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Signaling, screening, and core stability

Author

Listed:
  • 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. Forges Francoise, 1994. "Posterior Efficiency," Games and Economic Behavior, Elsevier, vol. 6(2), pages 238-261, March.
    2. 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.
    3. 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.
    4. de Clippel, Geoffroy & Minelli, Enrico, 2004. "Two-person bargaining with verifiable information," Journal of Mathematical Economics, Elsevier, vol. 40(7), pages 799-813, November.
    5. repec:dau:papers:123456789/169 is not listed on IDEAS
    6. Grossman, Sanford J. & Perry, Motty, 1986. "Perfect sequential equilibrium," Journal of Economic Theory, Elsevier, vol. 39(1), pages 97-119, June.
    7. Qingmin Liu, 2020. "Stability and Bayesian Consistency in Two-Sided Markets," American Economic Review, American Economic Association, vol. 110(8), pages 2625-2666, August.
    8. Kalyan Chatterjee & Bhaskar Dutia & Debraj Ray & Kunal Sengupta, 2013. "A Noncooperative Theory of Coalitional Bargaining," World Scientific Book Chapters, in: Bargaining in the Shadow of the Market Selected Papers on Bilateral and Multilateral Bargaining, chapter 5, pages 97-111, World Scientific Publishing Co. Pte. Ltd..
    9. Cho, In-Koo, 1987. "A Refinement of Sequential Equilibrium," Econometrica, Econometric Society, vol. 55(6), pages 1367-1389, November.
    10. Serrano, Roberto & Vohra, Rajiv, 2007. "Information transmission in coalitional voting games," Journal of Economic Theory, Elsevier, vol. 134(1), pages 117-137, May.
    11. 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.
    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. Dutta, Bhaskar & Vohra, Rajiv, 2005. "Incomplete information, credibility and the core," Mathematical Social Sciences, Elsevier, vol. 50(2), pages 148-165, September.
    14. Holmstrom, Bengt & Myerson, Roger B, 1983. "Efficient and Durable Decision Rules with Incomplete Information," Econometrica, Econometric Society, vol. 51(6), pages 1799-1819, November.
    15. 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.
    16. Marcelo Ariel Fernandez & Kirill Rudov & Leeat Yariv, 2022. "Centralized Matching with Incomplete Information," American Economic Review: Insights, American Economic Association, vol. 4(1), pages 18-33, March.
    17. Roberto Serrano, 2021. "Sixty-seven years of the Nash program: time for retirement?," SERIEs: Journal of the Spanish Economic Association, Springer;Spanish Economic Association, vol. 12(1), pages 35-48, March.
    18. 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.
    19. Okada, Akira, 2021. "Stable matching and protocol-free equilibrium," Games and Economic Behavior, Elsevier, vol. 128(C), pages 193-201.
    20. 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.
    21. Okada, Akira, 2012. "Non-cooperative bargaining and the incomplete informational core," Journal of Economic Theory, Elsevier, vol. 147(3), pages 1165-1190.
    22. Serrano, Roberto, 1997. "Reinterpreting the Kernel," Journal of Economic Theory, Elsevier, vol. 77(1), pages 58-80, November.
    23. 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.
    24. Akira Okada & Eyal Winter, 2002. "A Non-cooperative Axiomatization of the Core," Theory and Decision, Springer, vol. 53(1), pages 1-28, August.
    25. 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.
    26. Vohra, Rajiv, 1999. "Incomplete Information, Incentive Compatibility, and the Core," Journal of Economic Theory, Elsevier, vol. 86(1), pages 123-147, May.
    27. Hart, Sergiu & Mas-Colell, Andreu, 1996. "Bargaining and Value," Econometrica, Econometric Society, vol. 64(2), pages 357-380, March.
    28. 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.
    29. Pomatto, Luciano, 2022. "Stable matching under forward-induction reasoning," Theoretical Economics, Econometric Society, vol. 17(4), November.
    30. Yusuke Kamishiro & Roberto Serrano, 2011. "Equilibrium Blocking in Large Quasilinear Economies," Mathematics of Operations Research, INFORMS, vol. 36(3), pages 552-567, August.
    31. Gale, Douglas, 1978. "The core of a monetary economy without trust," Journal of Economic Theory, Elsevier, vol. 19(2), pages 456-491, December.
    32. repec:dau:papers:123456789/8158 is not listed on IDEAS
    33. Moldovanu Benny & Winter Eyal, 1995. "Order Independent Equilibria," Games and Economic Behavior, Elsevier, vol. 9(1), pages 21-34, April.
    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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