Research

Disruptive Innovations by Foundational Research

Our mission for our OiC.OS platform is to lift the technological dept of reductionistic science for complex economies, object oriented programming for parallel processes, SQL databases for networks, non-provable code for security critical infrastructures, ad-hoc abstractions for standardisation needs, non-composable financial contracts and accounting schemes.

OiCOS is the result of Viktor Winschel's and Philipp Zahn's research on a new foundation for the social sciences. The indispensable mathematical structure for economics, biological, social and cognitive sciences is reflexivity implemented by consistent compositionality over hierarchical and meta levels. It was captured mathematically for the first time by category theory for algebraic geometry and theoretical computer science. Reflexivity allows for self-description. By that self-similar structures at different levels can be used to organise and manage complex systems. Reflexivity is indispensable for the analysis and synthesis of living systems. To be sure, computer science is not about computers but about the design of languages to describe algorithms which are procedures of information processing. This is reflexive since the description itself processes information just as societies are communications that produce communications. The same reflexive foundations is now increasingly reorganise mathematics, computer science and physics by the meta mathematics of category theory which is based on the organisational and process oriented principle of compositionality - for reflexivity - all of mathematics is composed of categories (structure), functors (organise), natural transformations (reorganise) and adjunctions (optimise) - on all levels - of the organisation.

The current prevailing mathematical foundations of economics are unsuited to the analysis and, above all, synthesis or compositionality and thus organisation of living systems. The shortcomings or reductionistic science or world view can not avoid environmental or contextual damages, catastrophes, diseases, species extinction, plastic continents or authoritarian regimes over people while hiding the political responsibilities for the damages of an unsuited approach to the understanding of living systems. In the corporate context, the damages are declarations of bankruptcy.


We use these insights to design and implement management systems that are suitable for living and complex systems such as energy or monetary and FinTech systems for companies with strategic interactions.

Research Partners

Prof. Dr. Florian Heiss

Chair for Statistics and Econometrics

Prof. Dr. Philipp Zahn

  • Mechanism design (good rules for games) and game theory

  • Behavioural economics (beyond mechanistic rationality)

  • Experimental design (to understand human behaviour)

Philipp's personal Website

Dr. Evguenia Sprits

Prof. Dr. Neil Ghani

  • Mathematics

  • Programming language design

  • Open games

Neil's personal Website

MSP Group (Mathematically Structured Programming)

Dr. Jules Hedges

  • Open Games

  • Mathematics

  • Computer science

Jules' personal web blog

Dr. Renée Menéndez

Renee's personal web blog

Publications

Uncertainty Quantification and Global Sensitivity Analysis for Economic Models

(2019), Quantitative Economics, (preprint), Bruno Sudret, Stefano Marelli, Daniel Harenberg, Viktor Winschel

Compositional Game Theory (2018), Logic in Computer Science, (preprint) Neil Ghani, Jules Hedges, Viktor Winschel, Philipp Zahn

Higher-Order Decision Theory (2017) Algorithmic Decision Theory, (preprint), Evguenia Winschel, Philipp Zahn, Jules Hedges, Paulo Oliva

Selection Equilibria in Higher Order Games (2016), Practical Aspects of Declarative Languages, (preprint),  Philipp Zahn, Jules Hedges, Paulo Oliva, Viktor Winschel, Evguenia Sprit

Coalgebraic Analysis of Subgame-perfect Equilibria in Infinite Games without Discounting (2015), Mathematical Structures in Computer Science, Samson Abramsky, Viktor Winschel

Solving, Estimating and Selecting Nonlinear Dynamic Models without the Curse of Dimensionality (2010) Econometrica, Markus Krätzig, Viktor Winschel

Likelihood Approximation by Numerical Integration on Sparse Grids (2008) Journal of Econometrics, Florian Heiss, Viktor Winschel

Public Deficits and Borrowing Costs: The Missing Half of the Market Discipline

(2001), Journal of Public Finance and Public Choice, Friedrich Heinemann, Viktor Winschel

A Coalgebraic Semantics of Compositional Games in Economics

(2013), arXiV, Achim Blumensath, Viktor Winschel

The Empirical Analysis of Exchange Rate Regimes and Nonlinear Structural Econometrics (2005), PhD Thesis University of Mannheim, Viktor Winschel

Network

Dusko Pavlovic, Brendan Fong, Bob Coecke, Samson Abramsky, David Spivak, Alexander Kurz, Jocelyn Ireson-Paine and many more at Oxford, MIT, Strathclyde Glasgow, Amsterdam, Nijmegen, Hawaii and other universities and research institutions.

Conferences

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Academic Network