Monotonic Stable Solutions for Minimum Coloring Games

For the class of minimum coloring games (introduced by Deng et al. (1999)) we investigate the existence of population monotonic allocation schemes (introduced by Sprumont (1990)). We show that a minimum coloring game on a graph G has a population monotonic allocation scheme if and only if G is (P4, 2K2)-free (or, equivalently, if its complement graph G is quasi-threshold). Moreover, we provide a procedure that for these graphs always selects an integer population monotonic allocation scheme.Minimum coloring game;population monotonic allocation scheme;(P4;2K2)-free graph;quasi-threshold graph

Assignment Situations with Multiple Ownership and their Games

An assignment situation can be considered as a two-sided market consisting of two disjoint sets of objects.A non-negative reward matrix describes the profit if an object of one group is assigned to an object of the other group. Assuming that each object is owned by a different agent, Shapley and Shubik (1972) introduced a class of assignment games arising from these assignment situations.This paper introduces assignment situations with multiple ownership. In these situations each object can be owned by several agents and each agent can participate in the ownership of more than one object.In this paper we study simple assignment games and relaxations that arise from assignment situations with multiple ownership.First, necessary and sufficient conditions are provided for balanced assignment situations with multiple ownership.An assignment situation with multiple ownership is balanced if for any choice of the reward matrix the corresponding simple assignment game is balanced.Second, balancedness results are obtained for relaxations of simple assignment games.assignment situations;matchings;assignment games;balancedness

Cooperation under Interval Uncertainty

Classification: JEL code C71Cooperative game theory;Interval uncertainty;Core;Value;Balancedness

Nonlinear dynamics of flexural wave turbulence

The Kolmogorov-Zakharov spectrum predicted by the Weak Turbulence Theory remains elusive for wave turbulence of flexural waves at the surface of an thin elastic plate. We report a direct measurement of the nonlinear timescale $T_{NL}$ related to energy transfer between waves. This time scale is extracted from the space-time measurement of the deformation of the plate by studying the temporal dynamics of wavelet coefficients of the turbulent field. The central hypothesis of the theory is the time scale separation between dissipative time scale, nonlinear time scale and the period of the wave ($T_d>>T_{NL}>>T$). We observe that this scale separation is valid in our system. The discrete modes due to the finite size effects are responsible for the disagreement between observations and theory. A crossover from continuous weak turbulence and discrete turbulence is observed when the nonlinear time scale is of the same order of magnitude as the frequency separation of the discrete modes. The Kolmogorov-Zakharov energy cascade is then strongly altered and is frozen before reaching the dissipative regime expected in the theory.Comment: accepted for publication in Physical Review

Fixed Tree Games with Repeated Players

This paper introduces fixed tree games with repeated players (FRP games) which are a generalization of standard fixed tree games.This generalization consists in allowing players to be located in more than one vertex.As a consequence, these players can choose among several ways of connection with the root.In this paper we show that FRP games are balanced.Moreover, we prove that the core of an FRP game coincides with the core of a related concave fixed tree game.We show how to find the nucleolus and we characterize the orders which provide marginal vectors in the core of an FRP game.games;cooperative games;core

Expanding Well-Being by Participating in Grassroots Innovations: Using the Capability Approach to Explore the Interest of Alternative Food Networks for Community Social Services

Grassroots social innovations are citizen-led initiatives that develop bottom-up solutions to societal challenges. Alternative food networks (AFNs) are innovations which propose alternative schemes for distribution and consumption of food such as community-based agriculture or food cooperatives which can improve the well-being of participants. Its potential for social work and social services has been recognised, but remains underexplored. This paper proposes a theoretical framework based on the capability approach in order to explore the impacts, drivers and factors at play in the expansion of well-being in participants in AFNs. This framework is applied to address seven cases of different kind of AFNs in Valencia (Spain) and to explore implications and strands of action so community social services can make use of AFNs. The study draws on information from thirteen interviews with participants of AFNs, local experts and policymakers; from secondary sources and from participant observation. It deductively uses the categories in the framework and inductively identifies specific capabilities, drivers and factors. The results show that AFNs expand well-being in several aspects of human experience. They are highly diverse, from more reformist to more radical, so they can mobilise different publics. Social services can benefit from this impact and diversit

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