A conjectural cooperative equilibrium for strategic form games

This paper presents a new cooperative equilibrium for strategic form games, denoted Conjectural Cooperative Equilibrium (CCE). This concept is based on the expectation that joint deviations from any strategy profile are followed by an optimal and noncooperative reaction of non deviators. We show that CCE exist for all symmetric supermodular games. Furthermore, we discuss the existence of a CCE in specific submodular games employed in the literature on environmental agreements.Strong Nash Equilibrium, Cooperative Games, Public Goods

Payoff-dependent balancedness and cores (revised version)

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows the selection of specific core payoff vectors. Lastly, the class of parametrized cooperative games is introduced. This new setting and its associated equilibrium-core solution extend the usual cooperative game framework and core solution to situations depending on an exogenous environment. A non-emptiness result for the equilibrium-core is also provided in the context of a parametrized cooperative game. Our proofs borrow mathematical tools and geometric constructions from general equilibrium theory with non convexities. Applications to extant results taken from game theory and economic theory are given.balancedness, cooperative game, core, parametrized game

Payoff-dependant Balancedness and Cores.

We prove the non-emptiness of the core of an NTU game satisfying a condition of payoff-dependent balancedness, based on transfer rate mappings. We also define a new equilibrium condition on transfer rates and we prove the existence of core payoff vectors satisfying this condition. The additional requirement of transfer rate equilibrium refines the core concept and allows the selection of specific core payoff vectors. Lastly, the class of parameterized cooperative games is introduced. This new setting and its associated equilibrium–core solution extend the usual cooperative game framework and core solution to situations depending on an exogenous environment. A non-emptiness result for the equilibrium–core is also provided in the context of a parametrized cooperative game. Our proofs borrow mathematical tools and geometric constructions from general equilibrium theory with non-convexities. Applications to extant results taken from game theory and economic theory are given.Balancedness; Cooperative game; Core; Parametrized game;

Dominant Strategies in Two Qubit Quantum Computations

Nash equilibrium is a solution concept in non-strictly competitive, non-cooperative game theory that finds applications in various scientific and engineering disciplines. A non-strictly competitive, non-cooperative game model is presented here for two qubit quantum computations that allows for the characterization of Nash equilibrium in these computations via the inner product of their state space. Nash equilibrium outcomes are optimal under given constraints and therefore offer a game-theoretic measure of constrained optimization of two qubit quantum computations.Comment: The abstract has been re-written and technical details added to section 5 in version

Tax Competition, Capital Mobility and Public Good Provision Within a Trading Block

We construct a general equilibrium model of a two-country trading block where governments through tax policies attract mobile capital, and provide an imported public consumption good. At Nash equilibrium, when the public good is under-provided, (i) a country with a large GDP, has a large Nash equilibrium income tax rate, (ii) if initially the existing foreign capital in the country is zero or small, then the country with a large population or high individual marginal willingness to pay for the public good has a large Nash equilibrium income tax rate. When the two countries act cooperatively, then for each country, the cooperative optimal income tax rate is positive, and if they are identical then the cooperative income tax rate is greater than the Nash. When the two countries are different, then it is possible that the cooperative income tax rate is less than the Nash.Nash and cooperative income taxes,capital mobility, public goods

On the three-person game baccara banque

Baccara banque is a three-person zero-sum game parameterized by $\theta\in(0,1)$. A study of the game by Downton and Lockwood claimed that the Nash equilibrium is of only academic interest. Their preferred alternative is what we call the independent cooperative equilibrium. But this solution exists only for certain $\theta$. A third solution, which we call the correlated cooperative equilibrium, always exists. Under a "with replacement" assumption as well as a simplifying assumption concerning the information available to one of the players, we derive each of the three solutions for all $\theta$.Comment: 22 pages, 4 figures, and a 54-page appendix; new figure and minor corrections in v

Household behavior and individual autonomy: A Lindahl approach.

A comprehensive model of economic household decision is presented which incorporates both fully cooperative and fully non-cooperative variants, parameterized by the income distribution, as well as a semi-cooperative variant, parameterized in addition by a vector B, representing the degrees of individual autonomy. In this comprehensive model, the concept of "household B-equilibrium" is introduced through the reformulation of the Lindahl equilibrium in strategic terms. Existence is proved and some generic properties of the household B-equilibrium derived. An example is given to illustrate. Finally a particular decomposition of the pseudo-Slutsky matrix is derived and the testability of the various models discussed.Intra-household allocation, household financial management, degree of autonomy, Lindahl prices, local income pooling, separate spheres.

Collective Bargaining under Non-Binding Contracts

We introduce collective bargaining in a static framework where the firm and its risk-neutral employees negotiate over wages in a non-binding contract setting. Our main result is the equivalence between the non-binding collective equilibrium wage-employment contract and the equilibrium contract under binding risk-neutral efficient bargaining. We also demonstrate that our non-cooperative equilibrium wages and profits coincide with the Owen values of the corresponding cooperative game with the coalitional structure that follows from unionization.collective bargaining, union, firm, bargaining power, non-binding contract