Learning in Infinite Horizon Strategic Market Games with Collateral and Incomplete Information
We study a strategic market game with finitely many traders, infinite horizon and real assets. To this standard framework (see, e.g. Giraud and Weyers, 2004) we add two key ingredients: First, default is allowed at equilibrium by means of some collateral requirement for financial assets; second, information among players about the structure of uncertainty is incomplete. We focus on learning equilibria, at the end of which no player has incorrect beliefs - not because those players with heterogeneous beliefs were eliminated from the market (although default is possible at equilibrium) but because they have taken time to update their prior belief. We then prove a partial Folk theorem a la Wiseman (2011) of the following form: For any function that maps each state of the world to a sequence of feasible and sequentially strictly individually rational allocations, and for any degree of precision, there is a perfect Bayesian equilibrium in which patient players learn the realized state with this degree of precision and achieve a payoff close to the one specified for each state.
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- Páscoa, Mario Rui & Araújo, Aloísio Pessoa de & Torres-Martínez, Juan Pablo, 2001.
"Collateral avoids Ponzi schemes in incomplete markets,"
Economics Working Papers (Ensaios Economicos da EPGE)
419, FGV/EPGE Escola Brasileira de Economia e Finanças, Getulio Vargas Foundation (Brazil).
- Aloisio Araujo & Mário Rui Páscoa & Juan Pablo Torres-Martínez, 2002. "Collateral Avoids Ponzi Schemes in Incomplete Markets," Econometrica, Econometric Society, vol. 70(4), pages 1613-1638, July.
- Richard J. Arnott & Joseph E. Stiglitz, 1983.
"Moral Hazard and Optimal Commodity Taxation,"
NBER Working Papers
1154, National Bureau of Economic Research, Inc.
- Dan Cao, 2011.
"Collateral Shortages, Asset Price and Investment Volatility with Heterogeneous Beliefs,"
gueconwpa~11-11-01, Georgetown University, Department of Economics.
- Dan Vu Cao, 2010. "Collateral Shortages, Asset Price And Investment Volatility With Heterogeneous Beliefs," 2010 Meeting Papers 1233, Society for Economic Dynamics.
- Duffie, Darrell & Shafer, Wayne, 1985. "Equilibrium in incomplete markets: I : A basic model of generic existence," Journal of Mathematical Economics, Elsevier, vol. 14(3), pages 285-300, June.
- Prescott, Edward C & Townsend, Robert M, 1984.
"Pareto Optima and Competitive Equilibria with Adverse Selection and Moral Hazard,"
Econometric Society, vol. 52(1), pages 21-45, January.
- Edward C Prescott & Robert M Townsend, 2010. "Pareto Optima and Competitive Equilibria With Adverse Selection and Moral Hazard," Levine's Working Paper Archive 2069, David K. Levine.
- Radner, Roy, 1979. "Rational Expectations Equilibrium: Generic Existence and the Information Revealed by Prices," Econometrica, Econometric Society, vol. 47(3), pages 655-78, May.
- Rothschild, Michael, 1974. "A two-armed bandit theory of market pricing," Journal of Economic Theory, Elsevier, vol. 9(2), pages 185-202, October.
- Monique Florenzano & Pascal Gourdel, 1996.
"Incomplete Markets In Infinite Horizon: Debt Constraints Versus Node Prices,"
Wiley Blackwell, vol. 6(2), pages 167-196.
- Florenzano, Monique & Gourdel, Pascal, 1993. "Incomplete markets in infinite horizon : debt constraints versus node prices," CEPREMAP Working Papers (Couverture Orange) 9329, CEPREMAP.
- Florenzano, M. & Gourdel, P., 1994. "Incomplete Markets in Infinite Horizon: Debt Constraints Versus Node Prices," Papiers d'Economie MathÃ©matique et Applications 94.76, UniversitÃ© PanthÃ©on-Sorbonne (Paris 1).
- Gourdel, Pascual & Florenzano, Monique, 1995. "Incomplete markets in infinite horizon: debt constraints versus node prices," UC3M Working papers. Economics 3904, Universidad Carlos III de Madrid. Departamento de Economía.
- Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-968, October.
- Dubey, Pradeep & Geanakoplos, John, 2003.
"Monetary equilibrium with missing markets,"
Journal of Mathematical Economics,
Elsevier, vol. 39(5-6), pages 585-618, July.
- Rahi Rohit, 1995. "Optimal Incomplete Markets with Asymmetric Information," Journal of Economic Theory, Elsevier, vol. 65(1), pages 171-197, February.
- Edward C Prescott & Robert M Townsend, 1997.
"General Competitive Analysis in an Economy with Private Information,"
Levine's Working Paper Archive
1578, David K. Levine.
- Prescott, Edward C & Townsend, Robert M, 1984. "General Competitive Analysis in an Economy with Private Information," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 25(1), pages 1-20, February.
- O'Connell, Stephen A & Zeldes, Stephen P, 1988.
"Rational Ponzi Games,"
International Economic Review,
Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 29(3), pages 431-50, August.
- Stephen A. O'Connell & Stephen P. Zeldes, . "Rational Ponzi Games," Rodney L. White Center for Financial Research Working Papers 18-86, Wharton School Rodney L. White Center for Financial Research.
- Heifetz, Aviad, 2006. "The positive foundation of the common prior assumption," Games and Economic Behavior, Elsevier, vol. 56(1), pages 105-120, July.
- Wiseman, Thomas, 2012.
"A partial folk theorem for games with private learning,"
Econometric Society, vol. 7(2), May.
- Thomas E. Wiseman, 2011. "A Partial Folk Theorem for Games with Private Learning," 2011 Meeting Papers 181, Society for Economic Dynamics.
- Peck, James & Shell, Karl & Spear, Stephen E., 1992. "The market game: existence and structure of equilibrium," Journal of Mathematical Economics, Elsevier, vol. 21(3), pages 271-299.
- Magill, Michael & Shafer, Wayne, 1991. "Incomplete markets," Handbook of Mathematical Economics, in: W. Hildenbrand & H. Sonnenschein (ed.), Handbook of Mathematical Economics, edition 1, volume 4, chapter 30, pages 1523-1614 Elsevier.
- Thomas Wiseman, 2005. "A Partial Folk Theorem for Games with Unknown Payoff Distributions," Econometrica, Econometric Society, vol. 73(2), pages 629-645, 03.
- Amir, Rabah & Sahi, Siddharta & Shubik, Martin & Yao, Shuntian, 1990.
"A strategic market game with complete markets,"
Journal of Economic Theory,
Elsevier, vol. 51(1), pages 126-143, June.
- Gaël Giraud & Sonia Weyers, 2004. "Strategic market games with a finite horizon and incomplete markets," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 23(3), pages 467-491, March.
- Giraud, Gael, 2003. "Strategic market games: an introduction," Journal of Mathematical Economics, Elsevier, vol. 39(5-6), pages 355-375, July.
- Harker, Patrick T., 1991. "Generalized Nash games and quasi-variational inequalities," European Journal of Operational Research, Elsevier, vol. 54(1), pages 81-94, September.
- Weyers, Sonia, 2004. "Convergence to competitive equilibria and elimination of no-trade (in a strategic market game with limit prices)," Journal of Mathematical Economics, Elsevier, vol. 40(8), pages 903-922, December.
- Michael Spence, 1973. "Job Market Signaling," The Quarterly Journal of Economics, Oxford University Press, vol. 87(3), pages 355-374.
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