Nash equilibrium for collective strategic reasoning

Simulation of baseball gaming by cooperation and non-cooperation strategies

“…The automation of baseball gaming comprises of the basic and compound defense or offence plays by player [7] and are denoted by the abbreviations in Table 1. Plays are weighted and total ordered regarding their average frequency of occurrence from MLB (Major League Baseball) statistics (see Figure 1), e.g., strike(s) occurs more Computación y Sistemas, Vol.…”

“…The baseball context-free language is read by the associated push-down automaton (PDA), hence any simple or complex baseball expression is formal correct. The occurrence of plays is in a reallife-like manner such that the higher the frequency of occurrence of a play in real human matches, the higher the probability the play is included in the match formal account and simulation [7]. The PDA for baseball is shape-of-field-like modeled: the home, 1 st , 2 nd , 3 rd bases, and a special base, these bases are modeled as the PDA states; the transitions between the states (one to one) are the plays (movements) the players can perform, (see baseball PDA in Figure 2), also see Appendix A.…”

“…In Game Theory, NE is the formal fundament of non-cooperative game and commonly used for decision-making in competitive scenarios [12]. The automation of baseball strategic gaming by applying a Nash equilibrium for selection of strategies by a team is performed and the strength obtained has been analyzed in [7]. However, a NE strategy profile is frequently not Pareto optimal and may not lead to the best decision-making for a team but just to a half-good for individuals, which could, in the long term, have negative impact for the whole team.…”

“…For each of NE and KE and each team and/or player, a set of payoff matrices comprise the quantitative analysis by regarding: 1) if the match is at the first, middle, or late innings, 2) the score conditions (winning, losing, or drawing), 3) the number of outs in the inning, and 4) the players' position on the bases following the methodology in [7].…”

Modelado y análisis formal de jugadas del fútbol

“…La selección de estrategias es un aspecto esencial a considerar en la automatización del FS. Actualmente, el modelado formal y el análisis estratégico para juegos multi-jugador como el fútbol americano o el béisbol [2,4,1], es relevante en la ciencia de los deportes, la computación y la teoría de juegos.…”