Founder and CEO
Money Theory and Political Econometrics
Inventor of the Economic Engine
Digital Business Models
Game Theory and Risk Modelling
Mechanism Design and Game Theory
Monetary Economics and Game Theory
Custom and Crypto Currencies
Programming Language Design
Our approach is rather simple.
Social reality is complicated and we need the best possible tools and theories. After all, at OiCOS we want to create the best possible ecosystems and societies since these are the most important things for live on earth.
Fortunately, the eternally unchanging insight that "everything is changing" allows us to see what makes the whole into more than its parts.
An ecosystem is a context with a living content. The content is a social system once the living things organise themselves in groups. This is where we are living, what we are modelling when we try to understand our context and what we mean by ecosystems - contextual social systems. A living being is social if it maintains relations. All living beings are social.
We have been educated in social and economic theory and extended it in our research into a reflexive science of ecosystems by applying the most modern technology for implementing the ancient process oriented approach to understand the world. It is the only approach we know to be suited to understand the complex nature of ecosystems. It is Heraclitus idea of panta rhei - everything flows. Process orientation is most consistently implemented in mathematics by category theory. It is also used to organise mathematics itself since it is the mathematical theory of structure and organisation.
By switching from objects to processes as the basic building blocks of the universe, we can see how "the whole is more than the parts". The missing piece in Aristoteles saying is that the whole also includes relations, functions or processes between the parts. Adding relations seems to be an obvious starting point for social theories. But it is not, at least not in current mathematical economics, which is based on the usual object oriented set theoretical mathematics. The inability to add relations and to define contexts results in damages in contexts like families, companies, societies and nature. These damages are not only very expensive but very life threatening. Being at war with yourself and your very nature has no chance of success - by nature.
With process orientation we can add relations and understand social systems. There is no divine miracle or mystical being with a beard in the sky - there are just colimits (the cones in the picture below):
The complex link gg' on top, from cQ=A to cQ'=A', is called an emergent property of the whole at level n+1 which is not present in the parts at level n. Subatomic particles result in atoms as an emergent phenomenon, life in humans is emergent from the bunch of chemicals, organisations emerge from communication between humans and ecosystem and societies result from communication of communication.
We believe that the appropriate tools of mind are key to understanding, designing and managing ecosystems. This is why we have gone all the way to the basics of social sciences and combined the best tools from economics, computer science, mathematics, statistics, biology, philosophy or linguistics for the good of life on earth.
Uncertainty Quantification and Global Sensitivity Analysis for Economic Models
Compositional Game Theory
Higher-Order Decision Theory
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
Our research group and network
Dusko Pavlovic, Brendan Fong, Bob Coecke, Samson Abramsky, David Spivak and many more at Oxford, MIT, Glasgow, Amsterdam, Nijmegen, Hawaii and other universities, research institutions and think tanks