Professor Dionysius Glycopantis

Overview

Professor Gycopantis is an Emeritus Professor at City, University of London and specialises in game theory and mathematical economics.

Research interests

• Game Theory (using capacities), and differential economies (with Allan Muir and Nicholas Yannelis.
• The structure of mixed strategies in game theory (with Allan Muir).
• Problems in optimization (with Allan Muir).
• The role of price discrimination, which takes the form of bundling the transactions and offering a discount or a premium, is considered both in the context of e-commerce and of transactions in general (with Xeni Dassiou).

Issues and impact

The research covers a large area in mathematical economics. In an attempt to formulate more realistic economic problems, new Hamiltonian functions have been introduced and the idea of Pontryagin's Maximum Principle has been extended. Generalizations of the Euler-Lagrange equation and the transversality condition of optimal growth models have been obtained. Stability of the steady-state requires the investigation of the properties of difference-differential equations. A stochastic optimal growth model has been investigated. A model with a cusp catastrophe, a linear programming problem with a duality gap, and issues in continuous models have been discussed. Work has also been carried out in the areas of cooperative and non-cooperative game theory, with an alternative approach to the Nash bargaining solution. The papers considering issues in economies with asymmetric information have attracted some attention. References to a variety of the above papers have been made in publications, discussion papers and PhD theses.

Research supervision

PhD theses have been supervised and examined in the areas of The Separation Thesis and Capital Market Constraints, Industrial Economics, Measurement of Efficiency in a Dynamic Context, Health Economics, and the History of Economic Thought.

