@inproceedings(escardo98, author = {Martin Escard\'o}, year = {1998}, title = {Effective and sequential definition by cases on the reals via infinite signed-digit numerals}, booktitle = {Proceedings of the 3rd workshop on Computation and Approximation}, series = {ENTCS}, volume = {13}, doi = {10.1016/S1571-0661(05)80214-2}, ) @article(escardo04, author = {Martin Escard\'o}, year = {2004}, title = {Synthetic topology of data types and classical spaces}, journal = {ENTCS}, volume = {87}, pages = {21--156}, doi = {10.1016/j.entcs.2004.09.017}, ) @(escardo07, author = {Martin Escard\'o}, year = {2007}, title = {Seemingly impossible functional programs}, url = {http://math.andrej.com/2007/09/28/seemingly-impossible-functional-programs/}, ) @article(escardo08, author = {Martin Escard\'o}, year = {2008}, title = {Exhaustible sets in higher-type computation}, journal = {Logical methods in computer science}, volume = {4}, number = {3:3}, pages = {1--37}, doi = {10.2168/lmcs-4(3:3)2008}, ) @article(escardo10a, author = {Martin Escard\'o and Paulo Oliva}, year = {2010}, title = {Selection functions, bar recursion and backward induction}, journal = {Mathematical structures in computer science}, volume = {20}, number = {2}, pages = {127--168}, doi = {10.1017/S0960129509990351}, ) @inproceedings(escardo10d, author = {Martin Escard\'o and Paulo Oliva}, year = {2010}, title = {What sequential games, the {T}ychonoff theorem and the double-negation shift have in common}, booktitle = {Proceedings of MSFP'10}, doi = {10.1145/1863597.1863605}, ) @article(escardo11, author = {Martin Escard\'o and Paulo Oliva}, year = {2011}, title = {Sequential games and optimal strategies}, journal = {Proceedings of the Royal Society A}, volume = {467}, pages = {1519--1545}, doi = {10.1098/rspa.2010.0471}, ) @article(escardo12, author = {Martin Escard\'o and Paulo Oliva}, year = {2012}, title = {Computing {N}ash equilibria of unbounded games}, journal = {Proceedings of the Turing centenary conference}, url = {http://www.easychair.org/publications/paper/106503}, ) @article(escardo15b, author = {Martin Escard\'o and Paulo Oliva}, year = {2017}, title = {The {H}erbrand functional interpretation of the double negation shift}, journal = {Journal of symbolic logic}, volume = {82}, number = {2}, pages = {590--607}, doi = {10.1017/jsl.2017.8}, ) @inproceedings(hedges14, author = {Jules Hedges}, year = {2014}, title = {Monad transformers for backtracking search}, booktitle = {Proceedings of MSFP'14}, series = {EPTCS}, pages = {31--50}, doi = {10.4204/EPTCS.153.3}, ) @unpublished(hedges15a, author = {Jules Hedges}, year = {2015}, title = {The selection monad as a {CPS} translation}, note = {ArXiv:1503.06061}, ) @phdthesis(hedges_towards_compositional_game_theory, author = {Jules Hedges}, year = {2016}, title = {Towards compositional game theory}, school = {Queen Mary University of London}, ) @inproceedings(hedges_etal_selection_equilibria_higher_order_games, author = {Jules Hedges and Paulo Oliva and Evguenia Shprits and Viktor Winschel and Philipp Zahn}, year = {2017}, title = {Selection equilibria of higher-order games}, booktitle = {Practical aspects of declaritive languages}, series = {Lecture Notes in Computer Science}, volume = {10137}, publisher = {Springer}, pages = {136--151}, doi = {10.1007/978-3-319-51676-9_9}, ) @article(lescanne12, author = {Pierre Lescanne and Matthieu Perrinel}, year = {2012}, title = {``{B}ackward'' coinduction, {N}ash equilibrium and the rationality of escalation}, journal = {Acta Informatica}, volume = {49}, number = {3}, pages = {117--137}, doi = {10.1007/s00236-012-0153-3}, ) @book(brown08, author = {Leyton-Brown, Kevin and Yoav Shoham}, year = {2008}, title = {Essentials of game theory: a concice, multidisciplinary introduction}, publisher = {Morgan and Claypool}, ) @book(mailath_samuelson_repeated_games_reputations, author = {George Mailath and Larry Samuelson}, year = {2006}, title = {Repeated games and reputations}, publisher = {Oxford University Press}, doi = {10.1093/acprof:oso/9780195300796.001.0001}, ) @book(mas_collel_etal_microeconomic_theory, author = {Mas-Colell, Andreu and Michael Whinston and Jerry Green}, year = {1995}, title = {Microeconomic theory}, publisher = {Oxford University Press}, ) @article(moggi91, author = {Eugenio Moggi}, year = {1991}, title = {Notions of computation and monads}, journal = {Information and Computation}, volume = {93}, pages = {55--92}, doi = {10.1016/0890-5401(91)90052-4}, ) @article(nash50b, author = {John Nash}, year = {1950}, title = {Equilibrium points in $n$-person games}, journal = {Proceedings of the National Academy of Sciences}, volume = {36}, number = {1}, pages = {48--49}, doi = {10.1073/pnas.36.1.48}, ) @book(vonneumann44, author = {John von Neumann and Oskar Morgenstern}, year = {1944}, title = {Theory of games and economic behaviour}, publisher = {Princeton University Press}, ) @article(schwalbe01, author = {Ulrich Schwalbe and Paul Walker}, year = {2001}, title = {{Z}ermelo and the early history of game theory}, journal = {Games and economic behaviour}, volume = {34}, pages = {123--137}, doi = {10.1006/game.2000.0794}, ) @techreport(weihrauch-simple-introduction-computable-analysis, author = {Klaus Weihrauch}, year = {1995}, title = {A simple introduction to computable analysis}, type = {Technical Report}, institution = {Fern Universit\"at}, )