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Further publications on evolutionary dynamics in cooperative games

[Translate to English:] Operations_Research_Letters.jpg © Operations_Research_Letters

New theoretical modeling approach links previously separate research fields and enables the analysis of the (evolutionary) stability of different coalition types

In a series of papers, Michael Kramm and co-authors develop a new modeling approach that combines cooperative and evolutionary game theory. This approach can be interpreted as follows. A company consists of many different employees who can be assigned to a specific department. This department determines the productive skills of its employees. Departments share their resources and their employees perform productive tasks in a “cooperative game” with other departments according to their affiliation to a specific organizational unit. In this way, they contribute to the “reproductive success” of the company. The fruits of success are then distributed among the individual departments according to certain principles of fairness based on the department's productivity. This creates an "evolutionary dynamic", which determines the composition of the company with regard to the available resources of the departments.

The modeling approach requires a specification of how in the "cooperative game" employees from different departments generate value depending on the use of resources and how, based on this, a fair distribution of the gains is defined. Casajus and Kramm (2022, ORL, Solutions for Non-Negatively Weighted TU Games Derived from Extension Operators) explore this question in the case that the department with the maximum use of resources in a project alone determines its output. This assumption is plausible, for example, if only a single mainframe computer is available and the department with the highest quality software, the "maximum resource", uses it for the joint project. Furthermore, Casajus and Kramm (2022, ORL, Asymptotic Stability in Replicator Dynamics Derived from TU Games) show that in such a scenario so-called "minimal blocking coalition" are (evolutionarily) stable. These coalitions are characterized by consisting of the lowest number of company departments necessary to prevent the project from being completed. This result applies for the specific case that a project can either be implemented or not, i.e., the value is either one or zero.

Location & approach

The campus of TU Dort­mund University is located close to interstate junction Dort­mund West, where the Sauerlandlinie A 45 (Frankfurt-Dort­mund) crosses the Ruhrschnellweg B 1 / A 40. The best interstate exit to take from A 45 is "Dort­mund-Eichlinghofen" (closer to Campus Süd), and from B 1 / A 40 "Dort­mund-Dorstfeld" (closer to Campus Nord). Signs for the uni­ver­si­ty are located at both exits. Also, there is a new exit before you pass over the B 1-bridge leading into Dort­mund.

To get from Campus North to Campus South by car, there is the connection via Vogelpothsweg/Baroper Straße. We recommend you leave your car on one of the parking lots at Campus North and use the H-Bahn (suspended monorail system), which conveniently connects the two campuses.

TU Dort­mund University has its own train station ("Dort­mund Uni­ver­si­tät"). From there, suburban trains (S-Bahn) leave for Dort­mund main station ("Dort­mund Hauptbahnhof") and Düsseldorf main station via the "Düsseldorf Airport Train Station" (take S-Bahn number 1, which leaves every 20 or 30 minutes). The uni­ver­si­ty is easily reached from Bochum, Essen, Mülheim an der Ruhr and Duisburg.

You can also take the bus or subway train from Dort­mund city to the uni­ver­si­ty: From Dort­mund main station, you can take any train bound for the Station "Stadtgarten", usually lines U41, U45, U 47 and U49. At "Stadtgarten" you switch trains and get on line U42 towards "Hombruch". Look out for the Station "An der Palmweide". From the bus stop just across the road, busses bound for TU Dort­mund University leave every ten minutes (445, 447 and 462). Another option is to take the subway routes U41, U45, U47 and U49 from Dort­mund main station to the stop "Dort­mund Kampstraße". From there, take U43 or U44 to the stop "Dort­mund Wittener Straße". Switch to bus line 447 and get off at "Dort­mund Uni­ver­si­tät S".

The H-Bahn is one of the hallmarks of TU Dort­mund University. There are two stations on Campus Nord. One ("Dort­mund Uni­ver­si­tät S") is directly located at the suburban train stop, which connects the uni­ver­si­ty directly with the city of Dort­mund and the rest of the Ruhr Area. Also from this station, there are connections to the "Technologiepark" and (via Campus Süd) Eichlinghofen. The other station is located at the dining hall at Campus Nord and offers a direct connection to Campus Süd every five minutes.

The AirportExpress is a fast and convenient means of transport from Dortmund Airport (DTM) to Dortmund Central Station, taking you there in little more than 20 minutes. From Dortmund Central Station, you can continue to the university campus by interurban railway (S-Bahn). A larger range of international flight connections is offered at Düsseldorf Airport (DUS), which is about 60 kilometres away and can be directly reached by S-Bahn from the university station.

The facilities of TU Dortmund University are spread over two campuses, the larger Campus North and the smaller Campus South. Additionally, some areas of the university are located in the adjacent "Technologiepark".

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