ARE NASH BARGAINING WAGE AGREEMENTS UNIQUE? AN INVESTIGATION INTO BARGAINING SETS FOR FIRM-UNION NEGOTIATIONS

1996 ◽  
Vol 48 (2) ◽  
pp. 242-253 ◽  
Author(s):  
C. O. ALEXANDER ◽  
W. LEDERMANN
2020 ◽  
Author(s):  
Barry Nalebuff

The Nash axioms lead to different results depending on whether the negotiation is framed in terms of gains relative to no agreement or in terms of sacrifices relative to an ideal. We look for a solution that leads to the same result from both perspectives. To do so, we restrict the application of Nash’s IIA axiom to bargaining sets where all options are individually rational and none exceed either party’s ideal point. If we normalize the bargaining set so that the disagreement point is (0, 0) and maximal gains are (1, 1), then any perspective-invariant bargaining solution must lie between the Utilitarian solution and the maximal equal-gain (minimal equal-sacrifice) solution. We show that a modified version of Nash’s symmetry axiom leads to the Utilitarian solution and that a reciprocity axiom leads to the equal-gain (equal-sacrifice) solution, both of which are perspective invariant. This paper was accepted by Joshua Gans, Business Strategy.


Author(s):  
Michelle R. Garfinkel ◽  
Constantinos Syropoulos

AbstractIn this paper, we study alternative forms of conflict resolution, both peaceful and non-peaceful, between two countries that compete for claims to a resource used to produce potentially traded goods. Consistent with the classical liberal argument, peace supports mutually beneficial trade, whereas war preempts it. War always induces countries to allocate resources into non-contractible arming (“guns”) for superiority in conflict. Under peaceful settlement, countries might choose to arm as well for gaining leverage in negotiations, but arming is typically less than what it is under war. Building on the observation that arming itself affects the countries’ bargaining sets, we compare the efficiency properties of division rules generated by three prominent bargaining solutions – namely, splitting the surplus, equal sacrifice, and Nash bargaining – and show how they depend on the gains from trade.


2015 ◽  
Vol 17 (04) ◽  
pp. 1550008 ◽  
Author(s):  
Bezalel Peleg ◽  
Peter Sudhölter

We show that the Aumann–Davis–Maschler bargaining set and the Mas-Colell bargaining set of a non-leveled NTU game that is either ordinal convex or coalition merge convex coincides with the core of the game. Moreover, we show by means of an example that the foregoing statement may not be valid if the NTU game is marginal convex.


2021 ◽  
Vol 13 (3) ◽  
pp. 1309
Author(s):  
Jiali Qu ◽  
Benyong Hu ◽  
Chao Meng

In the retail industry, customer value has become the key to maintaining competitive advantages. In the era of new retail, customer value is not only affected by the product price, but it is also closely related to innovations, such as value-added services and unique business models. In this paper, we study the joint innovation investment and pricing decisions in a retailer–supplier supply chain based on revenue sharing contracts and customer value. We first find that, in the non-cooperative game, equilibrium only exists in the supplier Stackelberg game. However, revenue sharing contracts cannot coordinate the supply chain in the non-cooperative game. By considering supply chain members’ bargaining power, we find that there exists a unique equilibrium for the Nash bargaining product. In addition, revenue sharing contracts can coordinate the supply chain and achieve the optimal consumer surplus. When the supply chain is coordinated, supply chain profit is allocated to the supply chain members based on their bargaining powers.


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