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Anonymous sequential games with aggregate uncertainty

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  • Bergin, James
  • Bernhardt, Dan

Abstract

This paper extends the results of Jovanovic and Rosenthal (1988) on the existence of equilibrium in anonymous sequential games. They prove existence in the case where the aggregate distribution of agents' characteristics evolves nonstochastically -- the case of "no aggregate uncertainty". We show how aggregate uncertainty can be introduced to the model and extend the Jovanovic-Rosenthal existence theorem to this case.
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Suggested Citation

  • Bergin, James & Bernhardt, Dan, 1992. "Anonymous sequential games with aggregate uncertainty," Journal of Mathematical Economics, Elsevier, vol. 21(6), pages 543-562.
    • Handle: RePEc:eee:mateco:v:21:y:1992:i:6:p:543-562
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    Cited by:

    1. Flavio Toxvaerd & Chryssi Giannitsarou, 2004. "Recursive global games," Money Macro and Finance (MMF) Research Group Conference 2003 104, Money Macro and Finance Research Group.
    2. John Duggan, 2011. "Noisy Stochastic Games," RCER Working Papers 562, University of Rochester - Center for Economic Research (RCER).
    3. Bernhardt, Dan & Liu, Qihong & Serfes, Konstantinos, 2007. "Product customization," European Economic Review, Elsevier, vol. 51(6), pages 1396-1422, August.
    4. Morand, Olivier F. & Reffett, Kevin L., 2003. "Existence and uniqueness of equilibrium in nonoptimal unbounded infinite horizon economies," Journal of Monetary Economics, Elsevier, vol. 50(6), pages 1351-1373, September.
    5. Datta, Manjira & Mirman, Leonard J. & Morand, Olivier F. & Reffett, Kevin L., 2005. "Markovian equilibrium in infinite horizon economies with incomplete markets and public policy," Journal of Mathematical Economics, Elsevier, vol. 41(4-5), pages 505-544, August.
    6. Khan, M. Ali & Rath, Kali P. & Sun, Yeneng, 1997. "On the Existence of Pure Strategy Equilibria in Games with a Continuum of Players," Journal of Economic Theory, Elsevier, vol. 76(1), pages 13-46, September.
    7. Chakrabarti, Subir K., 2003. "Pure strategy Markov equilibrium in stochastic games with a continuum of players," Journal of Mathematical Economics, Elsevier, vol. 39(7), pages 693-724, September.
    8. AMIR, Rabah, 2001. "Stochastic games in economics and related fields: an overview," CORE Discussion Papers 2001060, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
    9. Pietro Tebaldi & Matthew Jackson, 2014. "A Forest Fire Theory of Recessions and Unemployment," 2014 Meeting Papers 120, Society for Economic Dynamics.
    10. Molzon, Robert & Puzzello, Daniela, 2010. "On the observational equivalence of random matching," Journal of Economic Theory, Elsevier, vol. 145(3), pages 1283-1301, May.
    11. Miao, Jianjun, 2006. "Competitive equilibria of economies with a continuum of consumers and aggregate shocks," Journal of Economic Theory, Elsevier, vol. 128(1), pages 274-298, May.
    12. Peters, Michael, 2000. "Limits of Exact Equilibria for Capacity Constrained Sellers with Costly Search," Journal of Economic Theory, Elsevier, vol. 95(2), pages 139-168, December.
    13. Duggan, John & Kalandrakis, Tasos, 2012. "Dynamic legislative policy making," Journal of Economic Theory, Elsevier, vol. 147(5), pages 1653-1688.
    14. Anderson Schneider & Facundo Piguillem, 2009. "Heterogeneous Beliefs and Optimal Taxation," 2009 Meeting Papers 826, Society for Economic Dynamics.
    15. John Duggan, 2012. "Noisy Stochastic Games," RCER Working Papers 570, University of Rochester - Center for Economic Research (RCER).
    16. Tsitsiklis, John N. & Xu, Yunjian, 2015. "Pricing of fluctuations in electricity markets," European Journal of Operational Research, Elsevier, vol. 246(1), pages 199-208.
    17. James Bergin & Dan Bernhardt, 2008. "Industry dynamics with stochastic demand," RAND Journal of Economics, RAND Corporation, vol. 39(1), pages 41-68.
    18. Kevin Reffett & Olivier Morand, "undated". "Existence and Uniqueness of Equilibrium in Nonoptimal Unbounded Infinite Horizon Economies with Capital," Working Papers 2133378, Department of Economics, W. P. Carey School of Business, Arizona State University.
    19. repec:spr:dyngam:v:7:y:2017:i:3:d:10.1007_s13235-016-0194-2 is not listed on IDEAS
    20. Khan, Mohammed Ali & Rath, Kali P. & Yu, Haomiao & Zhang, Yongchao, 2017. "On the equivalence of large individualized and distributionalized games," Theoretical Economics, Econometric Society, vol. 12(2), May.

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