Centre for Decision Research and Experimental Economics

CeDEx 2022-05: "Greedy" Demand Adjustment in Cooperative Games


This paper studies a simple process of demand adjustment in cooperative games. In the process, a randomly chosen player makes the highest possible demand subject to the demands of other coalition members being satisfied. This process converges to the aspiration set; in convex games, this implies convergence to the core. We further introduce perturbations into the process, where players sometimes make a higher demand than feasible. These perturbations make the set of separating aspirations, i.e., demand vectors in which no player is indispensable in order for other players to achieve their demands, the one most resistant to mutations. We fully analyze this process for 3-player games. We further look at weighted majority games with two types of players. In these games, if the coalition of all small players is winning, the process converges to the unique separating aspiration; otherwise, there are many separating aspirations and the process reaches a neighbourhood of a separating aspiration.

Download the paper in PDF format


Maria Montero and Alex Possajennikov


View all CeDEx discussion papers | View all School of Economics featured discussion papers


Posted on Monday 7th March 2022

Centre for Decision Research and Experimental Economics

Sir Clive Granger Building
University of Nottingham
University Park
Nottingham, NG7 2RD

telephone: +44 (0)115 951 5458
Enquiries: jose.guinotsaporta@nottingham.ac.uk
Experiments: cedex@nottingham.ac.uk