![]() ![]() X: īy this example, we observed that the axiomatization of the modiclus was satisfied, from we which can conclude that the modiclus of the game was found by this evaluation. > DRP_mnc_v=DRP_propertyQ(v,mnc_v,'MODIC') We restrict our example to a six-person bankruptcy problem The debts vector and the estate that can be distributed to theĬreditors. In a first step, we define a bankruptcy situation while specifying To satisfy at least partly the mutual inconsistent claims of the creditors. No claimant/creditor can find an argument to obstruct the proposed division The problem is now to find a fair/stable distribution in the sense that Such a situation is known in game theory as a bankruptcy problem. To meet simultaneously all of the debts/claims of a set of claimants, The Shapley value, the (pre-)nucleolus or a pre-kernel element.įor this purpose, consider a situation where an estate is insufficient MatTuGames, we discuss a small example to demonstrate of how one canĬompute some game properties or solution concepts, like convexity, #Matlab symbolic toolbox functions how toIn order to get some insight how to analyze a cooperative game,Ī so-called transferable utility game, with the Game Theory Toolbox Some informationĪre provided how to call our Mathematica package TuGames within a running Matlab session. Use Matlab's Parallel Computing Toolbox in connection with this toolbox to benefitįrom a gain in performance by launching supplementary Matlab workers. Modiclus as well as game values like the Banzhaf, Myerson, Owen, position, Shapley, solidarity,Īnd coalition solidarity value and much more. Provides functions to compute the (pre-)kernel, (pre-)nucleolus, anti (pre-)kernel, and That these functions are executed relatively slowly, we heavily relied on vectorizedĬonstructs in order to write more efficient Matlab functions. Investigate TU-games, which are written in a C/C++ programming style with the consequence ![]() In contrast to existing Matlab toolboxes to The game theoretical Matlab toolbox MatTuGames provides about 500 functionsįor modeling, and calculating some solutions as well as properties of cooperative ![]()
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