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This paper studies models where the optimal response functions under consideration are non-increasing in endogenous variables, and weakly increasing in exogenous parameters. Such models include games with strategic substitutes, and include cases where additionally, some variables may be...
Persistent link: https://www.econbiz.de/10012824357
expositions of the Lemke-Howson algorithm and the Van den Elzen-Talman algorithm to compute Nash equilibria in 2-person games, and …
Persistent link: https://www.econbiz.de/10013124577
Nash equilibrium in completely mixed games, are very special to two-person games. The Lemke-Howson algorithm and … Rosenmüller's algorithm which locate a Nash equilibrium in finite arithmetic steps are not extendable to general n -person games …
Persistent link: https://www.econbiz.de/10014024501
In this note we generalize a numerical algorithm presented in [9] to calculate all solutions of the scalar algebraic …-quadratic differential game. The algorithm is based on calculating the positive roots of a polynomial matrix …
Persistent link: https://www.econbiz.de/10013076437
We consider a basic stochastic evolutionary model with rare mutation and a best-reply (or better-reply) selection mechanism. Following Young's papers, we call a state stochastically stable if its long-term relative frequency of occurrence is bounded away from zero as the mutation rate decreases...
Persistent link: https://www.econbiz.de/10009727120
A generalized game is a strategic situation in which agents' behavior restricts their opponents' available action choices, giving rise to interdependencies in terms of what strategy profiles remain mutually feasible. This paper proposes a novel example of a simple generalized game in which the...
Persistent link: https://www.econbiz.de/10012833623
This article presents a new approach to analyze the equilibrium set of symmetric, differentiable games by separating multiple symmetric equilibria and asymmetric equilibria. This separation allows the investigation of, for example, how various parameter constellations affect the scope for...
Persistent link: https://www.econbiz.de/10011744039
We analyze a two-stage game of strategic firms facing uncertain demand and exerting market power in decentralized electricity markets. These firms choose their generation capacities at the first stage while anticipating a perfectly competitive future electricity spot market outcome at the second...
Persistent link: https://www.econbiz.de/10013077349
In this paper the problem of optimal derivative design, profit maximization and risk minimization under adverse selection when multiple agencies compete for the business of a continuum of heterogenous agents is studied. In contrast with the principal-agent models that are extended within, here...
Persistent link: https://www.econbiz.de/10008663447
We call a correspondence, defined on the set of mixed strategy profiles, a generalized best reply correspondence if it has (1) a product structure, is (2) upper semi-continuous, (3) always includes a best reply to any mixed strategy profile, and is (4) convex- and closed-valued. For each...
Persistent link: https://www.econbiz.de/10009231404