Schedulers, Potentials and Weak Potentials in Weakly Acyclic Games
AbstractIn a number of large, important families of finite games, not only do pure-strategy Nash equilibria always exist but they are also reachable from any initial strategy profile by some sequence of myopic single-player moves to a better or best-response strategy. This weak acyclicity property is shared, for example, by all perfect-information extensive-form games, which are generally not acyclic since even sequences of best-improvement steps may cycle. Weak acyclicity is equivalent to the existence of weak potential, which unlike a potential increases along some rather than every sequence as above, as well as to the existence of an acyclic scheduler, which guarantees convergence to equilibrium by disallowing certain (improvement) moves. A number of sufficient conditions for acyclicity and weak acyclicity are known.
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Bibliographic InfoPaper provided by Department of Economics, Bar-Ilan University in its series Working Papers with number 2013-03.
Length: 8 pages
Date of creation: Mar 2013
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2013-03-30 (All new papers)
- NEP-GTH-2013-03-30 (Game Theory)
- NEP-MIC-2013-03-30 (Microeconomics)
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