Weighted Solidarity Values
We present a noncooperative bargaining protocol among n players, applied to the setting of cooperative games in coalitional form with transferable utility. In this model, players are chosen randomly to make proposals until one is accepted unanimously, and after each proposal rejection, the probability that players leave the game increases. If after a rejection, some players withdraw the bargaining, the remaining players continue the process. We define a new family of values, called the weighted solidarity values, and we show that these values arise as the associated equilibrium payoffs of this bargaining protocol. In these values players have an altruistic behavior between them as the null player property is not satisfied.
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- Nowak, Andrzej S & Radzik, Tadeusz, 1994. "A Solidarity Value for n-Person Transferable Utility Games," International Journal of Game Theory, Springer;Game Theory Society, vol. 23(1), pages 43-48.
- Hart, Sergiu & Mas-Colell, Andreu, 1996.
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- Sergiu Hart & Andreu Mas-Colell, 1994. "Bargaining and value," Economics Working Papers 114, Department of Economics and Business, Universitat Pompeu Fabra, revised Feb 1995.
- Perez-Castrillo, D. & Wettstein, D., 1999. "Bidding for the Surplus: a Non-Cooperative Approach to the Shapley Value. ation," Papers 24-99, Tel Aviv.
- René Brink & Yukihiko Funaki & Yuan Ju, 2013. "Reconciling marginalism with egalitarianism: consistency, monotonicity, and implementation of egalitarian Shapley values," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 40(3), pages 693-714, March.
- Sprumont, Yves, 1990. "Population monotonic allocation schemes for cooperative games with transferable utility," Games and Economic Behavior, Elsevier, vol. 2(4), pages 378-394, December. Full references (including those not matched with items on IDEAS)
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