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This paper studies fictitious play in networks of noncooperative two-person games. We show that continuous … functions do not possess the continuous-time fictitious-play property. As extensions, we consider networks in which each … zero-sum networks. Applications include security games, conflict networks, and decentralized wireless channel selection. …
Persistent link: https://www.econbiz.de/10012026511
This paper studies fictitious play in networks of noncooperative two-player games. We show that continuous …-play property. As an extension, we consider networks in which each bilateral game is strategically zero-sum, a weighted potential …, which entails a generalization of Robinson's theorem to arbitrary zero-sum networks. Applications include security games …
Persistent link: https://www.econbiz.de/10011663198
This paper studies fictitious play in networks of noncooperative two-player games. We show that continuous …-play property. As an extension, we consider networks in which each bilateral game is strategically zero-sum, a weighted potential …, which entails a generalization of Robinson's theorem to arbitrary zero-sum networks. Applications include security games …
Persistent link: https://www.econbiz.de/10011571263
This paper studies fictitious play in networks of noncooperative two-person games. We show that continuous … functions do not possess the continuous-time fictitious-play property. As extensions, we consider networks in which each … zero-sum networks. Applications include security games, conflict networks, and decentralized wireless channel selection. …
Persistent link: https://www.econbiz.de/10012018918
Payoff security combined with reciprocal upper semicontinuity is sufficient for better-reply security, and consequently for the existence of a pure strategy Nash equilibrium in compact, quasiconcave games by Reny's (1999) theorem. Analogously, diagonal payoff security combined with upper...
Persistent link: https://www.econbiz.de/10013348845
This paper studies Colonel Blotto games with two battlefields where one player has a head start in the form of additional troops on one of the battlefields. Such games arise naturally in marketing, electoral competition, and military conflict. Sion and Wolfe (1957) have shown that, if the...
Persistent link: https://www.econbiz.de/10013441504
As pointed out by Sion and Wolfe (1957), a non-cooperative game on the unit square need not admit a Nash equilibrium, neither in pure nor in randomized strategies. In this paper, we consider finite approximations of the Sion-Wolfe game. For all parameter constellations relevant for the limit...
Persistent link: https://www.econbiz.de/10014333782
Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous...
Persistent link: https://www.econbiz.de/10010316821
Biconcavity is a simple condition on inverse demand that corresponds to the ordinary concept of concavity after simultaneous parameterized transformations of price and quantity. The notion is employed here in the framework of the homogeneous-good Cournot model with potentially heterogeneous...
Persistent link: https://www.econbiz.de/10011282458
This paper examines multi-battle contests whose extensive form can be represented in terms of a finite state machine. We start by showing that any contest that satisfies our assumptions decomposes into two phases, a principal phase (in which states cannot be revisited) and a concluding...
Persistent link: https://www.econbiz.de/10011993811