department of Economics.
  8. Rajiv Vohra, 1997. "Incomplete Information, Incentive Compatibility and the Core," Working Papers 97-11, Brown University, Department of Economics.
  9. Lee, Darin, 1998. "A note on the individualistic foundations of the core in economies with asymmetric information," Economics Letters, Elsevier, vol. 61(2), pages 203-208, November.
  10. In-Koo Cho & David M. Kreps, 1997. "Signaling Games and Stable Equilibria," Levine's Working Paper Archive 896, David K. Levine.
  11. de Clippel, Geoffroy, 2007. "The type-agent core for exchange economies with asymmetric information," Journal of Economic Theory, Elsevier, vol. 135(1), pages 144-158, July.
  12. Chatterjee, Kalyan & Bhaskar Dutta & Debraj Ray & Kunal Sengupta, 1993. "A Noncooperative Theory of Coalitional Bargaining," Review of Economic Studies, Wiley Blackwell, vol. 60(2), pages 463-77, April.
  13. Myerson, Roger B, 1983. "Mechanism Design by an Informed Principal," Econometrica, Econometric Society, vol. 51(6), pages 1767-97, November.
  14. 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.
  15. Shapley, Lloyd S. & Shubik, Martin, 1969. "On market games," Journal of Economic Theory, Elsevier, vol. 1(1), pages 9-25, June.
  16. Dutta, Bhaskar & Vohra, Rajiv, 2005. "Incomplete information, credibility and the core," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 148-165, September.
  17. Yannelis, Nicholas C, 1991. "The Core of an Economy with Differential Information," Economic Theory, Springer, vol. 1(2), pages 183-97, April.
  18. Evans, Robert, 1997. "Coalitional Bargaining with Competition to Make Offers," Games and Economic Behavior, Elsevier, vol. 19(2), pages 211-220, May.
  19. Allen, Beth, 1993. "4. Market Games with Asymmetric Information : Verification and the Publicly Predictable Information Core," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 34(Special I), pages 101-122, December.
  20. Serrano Roberto, 1995. "A Market to Implement the Core," Journal of Economic Theory, Elsevier, vol. 67(1), pages 285-294, October.
  21. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer, vol. 14(4), pages 513-525.
  22. Kreps, David M & Wilson, Robert, 1982. "Sequential Equilibria," Econometrica, Econometric Society, vol. 50(4), pages 863-94, July.
  23. Ichiishi, Tatsuro & Yamazaki, Akira, 2004. "Interim core concepts for a bayesian pure exchange economy," Journal of Mathematical Economics, Elsevier, vol. 40(3-4), pages 347-370, June.
  24. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
  25. Milan Horniaček, 2008. "Negotiation, preferences over agreements, and the core," International Journal of Game Theory, Springer, vol. 37(2), pages 235-249, June.
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