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Signaling, screening, and core stability

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  • Kamishiro, Yusuke
  • Vohra, Rajiv
  • Serrano, Roberto

Abstract

This paper provides a noncooperative approach to core stability in an economy with incomplete information. We study the perfect Bayesian equilibria of an extensive form mechanism that extends the one used by Serrano and Vohra (1997) to implement the core of a complete-information economy. This leads to a version of the core that we refer to as the sequential core, which allows for information to be transmitted among the agents during the process of coalition formation. Such information flows include proposals that can be viewed as signaling devices and/or screening contracts. Equilibrium refinements are then used to provide justifications for the coarse core and the fine core. As a robustness check, we show that the sequential core corresponds to stationary PBE outcomes of an infinite horizon bargaining game.

Suggested Citation

  • Kamishiro, Yusuke & Vohra, Rajiv & Serrano, Roberto, 2023. "Signaling, screening, and core stability," Journal of Economic Theory, Elsevier, vol. 213(C).
  • Handle: RePEc:eee:jetheo:v:213:y:2023:i:c:s0022053123001114
    DOI: 10.1016/j.jet.2023.105715
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    1. Lee, Darin & Volij, Oscar, 2002. "The core of economies with asymmetric information: an axiomatic approach," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 43-63, September.
    2. Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-1389, November.
    3. Okada, Akira, 2012. "Non-cooperative bargaining and the incomplete informational core," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1165-1190.
    4. Roberto Serrano & Rajiv Vohra, 2005. "Information Transmission in Coalitional Voting Games," Working Papers 2005-01, Brown University, Department of Economics.
    5. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    6. 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.
    7. In-Koo Cho & David M. Kreps, 1987. "Signaling Games and Stable Equilibria," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 102(2), pages 179-221.
    8. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    9. Rajiv Vohra, 1997. "Incomplete Information, Incentive Compatibility and the Core," Working Papers 97-11, Brown University, Department of Economics.
    10. Francoise Forges & Roberto Serrano, 2011. "Cooperative Games with Incomplete Information: Some Open Problems," Working Papers 2011-15, Brown University, Department of Economics.
    11. Grossman, Sanford J. & Perry, Motty, 1986. "Perfect sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 39(1), pages 97-119, June.
    12. Françoise Forges & Roberto Serrano, 2013. "Cooperative Games With Incomplete Information: Some Open Problems," International Game Theory Review (IGTR), World Scientific Publishing Co. Pte. Ltd., vol. 15(02), pages 1-17.
    13. Myerson, Roger B., 2007. "Virtual utility and the core for games with incomplete information," Journal of Economic Theory, Elsevier, vol. 136(1), pages 260-285, September.
    14. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
    15. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    16. 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.
    17. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    18. Bhaskar Dutta & Rajiv Vohra, 2001. "Incomplete Information, Credibility and the Core," Working Papers 2001-02, Brown University, Department of Economics.
    19. Robert Wilson, 2005. "Information, efficiency, and the core of an economy," Studies in Economic Theory, in: Dionysius Glycopantis & Nicholas C. Yannelis (ed.), Differential Information Economies, pages 55-64, Springer.
    20. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
    21. Forges, Francoise & Minelli, Enrico & Vohra, Rajiv, 2002. "Incentives and the core of an exchange economy: a survey," Journal of Mathematical Economics, Elsevier, vol. 38(1-2), pages 1-41, September.
    22. Akira Okada & Eyal Winter, 2002. "A Non-cooperative Axiomatization of the Core," Theory and Decision, Springer, vol. 53(1), pages 1-28, August.
    23. Roberto Serrano & Rajiv Vohra, 1997. "Non-cooperative implementation of the core," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 14(4), pages 513-525.
    24. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    25. repec:dau:papers:123456789/8158 is not listed on IDEAS
    26. Qingmin Liu, 2020. "Stability and Bayesian Consistency in Two-Sided Markets," American Economic Review, American Economic Association, vol. 110(8), pages 2625-2666, August.
    27. Rajiv Vohra & Bhaskar Dutta, 2003. "Incomplete Information, Credibility and the Core," Working Papers 2003-21, Brown University, Department of Economics.
    28. Qingmin Liu & George J. Mailath & Andrew Postlewaite & Larry Samuelson, 2014. "Stable Matching With Incomplete Information," Econometrica, Econometric Society, vol. 82(2), pages 541-587, March.
    29. Dutta, Bhaskar & Vohra, Rajiv, 2005. "Incomplete information, credibility and the core," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 148-165, September.
    Full references (including those not matched with items on IDEAS)

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    More about this item

    Keywords

    Core; Incomplete information; Perfect Bayesian equilibrium; Signaling; Screening; Nash program;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies

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