Showing 1 - 10 of 45
We examine a new class of games, which we call social games, where players not only choose strategies but also choose … players in different roles, among other things. We also examine finite repetitions of games where players may choose to … rematch in any period. Some equilibria of fixed-player repeated games cannot be sustained as equilibria in a repeated social …
Persistent link: https://www.econbiz.de/10005062336
It is well known since Owen (Management Science, 1968) that the weights in the weighted Shapley value cannot be interpreted as a measure of power (i.e. of the ability to bargain) of the players. This paper proposes a new weight scheme for the Shapley value. Weights in this framework have to be...
Persistent link: https://www.econbiz.de/10005407525
A formal scheme is described for coalition formation in a game of interconnected participants with monotonic utility functions. Special coalitions are studied which have an advantage over the rest in the sense of higher utility for each of the participants taken separately.
Persistent link: https://www.econbiz.de/10005407534
We define the canonical form of a cost spanning tree problem. The canonical form has the property that reducing the cost of any arc, the minimal cost of connecting agents to the source is also reduced. We argue that the canonical form is a relevant concept in this kind of problems and study a...
Persistent link: https://www.econbiz.de/10005407561
An expanded model of value in cooperative games is presented in which value has either a linear or a proportional mode …, and NTU value has either an input or an output basis. In TU games, the modes correspond to the Shapley (1953) and … proportional (Feldman (1999) and Ortmann (2000)) values. In NTU games, the Nash (1950) bargaining solution and the Owen- Maschler …
Persistent link: https://www.econbiz.de/10005407563
It is now almost a common truth that society needs to avoid environment contamination or damage become significant for nature protection programs of the government and wild life preservation efforts. A possible outcome of such efforts might occasionally be a voluntary solution, which results...
Persistent link: https://www.econbiz.de/10005407567
In this paper the random order approach to values of non-atomic games is reformulated by generating random orders from …\Theta$-symmetric random order value exists for most games in BV and it coincides with the fully symmetric Aumann-Shapley axiomatic value on …-Shapley Impossibility Principle for the random order approach to values of non-atomic games. …
Persistent link: https://www.econbiz.de/10005407568
-additive games, does not imply that all meetings end in agreement. Thus efficiency does not suffice to get Gul's result. …
Persistent link: https://www.econbiz.de/10005407580
For each outcome (i.e.~a payoff vector augmented with a coalition structure) of a TU-game with a non-empty coalition structure core there exists a finite sequence of successively dominating outcomes that terminates in the coalition structure core. In order to obtain this result a restrictive...
Persistent link: https://www.econbiz.de/10005407594
Cooperative and noncooperative games have no representation of players's basis utilities. Basis utility is the natural … reference point on a player's utility scale that enables the determination the marginal utility of any payoff or allocation. A … bargaining games with basis utility. Characterization of the Nash (1950) bargaining solution requires the assumption of the …
Persistent link: https://www.econbiz.de/10005407599