Publications

• "A Note on the Envelope Theorem", (Xeni Dassiou and Dionysius Glycopantis), Economic Letters 150, (2017) 77-82.
• "A Note on the Envelope Theorem'', (Xeni Dassiou and Dionysius Glycopantis), e-journal, 19/7/2016, 13 pages, (http://ssrn.com/abstract=2811076)
• "Notes on Game theory I", Game theory and Bargaining theory, e-journal, 8/2/2016, 118 pages, (http://ssrn.com/abstract=2728946)
• "An Agency Relationship Under General Conditions of Uncertainty: The Case of the Doctor-Patient Interaction" by Dionysius Glycopantis and Charitini Stavropoulou, Game Theory and Bargaining Theory e-Journal, and Other Microeconomics: Asymmetric and Private Information e-Journal, pages, July 20, 2015, 18 pages, (http://ssrn.com/abstract=2632934).
• "On Games with Imperfect Recall and Games with Perfect Recall'', Game theory and Bargaining theory, e-journal, 7/11/2014, 45 pages.
• "A tree formulation of signalling games with noise'', (with Xeni Dassiou) Natural Science, 2014, 6, 1128-1139.
• "Nash Equilibria in Large Games'', Game Theory, Volume 2014 (2014), Article ID 617596, 4 pages, http://dx.doi.org/10.1155/2014/617596.
• "Zero-Sum Games, Linear Programming and Kuhn-Tucker Theory", Game theory and Bargaining theory, e-journal, 7/1/2014, 22 pages.
• "A tree Formulation for Signalling Games", (Xeni Dassiou and Dionysius Glycopantis), Volume 2013, Game Theory Article ID 754398, 12 pages.
• "Welfare Analysis and Policy Implications of Bundling Decisions by Firms", (Xeni Dassiou and Dionysius Glycopantis), in Advances in Economics and Business_2013.010102.pdf (application/pdf, 550.37KB): 1(1), pages 6-221, DOI: 13981/aeb.2013. 010102
• "Optimal Decisions in Two-Stage Bundling", (with Xeni Dassiou), in Recent Advances in the Analysis of Competition Policy and Regulation edited by J. E. Harrigton et. al, Edward Elgar, 2012, pp. 95-115.
• "Transaction Bundling in Monopsonistic Markets; Theory and Numerical Implications", (with Xeni Dassiou), The Journal of Economic Asymmetries, 2012, pp. 105-131.
• "A tree formulation for signalling games", (with Xeni Dassiou), Game theory and Bargaining theory, e-journal, 15/2/2012, 22 pages.
• "The Supply of Information in an Emotional Setting", (with Charitini Stavropoulou), CESifo Economic Studies, (Oxford Journals, Economics & Social Sciences), September 2011, 23 pages.
• "On mixed and behavioural strategies", (with C.D. Aliprantis and A. Muir), Economics Bulletin, Vol 29, Issue 3, 1-12, (2009).
• "Symposium on: The structure of modern markets", pp.1-5, Guest Editors, Xeni Dassiou and Dionysius Glycopantis, The Journal of Economic Asymmetries, September 2009, Volume 6, Number 2, pp. 1-6.
• "Bundling in general markets and in health care systems", (with Xeni Dassiou and Charitini Stavropoulou) pp. 1-20. The Journal of Economic Asymmetries, September 2009, Volume 6, Number 2, pp.47-68.
• "On non-revealing rational expectation equilibrium", Economic Theory, Vol 38, 351-369, (2009).
• "Symposium on: Equilibria with Asymmetric Information". Guest Editors: Dionysius Glycopantis, Carlos Herves-Beloso and Konrad Podczeck, Economic Theory, Vol. 38, 217-219, (2009).
• "Nash equilibria with Knightian uncertainty: the case of capacities", (with A. Muir), in Economics Theory, Vol. 37, 147-159, (2008).
• ''Price Discrimination through Transactions Bundling; the Case of Monopsony", (with Xeni Dassiou), Journal of Mathematical Economics, Vol. 44, 2008, 672-681.
• "Introduction to differential information economies'' (with Nicholas Yannelis), pp. 1-20, to be published by the National Singapore University in a volume of invited lectures on current issues in economic theory.
• "On asymmetric information in finite, exchange economies'', (with Nicholas Yannelis), in Essays in Economic Theory, in honour of Professor T. Benos, Kritiki, 177-200.
• ''Notes on the economics of uncertainty", (with Xeni Dassiou), in Essays in Economic Theory, in honour of Professor T. Benos, Kritiki, 103-123.
• "The joint continuity of the expected payoff functions", (with C. D. Aliprantis and D. Puzello), (2005), Journal of Mathematical Economics, Vol 42, 2006, 121-130.
• ''The Economic Theory of Price Discrimination via Transactions Bundling; An Assessment of Policy Implications'', (with Xeni Dassiou), pp. 1-22, (July 2006), Review of Law and Economics, Vol 2: No 2, Article 5, (http:/www.bepress.com/rle/vol2/iss2/art5).
• "Non-implementation of rational expectations as a perfect Bayesian equilibrium", (with A. Muir and Nicholas Yannelis), Economic Theory, Vol 26, 2005, 765-791.0
• ''On extensive form implementations of equilibria in differential information economies'', (with A. Muir and Nicholas Yannelis), Advances in Mathematical Economics, Vol 8, 2006, 185-214. (Also translated into Japanese and published by the same journal).
• ''FDI and Growth: Evidence from a Panel of European Transition Countries'', (with Dimitrios Asteriou and Xeni Dassiou), SPOUDAI, The University of Piraeus Journal of Economics, Business, Statistics and Operational Research, Vol. 55, (2005), 9-30.
• "Information, efficiency and the core of an economy: Comments on Wilson's paper'', (with N. Yannelis), in Contributions to Equilibrium in Differential Information Economies, D. Glycopantis and N. Yannelis (editors), Springer- Verlag, (2005), 67-75.
• "Preface'', (with N. Yannelis), in Contributions to Equilibrium in Differential Information Economies, D. Glycopantis and N. Yannelis (editors), Springer- Verlag, (2005), V-X.
• "Equilibrium concepts in economies with differential information", (with N. Yannelis), in Contributions to Equilibrium in Differential Information Economies, D. Glycopantis and N. Yannelis (editors), Springer-Verlag, (2005), 1-52.
• "Non-implementation of Rational Expectations as a Perfect Bayesian Equilibrium'', (with A. Muir and Nicholas Yannelis), Institut für Hõhere Studien (IHS), Reihe Oekonomie, Wien, (Institute of Advanced Studies, Vienna, Economics Series), February 2004, 1-38.
• "E-Commerce and the Role of Price Discrimination Using Transactions Bundling'', (with Xeni Dassiou), Essays in Honour of Professor A. Sarantides, Piraeus, (2005), 840-870.
• "The compactness of Pr(K)'',(with A.Muir), Advances in Mathematical Economics, Vol. 6, 2004, 39-53.
• "On extensive form implementation of contracts in differential information economies'', (with A. Muir and Nicholas Yannelis), Economic Theory, Vol. 21, 2003, pp.495-526. Reprinted in Assets, Beliefs, and Equilibria in Economic Dynamics, C. D. Aliprantis, K. J. Arrow et al. (editors), Springer- Verlag, 2004, 323-354.
• "Extensive form implementation of weak fine core allocations through penalties'', (with David W. Bernotas and Nicholas Yannelis), in a volume of essays in Economic Theory, Growth and Labor Markets, G. Bitros et al. (editors), publishers: Edward Elgar, 2002, 55-73.
• "An extensive form interpretation of the private core'', (with A. Muir and Nicholas Yannelis), Economic Theory, Vol. 18, No. 2, 2001, 293-319.
• "Continuity of the payoff function'', (with A. Muir), Economic Theory, Vol. 16, No. 3, 2000, 239-244.
• "Nash equilibria in infinite-dimensional spaces; an approximation theorem'', (with A. Muir), Economic Theory, Vol. 13, No. 3, 1999, 743-751.
• "On the N-Player bargaining Problem: The uniform density approach'', (with A. Muir) SPOUDAI, The University of Piraeus Journal of Economics, Business, Statistics and Operational Research, January-June, 1997, 3-15.
• "An Approach to Bargaining for General Payoffs Regions'', in a Conference Volume on Functional Analysis and Economic Theory, Yuri Abramovich et al. (editors), Springer-Verlag 1998, 145-169.
• "Extensive Games with Given Behavioural Expectations'', (with A. Muir), Revista Española de Economìa, Vol. 13, No 1, 1996, 21-38.
• "A Probabilistic Approach to the Nash Bargaining Problem'', (with A. Muir), Economic Notes, Monte dei Pashi di Siena, Vol. 24, No 1-1995, 153-174.
• "On the Nash Bargaining Solution: An Alternative Approach'' (with A. Muir), British Review of Economic Issues, Vol. 38, February 1994, 55-71.
• "Smoothing the Demand Game", Economic Notes, Monte dei Pashi di Siena, Vol. 1, 1992, 170-174.
• "On the Solution of a Stochastic Optimal Growth Model", (with A. Muir), Journal of Economics, Zeitschrift f'r Nationalökonomie, Vol. 59, 1991, No.2, 125-142.
• "Discrete-Continuous Time Optimal Growth Models", SPOUDAI, The University of Piraeus Journal of Economics, Business, Statistics and Operational Research, Vol. 41, 1991, 251-264.
• "Non-Existence of a Solution in a Finite Horizon Continuous Model", SPOUDAI, The University of Piraeus Journal of Economics, Business, Statistics and Operational Research, Vol. 38, 1989, 13-22.
• "Optimal Growth in Certain Models with Intertemporally Dependent Tastes and Neoclassical Technology", in Essays in Memory of P. Christodoulopoulos, G. Britros and C.A. Davos, (editors), Papazisis Press, 1987, 43-62. (A small number of Economists in Europe and North America were invited to contribute to this volume).
• "Some Demand Theory in Continuous Models", The Economic Studies Quarterly, Vol. XXXVII, No. 1, March 1986, 44-53.
• "The Cusp Catastrophe in an Exchange Model", The Economic Studies Quarterly, Vol. XXXII, No. 2, August 1981, 188-91.
• "Uncountably Many Equilibria with Differentiable Indifference Curves", Rivista Internationale di Scienze Economiche e Commerciali, Anno XXVI, 1979, No.8, 805-810.
• "Efficient Capital Accumulation : Alternative Proof of a Theorem", The Economic Studies Quarterly, Vol. XXXIX, No. 1, April 1978, 77-80.
• "A Non-Closed Total Production Set", Zeitschrift f'r Nationalökonomie, Journal of Economics, No. 1-2, Vol. 37, 1977, 174-8.
• "Economic Efficiency and Shadow Prices is an Infinite Horizon Model", Zeitschrift für Nationalökonomie, Journal of Economics, Vol. 35, 1975, 427-30.
• "On the Relative Stability and Optimality of Consumption in Aggregate Growth Models : A Critical Analysis", Economica, Vol. 40, August 1973, 283-90.
• "Optimality Conditions in Certain Models with Intertemporally Dependent Tastes", Western Economic Journal, Vol. X, No 2, June 1972, 139-55.
• "On the Optimality of the Uzawa Paths, A Comment", Weltwirtschaftliches Archiv, 1971, Band 107, Heft 2, 317-8.
• "The Closed Linear Model of Production : A Note", The Review of Economic Studies, Vol. XXXVII (2), April 1970, 295-7.

