caa a22 4500 47581441X CHVBK 20180406123806.0 cr unu---uuuuu 170329e20001101xx s 000 0 eng 10.1007/s001820000051 doi (NATIONALLICENCE)springer-10.1007/s001820000051 Player splitting in extensive form games [Elektronische Daten] [Andrés Perea y Monsuwé, Mathijs Jansen, Dries Vermeulen] Abstract.: By a player splitting we mean a mechanism that distributes the information sets of a player among so-called agents. A player splitting is called independent if each path in the game tree contains at most one agent of every player. Following Mertens (1989), a solution is said to have the player splitting property if, roughly speaking, the solution of an extensive form game does not change by applying independent player splittings. We show that Nash equilibria, perfect equilibria, Kohlberg-Mertens stable sets and Mertens stable sets have the player splitting property. An example is given to show that the proper equilibrium concept does not satisfy the player splitting property. Next, we give a definition of invariance under (general) player splittings which is an extension of the player splitting property to the situation where we also allow for dependent player splittings. We come to the conclusion that, for any given dependent player splitting, each of the above solutions is not invariant under this player splitting. The results are used to give several characterizations of the class of independent player splittings and the class of single appearance structures by means of invariance of solution concepts under player splittings. Springer-Verlag Berlin Heidelberg, 2000 JEL classification: C72 nationallicence Key words: Extensive form games, equilibrium refinements, player splitting nationallicence Perea y Monsuwé Andrés Department of Economics, Universidad Carlos III de Madrid, Calle Madrid 126, 28903 Getafe-Madrid, Spain (e-mail: perea@eco.uc3m.es), ES aut Jansen Mathijs Department of Quantitative Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands, NL aut Vermeulen Dries Department of Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands, NL aut https://doi.org/10.1007/s001820000051 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s001820000051 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Perea y Monsuwé Andrés Department of Economics, Universidad Carlos III de Madrid, Calle Madrid 126, 28903 Getafe-Madrid, Spain (e-mail: perea@eco.uc3m.es), ES aut NATIONALLICENCE 700 1- Jansen Mathijs Department of Quantitative Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands, NL aut NATIONALLICENCE 700 1- Vermeulen Dries Department of Economics, Maastricht University, P.O. Box 616, 6200 MD Maastricht, The Netherlands, NL aut Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer