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Welcome to Rabee Tourky's webpage at UQ


Rabee Tourky
School of Economics
The University of Queensland
Level 6, Colin Clark Building (39)
St Lucia
Brisbane Qld 4072
Australia

cupid.economics.uq.edu.au/rabee/
rabeetourky@gmail.com

I am a professor of economics at the University of Queensland where I teach microeconomics. I research mainly in the area of economic theory.

I am presently working with Simon Grant and Idione Meneghel on our notion of Savage Games, which are ordinal games set in L. J. Savages framework of purely subjective uncertainty. Every Bayesian game is ordinally equivalent to a Savage game. This requires some contributions to the fixed point theory of decomposable sets in non-linear analysis, leading to a number of joint projects including an exciting novel fixed point theorem established with Idione Meneghel. The work is influenced by the third Chapter of Idione's PhD thesis at Rochester, where "monotone" purification techniques are introduced for Bayesian games that have no natural notion of monotonicity.

In general equilibrium theory I am working on introducing new concepts and techniques for understanding perfectly competitive economies. The focus is on describing how prices deal with information when there are many more consumers and producers than markets. In particular, studying the almost universality of information efficiency of market. In thick markets, prices reveal all relevant information in a remarkably prevalent way. The work goes some way to giving a coherent understanding of financial crises and the role of government.

I have been working in various areas of game theory. In the area of computational game theory Andy McLennan and I introduced the useful notion of imitation games and a new method for approximating fixed points of mappings using these imitation games. I'm presently working on a class of finite games that has pure strategy equilibria and on various games with discontinuous payoffs.

I am very excited about my project on financial securitisation in the presence of moral hazard with Rohan Pitchford.

For many years I worked on understanding general market equilibrium theory when there are infinitely many commodities. This lead to a significant expertise in (and some contributions to) the mathematics underpinning this theory, which is an area of functional analysis best described as ordered topological vector spaces. Much of my work in this area was coauthored with the late Roko Aliprantis with whom I wrote the book Cones and Duality.


Ongoing research

[Savage] Simon Grant, Idione Meneghel and Rabee Tourky. Savage Games [.pdf ]
[Decomposable] Idione Meneghel and Rabee Tourky. A fixed point theorem for closed-graphed decomposable-valued correspondences. [.pdf ]
[Notes]
    Here are two papers that containing notes pointing to different approaches to our fixed point theory results and theiry application to Bayesian games. The first is Chapter 3 of Idione's PhD thesis. The second is her original job market paper where she conjectures that the result is true: Idione Meneghel and Rabee Tourky. Monotone purification in Bayesian games without ordered strategies and with interdependent types [.pdf ] [.pdf ]

Cones and duality


About the book: The goal of the book is to present the theory of ordered vector spaces from a contemporary perspective that has been influenced by the study of ordered vector spaces in economics as well as other recent applications. We try to imbue the narrative with geometric intuition, which is in keeping with a long tradition in mathematical economics. We also approach the subject with our own personal presentiment that the special class of Riesz spaces is somehow “perfect” and thus loosely conceive of general ordered vector spaces as “deviations” from this “perfection.” The book also contains material that has not been published in a monograph form before. The study of this material was initially motivated by various problems in economics and econometrics.

[CD] Charalambos D. Aliprantis and Rabee Tourky. Cones and duality, volume 84 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2007. [ bib  ams.org  PDF (password encrypted)  Google Books   ]

Published papers


[1] Andrew McLennan, Paulo K. Monteiro, and Rabee Tourky. Games with discontinuous payoffs: a strengthening of Reny's existence theorem. Econometrica, 79(5):1643-1664, 2011. [ bib | DOI | .pdf ]
[2] Andrew McLennan and Rabee Tourky. Imitation games and computation. Games Econom. Behav., 70(1):4-11, 2010. [ bib | DOI | http ]
[3] Andrew McLennan and Rabee Tourky. Simple complexity from imitation games. Games Econom. Behav., 68(2):683-688, 2010. [ bib | DOI | http ]
[4] Charalambos D. Aliprantis and Rabee Tourky. Equilibria in incomplete assets economies with infinite dimensional spot markets. Econom. Theory, 38(2):221-262, 2009. [ bib | DOI | http ]
[5] M. Ali Khan, Yeneng Sun, Rabee Tourky, and Zhixiang Zhang. Similarity of differential information with subjective prior beliefs. J. Math. Econom., 44(9-10):1024-1039, 2008. [ bib | DOI | http ]
[6] Andrew McLennan and Rabee Tourky. Games in oriented matroids. J. Math. Econom., 44(7-8):807-821, 2008. [ bib | DOI | http ]
[7] Andrew McLennan and Rabee Tourky. Using volume to prove Sperner's lemma. Econom. Theory, 35(3):593-597, 2008. [ bib | DOI | http ]
[8] Martin J. Osborne and Rabee Tourky. Party formation in single-issue politics. Journal of the European Economic Association, 6(5):pp. 974-1005, 2008. [ bib | http ]
[9] Charalambos D. Aliprantis, David Harris, and Rabee Tourky. Riesz estimators. J. Econometrics, 136(2):431-456, 2007. [ bib | DOI | http ]
[10] Charalambos D. Aliprantis and Rabee Tourky. Cones and duality, volume 84 of Graduate Studies in Mathematics. American Mathematical Society, Providence, RI, 2007. [ bib ]
[11] Charalambos D. Aliprantis, David Harris, and Rabee Tourky. Continuous piecewise linear functions. Macroeconomic Dynamics, 10(01):77-99, February 2006. [ bib | .html ]
[12] Charalambos D. Aliprantis, Monique Florenzano, and Rabee Tourky. Production equilibria. J. Math. Econom., 42(4-5):406-421, 2006. [ bib | DOI | http ]
[13] Charalambos D. Aliprantis, Monique Florenzano, and Rabee Tourky. Linear and non-linear price decentralization. J. Econom. Theory, 121(1):51-74, 2005. [ bib | DOI | http ]
[14] Charalambos D. Aliprantis, Monique Florenzano, and Rabee Tourky. General equilibrium analysis in ordered topological vector spaces. J. Math. Econom., 40(3-4):247-269, 2004. [ bib | DOI | http ]
[15] C. D. Aliprantis, M. Florenzano, V. F. Martins-da Rocha, and R. Tourky. Equilibrium analysis in financial markets with countably many securities. J. Math. Econom., 40(6):683-699, 2004. [ bib | DOI | http ]
[16] Charalambos D. Aliprantis, Paulo K. Monteiro, and Rabee Tourky. Non-marketed options, non-existence of equilibria, and non-linear prices. J. Econom. Theory, 114(2):345-357, 2004. [ bib | DOI | http ]
[17] C. D. Aliprantis, B. Cornet, and R. Tourky. Economic equilibrium: optimality and price decentralization. Positivity, 6(3):205-241, 2002. Special issue of the mathematical economics. [ bib | DOI | http ]
[18] Charalambos D. Aliprantis, Yiannis A. Polyrakis, and Rabee Tourky. The cheapest hedge. J. Math. Econom., 37(4):269-295, 2002. [ bib | DOI | http ]
[19] Charalambos D. Aliprantis and Rabee Tourky. Markets that don't replicate any option. Econom. Lett., 76(3):443-447, 2002. [ bib | DOI | http ]
[20] Charalambos D. Aliprantis and Rabee Tourky. The super order dual of an ordered vector space and the Riesz-Kantorovich formula. Trans. Amer. Math. Soc., 354(5):2055-2077, 2002. [ bib | DOI | http ]
[21] Rabee Tourky and Nicholas C. Yannelis. Markets with many more agents than commodities: Aumann's “hidden” assumption. J. Econom. Theory, 101(1):189-221, 2001. [ bib | DOI | http ]
[22] Charalambos D. Aliprantis, Rabee Tourky, and Nicholas C. Yannelis. A theory of value with non-linear prices. Equilibrium analysis beyond vector lattices. J. Econom. Theory, 100(1):22-72, 2001. [ bib | DOI | http ]
[23] Charalambos D. Aliprantis, Rabee Tourky, and Nicholas C. Yannelis. Cone conditions in general equilibrium theory. J. Econom. Theory, 92(1):96-121, 2000. [ bib | DOI | http ]
[24] C. D. Aliprantis, R. Tourky, and N. C. Yannelis. The Riesz-Kantorovich formula and general equilibrium theory. J. Math. Econom., 34(1):55-76, 2000. [ bib | DOI | http ]
[25] Rabee Tourky. Production equilibria in locally proper economies with unbounded and unordered consumers. J. Math. Econom., 32(3):303-315, 1999. [ bib | DOI | http ]
[26] Rabee Tourky. The limit theorem on the core of a production economy in vector lattices with unordered preferences. Econom. Theory, 14(1):219-226, 1999. [ bib | DOI | http ]
[27] M. Ali Khan, Rabee Tourky, and Rajiv Vohra. The supremum argument in the new approach to the existence of equilibrium in vector lattices. Econom. Lett., 63(1):61-65, 1999. [ bib | DOI | http ]
[28] Rabee Tourky. A new approach to the limit theorem on the core of an economy in vector lattices. J. Econom. Theory, 78(2):321-328, 1998. [ bib | DOI | http ]