By P. Levine, J.-P. Ponssard (auth.), S. J. Brams, A. Schotter, G. Schwödiauer (eds.)
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Additional resources for Applied Game Theory: Proceedings of a Conference at the Institute for Advanced Studies, Vienna, June 13–16, 1978
Thus a quarrel decreases the ability of the group to act and the effect of this is dominant on the power of an individual to initiate action, even though his relative power may increase. 2 The Strong Paradox of Quarreling We did not consider the Brams/Lake index for the paradox of quarreling because it is not clear how the blocking coalitions should be handled in this case. Indeed, the model of quarreling which we have considered has a disquieting lack of symmetry which one might feel is the source of the paradox.
However this argument is only plausible if~ is in the core. If~ is not in the core, then for someS v (S)- ~ w. > 0. But then an entrepreneur could bid away S by offering them S I higher wages and still make a profit, and the strike could collapse. Thus if the core does not exist, a strike is vulnerable and one can expect to observe exploitable surplus for the entrepreneur and a core market value for the wage structure. On the other hand, if the core does exist, the core market values coincide with the core.
Our results are simple: a) Voting weights are extremely bad proxies for voting power. In fact, they are so bad that it may be possible to increase a voter's voting weight within an organization and actually decrease his power when power is measured by both the Banzhaf and Shapley-Shubik power in indices. In addition, it is possible to decrease a voter's voting weight within a voting body and increase his power. This later result was termed the "Paradox of redistribution" by FischerjSchotter [ 1978].