Discussion papers

• "A tree formulation for signalling games". By Xeni Dassiou and D. Glycopantis. Discussion paper No 11/07 pp.1-18. 2011, City University London. Department of Economics.
• The doctor-patient relationship under general conditions of uncertainty. By Charitini Stavropoulou and Dionysius Glycopantis. Discussion paper 2009/06, July 2009 pp. 1-23, Imperial College, London, Business School.
• Conflict in the Doctor-Patient relation and Non-Adherence: A game theory approach (pdf). By Charitini Stavropoulou and Dionysius Glycopantis, October 2008, pp. 1-39, The LSE Health Working paper Series in Health Policy and Economics, WP10.
• "On the solution of Certain Planning Models", London School of Economics Discussion Paper No 6, July 1970, 1-10.

Unpublished notes and papers

• ''On the St Peterburg Paradox'', with Allan Muir and Charitini Stavropoulou, (15 Sep 2009)
• "A note on target income and the competitive solution" with Charitini Stavropoulou, (17 Sep 2009)
• ''On Radner Prices'' (15 March 2007)
• "On Quasi-Concavity" , with Allan Muir, (15 November 2005)
• "On Alexandrov's Theorem" with Allan Muir, (10 November 2005)
• "On the Constraint Qualification", with Allan Muir, (1 July 2004)
• "The Hessian determinant of a linear homogeneous function", with Allan Muir, (21 June 2004)

Publications by category